Search Results

Novel Contributions to the System of Fractional Hamiltonian Equations,
Tayeb Mahrouz, Abdelaziz Mennouni, Abdelkader Moumen and Tariq Alraqad, in Mathematics (2023)
Keywords: system; fractional Hamiltonian equations; bounded below

Linearisation and potential symmetries of certain systems of diffusion equations,
C. Sophocleous and R.J. Wiltshire, in Physica A: Statistical Mechanics and its Applications (2006)
Keywords: Systems of diffusion equations; Potential symmetries; Linearising mappings;

Method-of-Moment View of Linear Simultaneous Equation Systems,
Myoung-jae Lee, from Institute of Economic Research, Korea University (2007)
Keywords: methods of moments, linear simultaneous equations, system estimation

On the solutions of a system of difference equations with maximum,
Taixiang Sun and Hongjian Xi, in Applied Mathematics and Computation (2016)
Keywords: Max-type system of difference equations; Solution; Eventual periodicity;

On autoregressive errors in singular systems of equations,
Harry Haupt and Walter Oberhofer, from University of Regensburg, Department of Economics (2005)
Keywords: Verallgemeinertes Regressionsmodell; Singuläre Systeme ; Identifikation; singular equation systems ; identification

Solving discrete systems of nonlinear equations,
Gerard van der Laan, Adolphus Talman and Zaifu Yang, in European Journal of Operational Research (2011)
Keywords: Discrete system of equations Triangulation Simplicial algorithm Fixed point Zero point

Solving Discrete Systems of Nonlinear Equations,
Gerard van der Laan, Adolphus Talman and Zaifu Yang, from Tinbergen Institute (2009)
Keywords: Discrete system of equations, triangulation, simplicial algorithm, fixed point, zero point

Multilevel bilinear systems of stochastic differential equations,
Geneviève Gauthier, in Stochastic Processes and their Applications (1997)
Keywords: Bilinear system Hierarchical system Mean field Stochastic differential equation

Unimprovable solution to systems of empirical linear algebraic equations,
A. V. Serdobolskii, in Statistics & Probability Letters (2002)
Keywords: Empirical systems of equations Empirical linear models Systems of random linear algebraic equations

Foreign direct investment, foreign trade and environment: New evidence from simultaneous-equation system of gravity models,
Bassem Kahouli and Anis Omri, in Research in International Business and Finance (2017)
Keywords: FDI; Trade; Gravity equations; Simultaneous-equation system;

Derivation of the stochastic Burgers equation from totally asymmetric interacting particle systems,
Kohei Hayashi, in Stochastic Processes and their Applications (2023)
Keywords: KPZ equation; Stochastic Burgers equation; Interacting particle systems; q-TASEP;

On Multivariate Picard–Fuchs Systems and Equations,
Alexander G. Aleksandrov, in J (2023)
Keywords: Gauss–Manin systems and connections; Legendre equation; versal integrals; period integrals; deformations; logarithmic differential forms; Horn’s hypergeometric functions; Picard–Fuchs systems; Fuchsian equations

Solution for Rational Systems of Difference Equations of Order Three,
Mohamed M. El-Dessoky, in Mathematics (2016)
Keywords: Keywords; difference equations; recursive sequences; stability; periodic solution; system of difference equations

Developing high order methods for the solution of systems of nonlinear equations,
Changbum Chun and Beny Neta, in Applied Mathematics and Computation (2019)
Keywords: Iterative methods; Order of convergence; Systems of equations;

Note on the existence of periodic solutions of a class of systems of differential-difference equations,
Josef Diblík, Bratislav Iričanin, Stevo Stević and Zdeněk Šmarda, in Applied Mathematics and Computation (2014)
Keywords: Systems of differential-difference equations; Periodic solutions;

A study of the subdiffusive fractional Fokker–Planck equation of bistable systems,
F. So and K.L. Liu, in Physica A: Statistical Mechanics and its Applications (2004)
Keywords: Fractional Fokker–Planck equation; Subdiffusive bistable systems;

An expert system for the numerical solution of the one-dimensional Schrödinger equation,
T.E. Simos and G.V. Mitsou, in Mathematics and Computers in Simulation (MATCOM) (1994)
Keywords: Expert Systems; Schrödinger equation; Phase shift problem;

A unified model for solving a system of nonlinear equations,
Qifang Su, in Applied Mathematics and Computation (2016)
Keywords: System of nonlinear equations; Newton’s method; Order of convergence; Efficiency;

Unbounded increasing solutions of a system of difference equations with delays,
Josef Diblík, Radoslav Chupáč and Miroslava Růžičková, in Applied Mathematics and Computation (2015)
Keywords: Unbounded solution; System of difference equations; Discrete delay; Exponential form;

The Möbius transform effect in singular systems of differential equations,
Ioannis Dassios, Georgios Tzounas and Federico Milano, in Applied Mathematics and Computation (2019)
Keywords: Singularity; Dynamical system; Möbius transform; Initial conditions; Differential equations;

Nash–type equilibria for systems of non-potential equations,
Michał Bełdziński and Marek Galewski, in Applied Mathematics and Computation (2020)
Keywords: Nash-type equilibrium; Monotone operator; System of semilinear equations;

Systems of stochastic Poisson equations: Hitting probabilities,
Marta Sanz-Solé and Noèlia Viles, in Stochastic Processes and their Applications (2018)
Keywords: Systems of stochastic Poisson equations; Hitting probabilities; Capacity; Hausdorff measure;

Tests for stability in linear structural equation systems,
P. Bentler and Edward Freeman, in Psychometrika (1983)
Keywords: structural equations, nonrecursive models, linear system stability, effect decomposition,

On a Parameterized System of Nonlinear Equations with Economic Applications,
Adolphus Talman and Zaifu Yang, in Journal of Optimization Theory and Applications (2012)
Keywords: Parameterized system of nonlinear equations, Fixed point, Variational inequality, Algorithm, Equilibrium

The Development of Suitable Inequalities and Their Application to Systems of Logical Equations,
Dostonjon Numonjonovich Barotov, Ruziboy Numonjonovich Barotov, Vladimir Soloviev, Vadim Feklin, Dilshod Muzafarov, Trusunboy Ergashboev and Khudoyberdi Egamov, in Mathematics (2022)
Keywords: inequalities; proof of inequalities; application of inequalities; Zhegalkin polynomials; logical operations; systems of logical equations; algebraic cryptanalysis; approximation; numerical optimization; system of polynomial equations

Stability of solutions of systems of Volterra integral equations,
I.V. Boykov, V.A. Roudnev and A.I. Boykova, in Applied Mathematics and Computation (2024)
Keywords: Stability; Systems of Volterra linear integral equations; Systems integro-differential Volterra equations; Perturbed right hand sides; Perturbed initial conditions;

Generalized system of trial equation methods and their applications to biological systems,
Ali Ozyapici and Bülent Bilgehan, in Applied Mathematics and Computation (2018)
Keywords: Trial equation method; Nonlinear system differential equations; Ebola virus; SIR; Lotka–Volterra;

On the system of difference equations xn=xn−1yn−2ayn−2+byn−1,yn=yn−1xn−2cxn−2+dxn−1,
Stevo Stević, Josef Diblík, Bratislav Iričanin and Zdeněk Šmarda, in Applied Mathematics and Computation (2015)
Keywords: System of difference equations; System solved in closed form; Long term behavior;

On hybrid dynamical systems of differential–difference equations,
Ioannis Dassios, Angel Vaca and Federico Milano, in Chaos, Solitons & Fractals (2024)
Keywords: Hybrid dynamical systems; Differential–difference equations; Stability analysis; Transfer function matrix; Power systems stability;

Equations of Motion for Constrained Multibody Systems and their Control,
F. E. Udwadia, in Journal of Optimization Theory and Applications (2005)
Keywords: Analytical dynamics, multibody and nonlinear systems, constrained motion, explicit equations of motion, exact control of nonlinear systems

System of fractional differential algebraic equations with applications,
B. Shiri and D. Baleanu, in Chaos, Solitons & Fractals (2019)
Keywords: System of fractional differential equations; A simple pendulum in Newtonian fluid; Mittag–Leffler function; Electrical circuits containing fractors; The index of fractional differential algebraic equations;

Exact solutions for KdV system equations hierarchy,
Tong-ke Ning, Chong-feng Wu and Da-jun Zhang, in Physica A: Statistical Mechanics and its Applications (2007)
Keywords: Exact solutions; KdV system equations hierarchy; Isospectral KdV hierarchy; Nonisospectral KdV hierarchy; τ-equations; Inverse scattering transform;

Stochastic models for forward systems of nonlinear parabolic equations,
Yana Belopolskaya, in Statistical Papers (2018)
Keywords: Stochastic model, Conservation law, Stochastic flow, System of PDEs, Stochastic differential equations, Nonlinear Kolmogorov equations, Nonlinear Markov processes

Fokker–Planck equation and subdiffusive fractional Fokker–Planck equation of bistable systems with sinks,
C.w Chow and K.l Liu, in Physica A: Statistical Mechanics and its Applications (2004)
Keywords: Fractional Fokker–Planck equation with sinks; Subdiffusive bistable systems;

A simple algorithm for exact solutions of systems of linear and nonlinear integro-differential equations,
Liaqat Ali, Saeed Islam and Taza Gul, in Applied Mathematics and Computation (2017)
Keywords: Systems of linear and nonlinear integro-differential equations; Series solution; Volterra integral equations;

On solving systems of multi-pantograph equations via spectral tau method,
S.S. Ezz-Eldien, in Applied Mathematics and Computation (2018)
Keywords: Jacobi polynomials; Spectral tau method; Pantograph differential equations; System of differential equations;

Finite difference scheme for one system of nonlinear partial integro-differential equations,
Frederic Hecht, Temur Jangveladze, Zurab Kiguradze and Olivier Pironneau, in Applied Mathematics and Computation (2018)
Keywords: Maxwell equations; System of nonlinear integro-differential equations; Unique solvability; Asymptotic behavior; Finite difference scheme; FreeFem++ implementation;

On positive solutions of some classes of max-type systems of difference equations,
Stevo Stević, in Applied Mathematics and Computation (2014)
Keywords: System of difference equations; Global attractivity; Eventually constant solutions; Max-type difference equation;

Improving Initial Guess for the Iterative Solution of Linear Equation Systems in Incompressible Flow,
Shuai Ye, Yufei Lin, Liyang Xu and Jiaming Wu, in Mathematics (2020)
Keywords: incompressible Navier–Stokes equations; segregated iterative algorithm; linear equation system; initial guess; iterative method

Resolution of Initial Value Problems of Ordinary Differential Equations Systems,
Josep Vicent Arnau i Córdoba and Màrius Josep Fullana i Alfonso, in Mathematics (2022)
Keywords: numerical; initial value problem; ordinary differential equations systems; exact solutions of einstein equations

Systems of stochastic partial differential equations with reflection: Existence and uniqueness,
Tusheng Zhang, in Stochastic Processes and their Applications (2011)
Keywords: Systems of stochastic partial differential equations Stochastic partial differential equations with reflection Random measures Sobolev embedding

Simultaneous Equations Models Used in the Study of Some Issues Related to the Corruption and Performance of Services in the Public Health System,
Tudorel Andrei, Ani Matei and Bogdan Oancea, in Theoretical and Applied Economics (2009)
Keywords: simultaneous equations models; public health system; reform.

Extended ordinary differential equation models for solar heating systems with pipes,
R. Kicsiny, J. Nagy and Cs. Szalóki, in Applied Energy (2014)
Keywords: Solar heating systems; Pipes; Extended mathematical models; Ordinary differential equations;

A system of nonsmooth equations solver based upon subgradient method,
Qiang Long, Changzhi Wu and Xiangyu Wang, in Applied Mathematics and Computation (2015)
Keywords: System of equations; Subgradient method; Bilevel programming; Nonlinear complementarity problem;

Comparison principles for systems of Caputo fractional order ordinary differential equations,
Cong Wu, in Chaos, Solitons & Fractals (2023)
Keywords: Comparison principle; System; Caputo fractional order ordinary differential equation;

Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations,
Mohamed Jleli and Bessem Samet, in Mathematics (2019)
Keywords: absence of global solutions; inhomogeneous system; fractional differential equations

Averaging Methods for Second-Order Differential Equations and Their Application for Impact Systems,
Michal Fečkan and Július Pačuta, in Mathematics (2020)
Keywords: averaging method; differential equations of second order; impact systems

A Novel Vieta–Fibonacci Projection Method for Solving a System of Fractional Integrodifferential Equations,
Abdelkader Moumen, Abdelaziz Mennouni and Mohamed Bouye, in Mathematics (2023)
Keywords: integrodifferential equations; system; fractional; Vieta–Fibonacci polynomials; projection method

ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA–BALEANU DERIVATIVE,
Mohammed Al-Refai, Muhammed I. Syam and Dumitru Baleanu, in FRACTALS (fractals) (2023)
Keywords: Fractional Differential Equations, Linear Systems, Mittag-Leffler Kernel

Nonequilibrium fluctuations in particle systems modelling reaction-diffusion equations,
C. Boldrighini, A. De Masi and A. Pellegrinotti, in Stochastic Processes and their Applications (1992)
Keywords: interacting particle systems fluctuation fields reaction-diffusion equations

A comparison of normal and discrete bootstraps for standard errors in equation systems,
Henri Theil, Mercedes C. Rosalsky and Renate Finke, in Statistics & Probability Letters (1984)
Keywords: asymptotic standard error bootstrap equation system maximum likelihood

A study of the Fokker–Planck equation of bistable systems by the method of state-dependent diagonalization,
F. So and K.L. Liu, in Physica A: Statistical Mechanics and its Applications (2000)
Keywords: Fokker–Planck equation; Bistable systems; State-dependent diagonalization; Stochastic resonance;

Kac particle systems with free motion and equations of Boltzmann type,
Nekrutkin V., in Monte Carlo Methods and Applications (2003)
Keywords: equations of Boltzmann type,, Monte Carlo methods,, Kac n-particle systems

A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations,
William La Cruz, in Journal of Global Optimization (2022)
Keywords: Genetic algorithm, Systems of nonlinear equations, Fitness Function, Residual approach

Convergence of the Multiplicative Algebraic Reconstruction Technique for the Inconsistent System of Equations,
Thomas Katsekpor, in SN Operations Research Forum (2023)
Keywords: Kullback-Leibler distance, Multiplicative algebraic reconstruction technique, Inconsistent system of equations

Global asymptotic stability of a second-order system of difference equations,
Tran Hong Thai and Vu Van Khuong, in Indian Journal of Pure and Applied Mathematics (2014)
Keywords: Rational difference equations, system, global asymptotic stability, equilibrium point, semicycle

A Meta-analysis of the Price Elasticity of Gasoline Demand. A System of Equations Approach,
Martijn Brons, Peter Nijkamp, Eric Pels and Piet Rietveld, from Tinbergen Institute (2006)
Keywords: Meta-analysis; Price elasticities; Gasoline demand; System of equations

A Novel Parallel Hardware Methodology for Solving Linear System of Equations,
Bowei Zhang, Guochang Gu, Lin Sun and Xingzhou Zhang, from Springer (2013)
Keywords: Parallel methodology, Linear system of equations, Hardware-optimized algorithm

Forecasting Values of Endogenous Variables in the System of Simultaneous Equations,
Naumov Vladimir N., in Business Inform (2013)
Keywords: forecasting, systems of simultaneous equations, endogenous variables, exogenous variables, time series, random component, macro-economic indicators

Moving least square for systems of integral equations,
Mashallah Matin far and Masoumeh Pourabd, in Applied Mathematics and Computation (2015)
Keywords: Meshless method; Moving least square; The system of Fredholm integral equation; Numerical solution; Error analysis;

Persistence and periodic solutions in systems of delay differential equations,
Pablo Amster and Melanie Bondorevsky, in Applied Mathematics and Computation (2021)
Keywords: Delay differential equations; Semi-dynamical systems; Persistence; Guiding functions; Periodic solutions; Topological degree; Global attractor;

systemfit: A Package to Estimate Simultaneous Equation Systems in R,
Arne Henningsen and Jeff Hamann, from University Library of Munich, Germany (2006)
Keywords: simultaneous equations systems; seemingly unrelated regression; two-stage least squares; three-stage least squares; R

Testing for common breaks in a multiple equations system,
Tatsushi Oka and Pierre Perron, in Journal of Econometrics (2018)
Keywords: Change-point; Segmented regressions; Break dates; Hypothesis testing; Multiple equations systems;

Solution to fuzzy system of linear equations with crisp coefficients,
D. Behera and S. Chakraverty, in Fuzzy Information and Engineering (2013)
Keywords: Fuzzy number, Fuzzy system of linear equations, α-cut, Triangular fuzzy number

Exclusion regions for parameter-dependent systems of equations,
Bettina Ponleitner and Hermann Schichl, in Journal of Global Optimization (2021)
Keywords: Zeros, Parameter-dependent systems of equations, Rigorous enclosures, Inclusion region, Exclusion region, Feasible parameter region, Branch and bound

Modified differential evolution to solve systems of nonlinear equations,
Pooja Tiwari, Vishnu Narayan Mishra and Raghav Prasad Parouha, in OPSEARCH (2024)
Keywords: Nonlinear equations systems, Metaheuristic algorithm, Differential evolution, Mutation strategy, Convergence accuracy

Testing for common breaks in a multiple equations system,
Tatsushi Oka and Pierre Perron, from Monash University, Department of Econometrics and Business Statistics (2018)
Keywords: change-point, segmented regressions, break dates, hypothesis testing, multiple equations systems.

Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: Application to nonlinear PDEs and ODEs,
Malik Zaka Ullah, S. Serra-Capizzano, Fayyaz Ahmad and Eman S. Al-Aidarous, in Applied Mathematics and Computation (2015)
Keywords: Multi-step; Iterative methods; Systems of nonlinear equations; Nonlinear partial differential equations; Nonlinear ordinary differential equations;

On the H-theorem for the Becker–Döring system of equations for the cases of continuum approximation and discrete time,
S.Z. Adzhiev, I.V. Melikhov and V.V. Vedenyapin, in Physica A: Statistical Mechanics and its Applications (2020)
Keywords: The H-theorem; The Becker–Döring system of equations; The Fokker–Planck equation; The Einstein–Kolmogorov equation; The diffuse approximation; Discrete time;

Supply and Demand Model for a Chili Enterprise System Using a Simultaneous Equations System,
Meuthia Rachmaniah, Arif Imam Suroso, Muhamad Syukur and Irman Hermadi, in Economies (2022)
Keywords: business analytics; chili agro-system; data mining; data preprocessing; decision support system; enterprise system; simultaneous equation system; supply and demand; two-stage least square

Systems of Linear Equations,
Fuad Aleskerov, Hasan Ersel and Dmitri Piontkovski, from Springer (2011)
Keywords: Linear Equation, Demand Function, Public Consumption, Private Investment, Unknown Variable

Applications of the linear Differential Equations on the plane and Elements of Nonlinear Systems, In Economics,
Farkhondeh Jabalameli, in Iranian Economic Review (IER) (2005)
Keywords: Differential Equations, Linear Systems, Nonlinear Systems, Phase Diagram (Plane), Liapunov’s Theorem.

Explicit analytical solutions of incommensurate fractional differential equation systems,
Ismail T. Huseynov, Arzu Ahmadova, Arran Fernandez and Nazim I. Mahmudov, in Applied Mathematics and Computation (2021)
Keywords: Caputo fractional derivative; Fractional differential equation systems; Bivariate Mittag-Leffler functions; Incommensurate system;

Stability of Systems of Fractional-Order Differential Equations with Caputo Derivatives,
Oana Brandibur, Roberto Garrappa and Eva Kaslik, in Mathematics (2021)
Keywords: fractional differential equations; stability; linear systems; multi-order systems; Mittag–Leffler function

Mathematical Modeling of COVID-19 Transmission in the Form of System of Integro-Differential Equations,
Alexander Domoshnitsky, Alexander Sitkin and Lea Zuckerman, in Mathematics (2022)
Keywords: integro-differential equations system; stability of integro-differential system; Cauchy matrix; COVID-19; infectious disease; reproduction number

Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations,
Mustafa R. S. Kulenović, Mehmed Nurkanović, Zehra Nurkanović and Susan Trolle, in Mathematics (2023)
Keywords: competitive; discrete dynamical systems; difference equations; evolutionary; non-autonomous systems; stability

Construction of indicator system of regional economic system impact factors based on fractional differential equations,
Jun Zhang, Xiaoming Fu and Harry Morris, in Chaos, Solitons & Fractals (2019)
Keywords: Fractional differential equation; Regional economy; Balanced development; System construction;

Transformation Method for Solving System of Boolean Algebraic Equations,
Dostonjon Barotov, Aleksey Osipov, Sergey Korchagin, Ekaterina Pleshakova, Dilshod Muzafarov, Ruziboy Barotov and Denis Serdechnyy, in Mathematics (2021)
Keywords: harmonic functions; Boolean polynomials; logical operations; systems of Boolean algebraic equations; algebraic cryptanalysis; approximation; Boolean satisfiability problem; optimization; Universal SAT problem

Stability of the Exponential Type System of Stochastic Difference Equations,
Leonid Shaikhet, in Mathematics (2023)
Keywords: system of nonlinear difference equations; zero and nonzero equilibria; stochastic perturbations; asymptotic mean square stability; stability in probability; numerical simulation; MATLAB

Quantum kinetic equation for nonequilibrium dense systems,
V.G. Morozov and G. Röpke, in Physica A: Statistical Mechanics and its Applications (1995)
Keywords: Quantum kinetic theory; Nonequilibrium correlations; Nonequilibrium density matrix; Dense quantum systems; Quantum Enskog equation; Virial corrections; Energy conserving collision integral;

Third derivative method for solving stiff system of ordinary differential equations,
Lawrence Osa Adoghe, Ezekiel Olaoluwa Omole and Sunday Emmanuel Fadugba, in International Journal of Mathematics in Operational Research (2022)
Keywords: first order system of equations; ordinary differential equations; hybrid third-derivative; block method; stiff problems; A-stability; zero-stability; convergences.

Riccati–Ermakov systems and explicit solutions for variable coefficient reaction–diffusion equations,
Enrique Pereira, Erwin Suazo and Jessica Trespalacios, in Applied Mathematics and Computation (2018)
Keywords: Similarity transformations; Variable coefficient Burgers equation; Variable coefficient Fisher–KPP equation; Riccati–Ermakov systems of ODEs; Exact solutions; Multiparameters;

A Computational Approach to Solve a System of Transcendental Equations with Multi-Functions and Multi-Variables,
Chukwuma Ogbonnaya, Chamil Abeykoon, Adel Nasser and Ali Turan, in Mathematics (2021)
Keywords: system of transcendental equation; computational solutions; code-based modelling approach; numerical analysis; Sine-Gordon equations; photovoltaics; thermophotovoltaics; solar energy

Probabilistic Counterparts of Nonlinear Parabolic Partial Differential Equation Systems,
Yana I. Belopolskaya, from Springer (2014)
Keywords: Parabolic Partial Differential Equation Systems, Backward Stochastic Differential Equations (BSDE), Solution Viscosity, Comparison Theorem, Scalar Cauchy Problem

Generalized Langevin equation for nonequilibrium systems,
M.G. McPhie, P.J. Daivis, I.K. Snook, J. Ennis and D.J. Evans, in Physica A: Statistical Mechanics and its Applications (2001)
Keywords: Langevin equation; Shear; Brownian motion;

New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations,
Hayman Thabet, Subhash Kendre and Dimplekumar Chalishajar, in Mathematics (2017)
Keywords: system of nonlinear fractional partial differential equations (NFPDEs); systems of nonlinear wave equations; new analytical technique (NAT); existence theorem; error analysis; approximate solution

On a Coupled System of Stochastic It o ^ -Differential and the Arbitrary (Fractional) Order Differential Equations with Nonlocal Random and Stochastic Integral Conditions,
A. M. A. El-Sayed and Hoda A. Fouad, in Mathematics (2021)
Keywords: stochastic processes; It ô -differential equations; random differential equations; stochastic differential equation; coupled system; fractional order derivative; nonlocal stochastic integral conditions

Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations,
F. Ahmad, F. Soleymani, F. Khaksar Haghani and S. Serra-Capizzano, in Applied Mathematics and Computation (2017)
Keywords: System of nonlinear equations; Divided difference operator; Fréchet; With memory; Discretization of differential equations;

Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system,
P.K. Sahu and S.Saha Ray, in Applied Mathematics and Computation (2015)
Keywords: Legendre wavelets; Integro-differential equations; System of nonlinear Volterra integral equations; Legendre wavelet method;

Fokker–Planck and non-linear hydrodynamic equations of an inelastic system of several Brownian particles in a non-equilibrium bath,
Joan-Emma Shea and Irwin Oppenheim, in Physica A: Statistical Mechanics and its Applications (1998)
Keywords: Brownian motion; Inelastic system; Two-phase flow; Fokker–Planck equation; Non-linear hydrodynamic equations;