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Taufer, Jiří ; Vitásek, Emil
Transfer of boundary conditions for Poisson's equation on a circle. (English). Applications of Mathematics, vol. 39 (1994), issue 1, pp. 15-23
MSC: 34B05, 35J05, 65L10, 65N35 | MR 1254744 | Zbl 0797.65087 | DOI: 10.21136/AM.1994.134240
Keywords:
numerical analysis; transfer of conditions; invariant imbedding; Dirichlet problem for Poisson’s equation
Summary:
The method of transfer of boundary conditions yields a universal frame into which most methods for solving boundary value problems for ordinary differential equations can be included. The purpose of this paper is to show a possibility to extend the idea of transfer of conditions to a particular twodimensional problem.
References:
[1] G. H. Meyer: Initial value methods for boundary value problems—Theory and applications of invariant imbedding. Academic Press, New York, 1973. MR 0488791
[2] J. Taufer: Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen. Rozpravy ČSAV 5, 83 (1973). Zbl 0276.34009
[3] P. Přikryl, J. Taufer, E. Vitásek: Transfer of conditions for singular boundary value problems. Apl. mat. 34 (1989), 246–258. MR 0996899
[4] I. M. Ryzhyk, I. S. Gradshtein: Tables of integrals, sums, series and products. GITTL, Moscow, 1951. (Russian)
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