Geodesic
Transfer of boundary conditions for Poisson's equation on a circle
Applications of Mathematics, Tome 39 (1994) no. 1, pp. 15-23
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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.
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.
DOI : 10.21136/AM.1994.134240
Classification : 34B05, 35J05, 65L10, 65N35
Keywords: numerical analysis; transfer of conditions; invariant imbedding; Dirichlet problem for Poisson’s equation 
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Taufer, Jiří; Vitásek, Emil. Transfer of boundary conditions for Poisson's equation on a circle. Applications of Mathematics, Tome 39 (1994) no. 1, pp. 15-23. doi: 10.21136/AM.1994.134240

[1] G. H. Meyer: Initial value methods for boundary value problems—Theory and applications of invariant imbedding. Academic Press, New York, 1973. | MR

[2] J. Taufer: Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen. Rozpravy ČSAV 5, 83 (1973). | Zbl

[3] P. Přikryl, J. Taufer, E. Vitásek: Transfer of conditions for singular boundary value problems. Apl. mat. 34 (1989), 246–258. | MR

[4] I. M. Ryzhyk, I. S. Gradshtein: Tables of integrals, sums, series and products. GITTL, Moscow, 1951. (Russian)

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