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Analytic representation of Green’s function for a finite-difference Laplace equation. (English. Russian original) Zbl 0703.39004
U.S.S.R. Comput. Math. Math. Phys. 28, No. 4, 197-198 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 8, 1258-1260 (1988).
Summary: A representation for Green’s function of a finite-difference Laplace equation on a two-dimensional lattice is obtained in the form of a series of rational functions of the coordinates of the mesh nodes.
MSC:
39A70 Difference operators
65N06 Finite difference methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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