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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.
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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