Author(s)

C.S. Chen, A.S. Muleshkov & M.A. Golberg

Abstract

An analytic particular solution for Poisson's equation in 2D has been con- structed for polynomial forcing terms. When the forcing terms contain non-polynomials, Taylor series expansion is used to approximate the forc- ing terms. A symbolic computational algorithm using Mathematica has been implemented. No matrix inversion is required in evaluating particular solutions. The numerical results are highly accurate and efficient. 1 Introduction The traditional method for evaluating a particular solution of Poisson's equation is to construct the associated Newton potential through domain integration [1]. However, singularities in the integrand and irregular shapes of the boundary make it diff

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