A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term
type: Item
instance of: scholarly article
title: A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term
zbMATH Open document ID: 0855.65129
DOI: 10.1016/0377-0427(95)00038-0
author: Lieven Matthys
author: G. De Mey
author: Hendrik L. Lambert
published in: Journal of Computational and Applied Mathematics
publication date: 1996-10-13T00:00:00Z
review text: Particular solutions of a system of linear partial differential equations (PDEs) are computed in a recursive way. The technique is an extension of the method of \textit{H. L. Janssen} and \textit{H. L. Lambert} [J. Comput. Appl. Math. 39, No. 2, 227-242 (1992; Zbl 0749.65075)] who have given their results for a single PDE. In the present paper the method is modified to ensure the explicit recursivity of the formula. Then the extension for a system of PDEs is presented.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35E20
zbMATH DE Number: 908419
zbMATH Keywords: polynomial approximation
zbMATH Keywords: particular solution
zbMATH Keywords: recursion
zbMATH Keywords: system
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00038-0
OpenAlex ID: W1994356087
cites work: Q3273027
cites work: Q3049781
cites work: Recursive construction of a sequence of solutions to homogeneous linear partial differential equations with constant coefficients
cites work: Recursive construction of particular solutions to nonhomogeneous linear partial differential equations of elliptic type
cites work: Q4004211
description: scientific article; zbMATH DE number 908419