The annihilator method for computing particular solutions to partial differential equations
type: Item
instance of: scholarly article
title: The annihilator method for computing particular solutions to partial differential equations
zbMATH Open document ID: 0945.65131
DOI: 10.1016/S0955-7997(98)00081-2
author: Youssef F. Rashed
author: M. A. Golberg
author: C. S. Chen
published in: Engineering Analysis with Boundary Elements
publication date: 2000-09-24T00:00:00Z
review text: The well-known annihilator method for finding particular solutions of ordinary differential equations is generalized to solve partial differential equations of Helmholtz-type when the right hand side is a linear combination of thin plate and higher order splines. These particular solutions are useful in numerical algorithms for solving boundary value problems for a variety of elliptic and parabolic equations.
reviewed by: Yunkang Liu
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1389955
zbMATH Keywords: annihilator method
zbMATH Keywords: particular solution
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: thin plate spline
MaRDI profile type: Publication
cites work: Q4004211
cites work: The Numerical Evaluation of Particular Solutions for Poisson's Equation
cites work: Q3328899
cites work: Q4090665
cites work: Some comments on the use of radial basis functions in the dual reciprocity method
full work available at URL: s0955-7997(98)00081-2
OpenAlex ID: W1990553593
description: scientific article; zbMATH DE number 1389955