Boundary integral solutions of the heat equation
Author:
E. A. McIntyre
Journal:
Math. Comp. 46 (1986), 7179, S1
MSC:
Primary 65N99; Secondary 45L10, 65M99, 65R20
MathSciNet review:
815832
Fulltext PDF Free Access
Abstract 
References 
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Additional Information
Abstract: The Boundary Integral Method (BIM) has recently become quite popular because of its ability to provide cheap numerical solutions to the Laplace equation. This paper describes an attempt to apply a similar approach to the (timedependent) heat equation in two space variables.
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 B. Noble, "Instability when solving Volterra integral equations of the second kind by multistep methods," in Conference on the Numerical Solutions of Differential Equations, Lecture Notes in Math., no. 109, SpringerVerlag, Berlin, 1969, pp. 2339. MR 0273859 (42:8735)
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 D. Shippy, "Application of the boundaryintegral equation method to transient phenomena in solids," in [4].
 [16]
 N. Schryer, A Tutorial on Galerkin's Method, using BSplines, for Solving Differential Equations, Bell System Technical Memorandum 7712741.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198608158326
PII:
S 00255718(1986)08158326
Keywords:
Boundary integrals,
heat equation,
fundamental solutions,
thermal potentials,
Volterra integral equations,
Galerkin's method,
Bsplines,
quadrature methods
Article copyright:
© Copyright 1986
American Mathematical Society
