Boundary integral solutions of the heat equation

Author:
E. A. McIntyre

Journal:
Math. Comp. **46** (1986), 71-79, S1

MSC:
Primary 65N99; Secondary 45L10, 65M99, 65R20

DOI:
https://doi.org/10.1090/S0025-5718-1986-0815832-6

MathSciNet review:
815832

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Abstract | References | Similar Articles | 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 (time-dependent) heat equation in two space variables.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1986-0815832-6

Keywords:
Boundary integrals,
heat equation,
fundamental solutions,
thermal potentials,
Volterra integral equations,
Galerkin's method,
*B*-splines,
quadrature methods

Article copyright:
© Copyright 1986
American Mathematical Society