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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
MathSciNet review: 815832
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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

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