Geodesic
A heat approximation
Applications of Mathematics, Tome 45 (2000) no. 1, pp. 41-68.

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The Fourier problem on planar domains with time variable boundary is considered using integral equations. A simple numerical method for the integral equation is described and the convergence of the method is proved. It is shown how to approximate the solution of the Fourier problem and how to estimate the error. A numerical example is given.
DOI : 10.1023/A:1022236700195
Classification : 31A25, 35K05, 45L05, 45P05, 65N99, 65R20
Keywords: heat equation; boundary value problem; integral equations; numerical solution; boundary element method 
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Dont, Miroslav. A heat approximation. Applications of Mathematics, Tome 45 (2000) no. 1, pp. 41-68. doi : 10.1023/A:1022236700195. http://geodesic.mathdoc.fr/articles/10.1023/A:1022236700195/

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