The construction of solutions to the heat equation backward in time

1 January 1979

journal article
research article
Published by Wiley in Mathematical Methods in the Applied Sciences

Vol. 1 (1) , 32-39
https://doi.org/10.1002/mma.1670010104

Abstract

Solutions to the backwards heat equation are approximated by solutions of a pseudo‐heat equation. Solutions to this modified equation are constructed by means of a fundamental solution and potential theory, and it is shown that the fundamental solution can be approximated by various expansions in special functions.

Keywords

This publication has 5 references indexed in Scilit:

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