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The construction of solutions to the heat equation backward in time
Author(s) -
Colton D.,
Wimp J.,
Meister E.
Publication year - 1979
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670010104
Subject(s) - mathematics , heat equation , mathematical analysis , partial differential equation
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.