Fourier Transform Solution of the Semi-linear Parabolic Equation

The semi-linear heat equation models many physical processes, which include time-dependent, irreversible processes such as that of conduction, chemical reactions and biological flow problems. We have considered the one dimensional semi-linear heat equation and a piecewise continuous integrable funct...

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Bibliographic Details
Published inJournal of applied sciences (Asian Network for Scientific Information) Vol. 5; no. 3; pp. 492 - 495
Main Authors Oghre, E.O., Olajuwon, B.I.
Format Journal Article
LanguageEnglish
Published 01.05.2005
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Summary:The semi-linear heat equation models many physical processes, which include time-dependent, irreversible processes such as that of conduction, chemical reactions and biological flow problems. We have considered the one dimensional semi-linear heat equation and a piecewise continuous integrable function f(x, t). Using a Fourier cosine transform and a backward inverse operation we determined the solution to the problem.
Bibliography:ObjectType-Article-2
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ISSN:1812-5654
DOI:10.3923/jas.2005.492.495