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Legendre multiscaling functions for solving the one-dimensional parabolic inverse problem

✍ Scribed by S.A. Yousefi; Mehdi Dehghan

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
159 KB
Volume
25
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

An inverse problem concerning diffusion equation with a source control parameter is investigated. The approximation of the problem is based on the Legendre multiscaling basis. The properties of Legendre multiscaling functions are first presented. These properties together with Galerkin method are then utilized to reduce the inverse problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new technique. Β© 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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