Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 235, Issue 3, Pages 669-678Publisher
ELSEVIER
DOI: 10.1016/j.cam.2010.06.020
Keywords
Chebyshev cardinal functions; Operational matrix of derivative; Parameter determination problem; Parabolic inverse problem; Unknown diffusion coefficient
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A numerical technique is presented for the solution of a parabolic partial differential equation with a time-dependent coefficient subject to an extra measurement. The method is derived by expanding the required approximate solution as the elements of Chebyshev cardinal functions. Using the operational matrix of derivative, the problem can be reduced to a set of algebraic equations. From the computational point of view, the solution obtained by this method is in excellent agreement with those obtained by previous works and also it is efficient to use. (C) 2010 Elsevier B.V. All rights reserved.
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