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Recovering a time‐dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method
Author(s) -
Shamsi M.,
Dehghan Mehdi
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20174
Subject(s) - legendre polynomials , mathematics , pseudospectral optimal control , chebyshev pseudospectral method , partial differential equation , gauss pseudospectral method , mathematical analysis , boundary value problem , partial derivative , function (biology) , pseudo spectral method , parabolic partial differential equation , fourier transform , fourier analysis , classical orthogonal polynomials , chebyshev equation , evolutionary biology , orthogonal polynomials , biology
The aim of this article is to discuss the problem of finding the unknown function u ( x , t ) and the time‐dependent coefficient a ( t ) in a parabolic partial differential equation. The pseudospectral Legendre method is employed to solve this problem. The results of numerical experiments are given. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007