Recovering a time‐dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method | Zendy

Shamsi M. | Zendy; Dehghan Mehdi | Zendy

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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

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