## Abstract In this paper we consider the inverse problems of identifying some spaceβdependent unknown coefficients in parabolic equations subject to initial boundary value conditions along with an overspecified condition at the final time __t__ = __T__. We use the overspecified information to tran
An iterative procedure for determining an unknown spacewise-dependent coefficient in a parabolic equation
β Scribed by Afet Golayoglu Fatullayev; Serpil Cula
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 485 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
An inverse problem for the determination of an unknown spacewise-dependent coefficient in a parabolic equation is considered. The problem is reformulated as a nonclassical parabolic equation along with the initial and boundary conditions. The iterative fixed point projection method is applied to solve the reformulated problem. The comparison analysis of proposed method with a least square method and some numerical examples are presented.
π SIMILAR VOLUMES
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 operatio