An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation

6Citations
Citations of this article
14Readers
Mendeley users who have this article in their library.

Abstract

This work studies an inverse problem of determining the first-order coefficient of degenerate parabolic equations using the measurement data specified at a fixed internal point. Being different from other ordinary parameter identification problems in parabolic equations, in our mathematical model there exists degeneracy on the lateral boundaries of the domain, which may cause the corresponding boundary conditions to go missing. By the contraction mapping principle, the uniqueness of the solution for the inverse problem is proved. A numerical algorithm on the basis of the predictorcorrector method is designed to obtain the numerical solution and some typical numerical experiments are also performed in the paper. The numerical results show that the proposed method is stable and the unknown function is recovered very well. The results obtained in the paper are interesting and useful, and can be extended to other more general inverse coefficient problems of degenerate PDEs. © 2011 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Deng, Z. C., & Yang, L. (2011). An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation. Journal of Computational and Applied Mathematics, 235(15), 4404–4417. https://doi.org/10.1016/j.cam.2011.04.006

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free