Abstract | ||
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The problem of identifying the solution kx, t,Ux, t in an inverse semilinear wave problem is considered. It is shown that under certain conditions of data φ, ψ, there exists a unique solution kx, t,Ux, t of this problem. Furthermore a numerical algorithm for solving the inverse semilinear wave problem is proposed. The approach for this inverse problem is given by using the semi-discretisation method. A polynomial function is proposed to approximate Ux, t then the finite difference method is applied to approximate unknown kx, t. Numerical results show efficiency of our method. |
Year | DOI | Venue |
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2014 | 10.1504/IJCSM.2014.059378 | IJCSM |
Keywords | Field | DocType |
inverse semilinear wave problem, existence, finite difference method, stability, uniqueness, polynomial function | Inverse,Uniqueness,Existential quantification,Polynomial,Mathematical analysis,Algorithm,Finite difference method,Inverse problem,Inverse scattering problem,Mathematics | Journal |
Volume | Issue | ISSN |
5 | 1 | 1752-5055 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Reza Pourgholi | 1 | 30 | 10.70 |
Amin Esfahani | 2 | 0 | 2.70 |
Sunil Kumar | 3 | 86 | 10.07 |