Title
A numerical algorithm for solving an inverse semilinear wave problem
Abstract
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
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 Pourgholi13010.70
Amin Esfahani202.70
Sunil Kumar38610.07