Application of weighted homotopy analysis method to solve an inverse source problem for wave equation. (English) Zbl 1471.65125

Summary: In this paper, inverse source problem for the wave equation is considered in one dimension with overdetermination condition. To solve this problem, a version of homotopy analysis method, called weighted homotopy analysis method, is introduced and applied. To show accuracy and reliability of the mentioned method, three numerical examples are given.


65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
35R30 Inverse problems for PDEs
35L20 Initial-boundary value problems for second-order hyperbolic equations
35L05 Wave equation
35C10 Series solutions to PDEs


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