Open Access

ARTICLE

A Local Adaptive Differential Quadrature Method for Multi-Dimensional Inverse Scattering Problem of Wave Propagation

Jiun-Yu Wu^1,2, Hui-Ching Wang¹, Ming-I Char¹, Bo-Chen Tai¹

1 Department of Applied Mathematics, National Chung Hsing University, Taichung 40227, Taiwan
2 Corresponding author, E-mail address: adherelinux@hotmail.com, hcwang@amath.nchu.edu.tw, michar@amath.nchu.edu.tw, starmoon1919@yahoo.com.tw.

Computers, Materials & Continua 2012, 28(3), 261-280. https://doi.org/10.3970/cmc.2012.028.261

Abstract

In this paper, we use the Local adaptive differential quadrature method (La-DQM) to solve multi-dimensional inverse scattering problem (ISP) of wave propagation. The La-DQM uses fictitious points to tackle the high-order differential equations with multi-boundary conditions and numerical results can be obtain directly in the calculation process. Six examples show the effectiveness and accuracy of the La-DQM in providing excellent estimates of unknown wave propagation from the given data. We think that the scheme is applicable to the ISP of wave propagation. Numerical results show that the La-DQM is powerful method for solving the inverse scattering problem of wave propagation.

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Keywords

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