A numerical solution to the Gel'Fand-Levitan-Marchenko equation

被引：10

作者：

Ahmad, F ^{[1
]}

Razzaghi, M

机构：

[1] USA, Waterways Expt Stn, Vicksburg, MS 39180 USA

[2] Mississippi State Univ, Dept Elect & Comp Engn, Mississippi State, MS 39762 USA

[3] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1998年 / 89卷 / 1-3期

关键词：

D O I：

10.1016/S0096-3003(97)81646-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a numerical method is developed to solve the inverse scattering problem associated with two Gel'fand-Levitan-Marchenko integral equations. This inverse problem is represented by two coupled partial differential equations. The solution of these partial differential equations is two kernel functions. These kernels are also related to each other through the Gel'fand-Levitan-Marchenko integral equations. Legendre-Gauss-Lobatto nodes are used to construct the N-th polynominal interpolation to approximate the solution of the kernel functions which are related to the scattering potential. An example is given to demonstrate the accuracy of the proposed method. (C) Elsevier Science Inc., 1998.

引用

页码：31 / 39

页数：9

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