On the approximate solution of integro-differential equations arising in oscillating magnetic fields

被引：0

作者：

K. Maleknejad

M. Hadizadeh

M. Attary

机构：

[1] Islamic Azad University,Department of Mathematics, Karaj Branch

[2] K. N. Toosi University of Technology,Department of Mathematics

来源：

Applications of Mathematics | 2013年 / 58卷

关键词：

charged particle motion; oscillating magnetic field; integro-differential equation; Shannon wavelet; numerical treatment; 34B05; 34K28; 78A35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work, we propose the Shannon wavelets approximation for the numerical solution of a class of integro-differential equations which describe the charged particle motion for certain configurations of oscillating magnetic fields. We show that using the Galerkin method and the connection coefficients of the Shannon wavelets, the problem is transformed to an infinite algebraic system, which can be solved by fixing a finite scale of approximation. The error analysis of the method is also investigated. Finally, some numerical experiments are reported to illustrate the accuracy and applicability of the method.

引用

页码：595 / 607

页数：12

共 20 条

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