Springer Iranian Journal of Science 2731-8095 38 4 2014 12 22 Numerical technique for integro-differential equations arising in oscillating magnetic fields 473 479 2564 10.22099/ijsts.2014.2564 EN M. Ghasemi Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran Journal Article 2013 07 26 In this paper, we propose the Chebyshev wavelet approximation for the numerical solution of a class of integro-differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields. We show that the Chebyshev approximation transform an integral equation to an explicit system of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new technique.

https://ijsts.shirazu.ac.ir/article_2564_460fcd2e3895b13df5b4ce1025525b93.pdf