Numerical technique for integro-differential equations arising in oscillating magnetic fields

	Numerical technique for integro-differential equations arising in oscillating magnetic fields
Iranian Journal of Science
مقاله 10، دوره 38، شماره 4، اسفند 2014، صفحه 473-479 اصل مقاله (426.04 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2564
نویسنده
M. Ghasemi^*
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran
چکیده
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.
کلیدواژه‌ها
Integro-differential equation؛ Chebyshev wavelet؛ charged particle motion؛ oscillating magnetic field

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