Chebyshev cardinal functions for solving volterra-fredholm integrodifferential equations using operational matrices

	Chebyshev cardinal functions for solving volterra-fredholm integrodifferential equations using operational matrices
Iranian Journal of Science
مقاله 3، دوره 36، شماره 1، اردیبهشت 2012، صفحه 13-24 اصل مقاله (156.71 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2012.2050
نویسندگان
H. Heydari؛ Z. Avazzadeh؛ G. B. Loghmani^*
Department of Mathematics, Yazd University, Yazd, Iran
چکیده
In this paper, an effective direct method to determine the numerical solution of linear and nonlinear Fredholm and Volterra integral and integro-differential equations is proposed. The method is based on expanding the required approximate solution as the elements of Chebyshev cardinal functions. The operational matrices for the integration and product of the Chebyshev cardinal functions are described in detail. These matrices play the important role of reducing an integral equation to a system of algebraic equations. Illustrative examples are shown, which confirms the validity and applicability of the presented technique.
کلیدواژه‌ها
Integro-differential equation؛ mixed Volterra-Fredholm integral equations؛ chebyshev cardinal functions؛ operational matrix of integration

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