A numerical technique based on operational matrices for solving nonlinear integro-differential equations | ||
| Iranian Journal of Numerical Analysis and Optimization | ||
| مقاله 3، دوره 4، شماره 1 - شماره پیاپی 5، 2014، صفحه 41-56 اصل مقاله (151.24 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22067/ijnao.v4i1.34848 | ||
| نویسنده | ||
| A. Golbabai* | ||
| چکیده | ||
| This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations. Our tools for this aims is operational matrices of integration and fractional integration. By this method the given problems reduce to solve a system of algebraic equations. Illustrative examples are included to demonstrate the efficiency and high accuracy of the method. | ||
| کلیدواژهها | ||
| Operational matrix of integration؛ Volterra-Fredholm؛ Nonlinear system of integro-differential equations؛ Fractional order؛ Legendre wavelet | ||
| مراجع | ||
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