a numerical technique based on operational matrices for solving nonlinear integro-differential equations

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abstract

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.

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Journal title:
iranian journal of numerical analysis and optimization

جلد ۴، شماره ۱، صفحات ۴۱-۰

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