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2014•Journal of Jilin University(Science Edition)Requires access

Numerical Solution of Nonlinear Fractional-Order Volterra Integro-Differential Equation by Legendre Wavelets

Huang Ji

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Abstract

Nonlinear fractional-order Volterra integro-differential equation was transformed into a system of algebraic equations by Legendre wavelet operational matrix of fractional integration.Numerical solution of original equation was obtained through solving algebraic equations and error bound value was estimated.Finally some examples demonstrate the validity and precision of this method.

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What this paper is about

Nonlinear fractional-order Volterra integro-differential equation was transformed into a system of algebraic equations by Legendre wavelet operational matrix of fractional integration.Numerical solution of original equation was obtained through solving algebraic equations and error bound value was estimated.Finally some examples demonstrate the validity and precision of this method.

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Available abstract

Nonlinear fractional-order Volterra integro-differential equation was transformed into a system of algebraic equations by Legendre wavelet operational matrix of fractional integration.Numerical solution of original equation was obtained through solving algebraic equations and error bound value was estimated.Finally some examples demonstrate the validity and precision of this method.

Key concepts: Legendre wavelet, Mathematics, Legendre polynomials, Algebraic equation, Legendre's equation, Associated Legendre polynomials, Mathematical analysis, Nonlinear system

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