Method for Solving Initial Value Problems of Linear Fractional Volterra Integro-differential Equations

Author:

Taparki Richard1,Shikaa Samuel1,Samson Linus Manu1

Affiliation:

1. Taraba State University

Abstract

Abstract In this paper, a numerical approach is developed for solving initial value problem of linear fractional Volterra integro-differential equations. The approximate solution is substituted into the model equation and then collocated using shifted Chebyshev polynomial and Standard collocation points to obtain a system of linear algebraic equations, which is then solved by Newton-Rapson's method. Several numerical examples were solved to demonstrate the accuracy, reliability and efficiency of the method.

Publisher

Research Square Platform LLC

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