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Numerical method for a system of integro-differential equations and convergence analysis by Taylor collocation

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Abstract In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond… Click to show full abstract

Abstract In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic equations. Some numerical results are also given to illustrate the efficiency of the method.

Keywords: numerical method; system; integro differential; method system; method; taylor

Journal Title: Ain Shams Engineering Journal
Year Published: 2018

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