NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH

Subject Areas : International Journal of Mathematical Modelling & Computations

H. Adibi ¹ , A. Taherian ²

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Received: 2016-04-14 Accepted : 2016-04-14 Published : 2016-09-22

Keywords: Taylor series, Nonlinear Fredholm integro-differential-difference equations,

Abstract :

In this study, a Taylor method is developed for numerically solving the high-order most general nonlinear Fredholm integro-differential-difference equations in terms of Taylor expansions. The method is based on transferring the equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with the unknown Taylor coefficients. Also, we test the method by numerical examples