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

PDF
  • H. Adibi1,
  • A. Taherian1,

Revised: 14-04-2016

Accepted: 14-04-2016

Published in Issue 22-09-2016

How to Cite

Adibi, H., & Taherian, A. (2016). NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH. International Journal of Mathematical Modelling & Computations, 2(4), 283-298. http://oiccpress.com/ijm2c/article/view/11166

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
PDF