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

محورهای موضوعی : فصلنامه ریاضی

H. Adibi ¹ , A. Taherian ²

1 -
2 -

تاریخ دریافت : 1395/01/26 تاریخ پذیرش : 1395/01/26 تاریخ انتشار : 1395/07/01

کلید واژه: Taylor series, Nonlinear Fredholm integro-differential-difference equations,

چکیده مقاله :

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