In this paper, we suggest a matrix method to solve the Riccati differential equation in terms of Taylor polynomials. This method is based on first taking the truncated Taylor series of the function in equations and then ...

In this paper, a Taylor collocation method has been presented for numerically solving the high-order general linear Fredholm-Volterra integrodifferential-difference equations with variable coefficients under the mixed ...

There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order. In this paper we show that the Taylor matrix method is a very effective tool in numerically ...

In this study, Taylor collocation method is investigated for the approximate computation of high-order linear complex differential equations. Using the collocation points on any rectangular domain in the complex plane, the ...

An approximate method for solving higher-order linear complex differential equations in the elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix representation ...

This paper presents a numerical method for the approximate solution of mth-order linear difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials about any point. In addition, ...

A Taylor collocation method has been presented for numerically solving systems of high-order linear ordinary, differential equations with variable coefficients. Using the Taylor collocation points, this method transforms ...

The purpose of this study is to give a Taylor polynomial approximation for the solution of mth-order linear difference equations with variable coefficients under the mixed conditions about any point. For this purpose, the ...