Lucas Collocation Method for the Solution of Differential Difference Equations

Radial Basis Collocation Method for the Solution of Differential-difference Equations

In this paper, the aim is to solve the differential-difference equations using a radial basis collocation method. We present the advantages and improvement of using the proposed method for solving differential-difference equations. Some experiments are also employed to illustrate the validity and flexibility of the proposed method even where the data points are scattered. 2010 mathematics subje...

NON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

In this article we have considered a non-standard finite difference method for the solution of second order  Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical met...

A new collocation method for solution of mixed linear integro-differential-difference equations

The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-difference equations. Our method depends mainly on a Taylor expansion approach. This method transforms mixed linear integro-differentialdifference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability a...

Discrete Collocation Method for Solving Fredholm Volterra Intergro-Differential Equations

Approximate solution of system of nonlinear Volterra integro-differential equations by using Bernstein collocation method

This paper presents a numerical matrix method based on Bernstein polynomials (BPs) for approximate the solution of a system of m-th order nonlinear Volterra integro-differential equations under initial conditions. The approach is based on operational matrices of BPs. Using the collocation points,this approach reduces the systems of Volterra integro-differential equations associated with the giv...