In this study, the Legendre operational matrix method based on collocation point is
introduced to solve high order ordinary differential equations with some nonlinear terms …

In this study, a matrix method based on Legendre collocation points on interval [-1, 1] is
proposed for the approximate solution of the some first order nonlinear ordinary differential …

In this paper, a matrix method based on Legendre collocation points on interval [-1, 1] is
proposed for the approximate solution of some second order nonlinear ordinary differential …

In this study, a Legendre collocation matrix method is presented to solve high-order Linear
Fredholm integro-differential equations under the mixed conditions in terms of Legendre …

In life important applications are modeled mathematically by nonlinear partial differential
equations. Primarily, the objective is to transform such equations into a system of algebraic …

A numerical method for solving the high‐order linear differential equations with variable
coefficients under the mixed conditions is presented. The method is based on the hybrid …

Nonlinear differential equations have many applications in different science and
engineering disciplines. However, a nonlinear differential equation cannot be solved …

In this study, a novel matrix method based on collocation points is proposed to solve some
linear and nonlinear integrodifferential equations with variable coefficients under the mixed …

The main contribution of the current paper is to propose a new effective numerical method
for solving the first-order linear matrix differential equations. Properties of the Legendre …

In this paper, we applied method based on Legendre polynomial collocation method to
obtain numerical solutions to linear differential difference equations with mixed conditions …