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 …

The current paper contributes a new numerical algorithm for solving a class of second-order
matrix differential equations. To do so, the operational matrix of integration based on the …

In the present paper, we present a simple and effective method to produce solutions to the
coupled matrix linear differential equations based on the Hadamard product of matrices. The …

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, it is an operational matrix method associating Chebyshev polynomials to solve
linear Fredholm-Volterra integro-differential (FVDE) equations. Using Chebyshev finite …

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 paper, the improved Chebyshev operational matrix method is proposed to solve a
class of nonlinear Volterra integro-differential equation. The main characteristic behind this …

Numerical solution of mixed linear integro-differential-difference equation is presented using
Chebyshev collocation method. The aim of this article is to present an efficient numerical …

In this paper, we introduce a Hermite operational matrix collocation method for solving
higher-order linear complex differential equations in rectangular or elliptic domains. We …

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 …