-pulse functions and orthonormal Taylor series

are presented. The operational matrices of integration, delay, dual and product are used to

reduce the solution of optimal control time delay system to the solution of algebraic equations...

This paper introduces Fourier operational matrices of differentiation and transmission for solving high-order linear differential and difference equations with constant coefficients. Moreover, we extend our methods for generalized Pantograph...

to the associated integro-differential equations with partial derivatives. Therefore, Bernoulli operational matrices of differentiation and integration together with the completeness of Bernoulli polynomials can be used for transforming integro...

This article contributes a matrix approach by using Taylor approximation to obtain the

numerical solution of one-dimensional time-dependent parabolic partial differential equations

(PDEs) subject to nonlocal ...

In this paper, an approximate approach based on Bernoulli operational matrices has been

presented to obtain the numerical solution of first-order matrix hyperbolic partial differential

equations under the given initial conditions...