In this paper, a new matrix approach for solving second order linear partial differential equations (PDEs) under given initial conditions has been proposed. The basic idea includes integrating from the considered PDEs and ...

Abstract

In this paper a new matrix approach for solving linear hyperbolic partial differential equations (HPDEs) is presented. The method is based on the Bernoulli expansion of two-variable functions, which consists ...

truncated double Bernoulli series which are defined in the interval [0, 1]. Also, convergence

analysis associated to the presented idea is provided under several mild conditions. Several

numerical examples are considered to show the efficiency...