On solving initial value problems for partial differential equations in maple

Abstract

Objectives In this paper, we present and employ symbolic Maple software algorithm for solving initial value problems (IVPs) of partial differential equations (PDEs). From the literature, the proposed algorithm exhibited a great significant in solving partial differential equation arises in applied sciences and engineering. Results The implementation include computing partial differential operator (), Greens function () and exact solution () of the given IVP. We also present syntax, , to apply the partial differential operator to verify the solution of the given IVP obtained from . Sample computations are presented to illustrate the maple implementation.

On solving system of differential-algebraic equations using adomian decomposition method

“…There are many other algorithms or methods for solving DAEs and also for differential equations available in the literature. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] In this paper, we propose a general numerical method to solve the second-order system of DAEs using Adomian decomposition method (ADM). There are some general approaches methods available in the literature, 18,19,37,38 and these are developed for solving the first order DAEs.…”