Numerical Solution of Coupled System of Nonlinear Partial Differential Equations Using Laplace-Adomian Decomposition Method

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 8

Abstract

Aim of the paper is to investigate applications of Laplace Adomian Decomposition Method (LADM) on nonlinear physical problems. Some coupled system of non-linear partial differential equations (NLPDEs) are considered and solved numerically using LADM. The results obtained by LADM are compared with those obtained by standard and modified Adomian Decomposition Methods. The behavior of the numerical solution is shown through graphs. It is observed that LADM is an effective method with high accuracy with less number of components.

Authors and Affiliations

Mohamed S M. Bahgat

Keywords

Related Articles

REGIONAL EXPONENTIAL REDUCED OBSERVABILITY IN DISTRIBUTED PARAMETER SYSTEMS

The regional exponential reduced observability concept in the presence for linear dynamical systems is addressed for a class of distributed parameter systems governed by strongly continuous semi group in Hilbert space. T...

The solutions Degenerate Elliptic-Parabolic Equations

We prove some a priori estimates of solutions for degenerate elliptic-parabolic equations.

On Completeness of Fuzzy Normed Spaces

 In this paper, a new direction has been presented between the subject of domain theory and fuzzy normed spaces to introduce the so called fuzzy domain normed spaces and proved some results related to this subject c...

PERIODIC SOLUTIONS OF A MODEL OF LOTKA-VOLTERRA WITH VARIABLE STRUCTURE AND IMPULSES

We consider a generalized version of the classical Lotka Volterra model with differential equations. The version has a variable structure (discontinuous right hand side) and the solutions are subjected to the discrete im...

Maximum likelihood Estimation for Stochastic Differential Equations with two Random Effects in the Diffusion Coefficient

We study n independent stochastic processes(xi (t),tiЄ[o,t1 ],i=1,......n) defined by a stochastic differential equation with diffusion coefficients depending nonlinearly on a random variables  and  ...

Download PDF file
  • EP ID EP651728
  • DOI 10.24297/jam.v12i8.5075
  • Views 144
  • Downloads 0

How To Cite

Mohamed S M. Bahgat (2016). Numerical Solution of Coupled System of Nonlinear Partial Differential Equations Using Laplace-Adomian Decomposition Method. JOURNAL OF ADVANCES IN MATHEMATICS, 12(8), 6530-6544. https://europub.co.uk/articles/-A-651728