A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations

K. Moaddy, Ishak Hashim, A. K. Alomari, S. Momani

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or non-locally linearize the nonlinear term of the differential equation. Two examples are given to demonstrate the efficiency of this scheme.

Original languageEnglish
Pages (from-to)515-519
Number of pages5
JournalSains Malaysiana
Volume40
Issue number5
Publication statusPublished - May 2011

Fingerprint

nonlinear equations
differential equations
decomposition

Keywords

  • Adomian decomposition method
  • Logistic equation
  • Lotka-volterra system
  • Non-standard schemes

ASJC Scopus subject areas

  • General

Cite this

A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations. / Moaddy, K.; Hashim, Ishak; Alomari, A. K.; Momani, S.

In: Sains Malaysiana, Vol. 40, No. 5, 05.2011, p. 515-519.

Research output: Contribution to journalArticle

Moaddy, K. ; Hashim, Ishak ; Alomari, A. K. ; Momani, S. / A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations. In: Sains Malaysiana. 2011 ; Vol. 40, No. 5. pp. 515-519.
@article{b04042186a534a539434959b023d161b,
title = "A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations",
abstract = "This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or non-locally linearize the nonlinear term of the differential equation. Two examples are given to demonstrate the efficiency of this scheme.",
keywords = "Adomian decomposition method, Logistic equation, Lotka-volterra system, Non-standard schemes",
author = "K. Moaddy and Ishak Hashim and Alomari, {A. K.} and S. Momani",
year = "2011",
month = "5",
language = "English",
volume = "40",
pages = "515--519",
journal = "Sains Malaysiana",
issn = "0126-6039",
publisher = "Penerbit Universiti Kebangsaan Malaysia",
number = "5",

}

TY - JOUR

T1 - A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations

AU - Moaddy, K.

AU - Hashim, Ishak

AU - Alomari, A. K.

AU - Momani, S.

PY - 2011/5

Y1 - 2011/5

N2 - This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or non-locally linearize the nonlinear term of the differential equation. Two examples are given to demonstrate the efficiency of this scheme.

AB - This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or non-locally linearize the nonlinear term of the differential equation. Two examples are given to demonstrate the efficiency of this scheme.

KW - Adomian decomposition method

KW - Logistic equation

KW - Lotka-volterra system

KW - Non-standard schemes

UR - http://www.scopus.com/inward/record.url?scp=79958011090&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958011090&partnerID=8YFLogxK

M3 - Article

VL - 40

SP - 515

EP - 519

JO - Sains Malaysiana

JF - Sains Malaysiana

SN - 0126-6039

IS - 5

ER -