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

K. Moaddy; I. Hashim; A. K. Alomari; S. Momani

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

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

Universiti Kebangsaan Malaysia
Jerash Private University
University of Jordan

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 language	English
Pages (from-to)	515-519
Number of pages	5
Journal	Sains Malaysiana
Volume	40
Issue number	5
State	Published - May 2011
Externally published	Yes

Keywords

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

Cite this

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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",

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AU - Moaddy, K.

AU - Hashim, I.

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 - https://www.scopus.com/pages/publications/79958011090

M3 - Article

AN - SCOPUS:79958011090

SN - 0126-6039

VL - 40

SP - 515

EP - 519

JO - Sains Malaysiana

JF - Sains Malaysiana

IS - 5

ER -

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

Abstract

Keywords

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