Approximate analytical solutions for mathematical model of tumour invasion and metastasis using modified Adomian decomposition and homotopy perturbation methods
type: Item
instance of: scholarly article
title: Approximate analytical solutions for mathematical model of tumour invasion and metastasis using modified Adomian decomposition and homotopy perturbation methods
zbMATH Open document ID: 1406.35435
DOI: 10.1155/2014/654978
author: Norhasimah Mahiddin
author: S. A. Hashim Ali
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis. The study highlights the significant features of the employed methods and their ability to handle nonlinear partial differential equations. The methods do not need linearization and weak nonlinearity assumptions. Although the main difference between MDM and Adomian decomposition method (ADM) is a slight variation in the definition of the initial condition, modification eliminates massive computation work. The approximate analytical solution obtained by MDM logically contains the solution obtained by HPM. It shows that HPM does not involve the Adomian polynomials when dealing with nonlinear problems.
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 92C37
zbMATH DE Number: 7010710
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/654978
OpenAlex ID: W1975143340
Wikidata QID: Q59053956
DBLP publication ID: journals/jam/MahiddinA14
description: scientific article; zbMATH DE number 7010710