Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods
Joint Authors
Mahiddin, Norhasimah
Hashim Ali, S. A.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mahiddin, Norhasimah& Hashim Ali, S. A.. 2014. Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-488683
Modern Language Association (MLA)
Mahiddin, Norhasimah& Hashim Ali, S. A.. Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-488683
American Medical Association (AMA)
Mahiddin, Norhasimah& Hashim Ali, S. A.. Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-488683
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488683