Application of He's Homotopy Perturbation Method for Cauchy Problem of Ill-Posed Nonlinear Diffusion Equation
Joint Authors
Aminataei, Azim
Zakeri, Ali
Jannati, Qodsiyeh
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider a Cauchy problem of unidimensional nonlinear diffusion equation on finite interval.
This problem is ill-posed and its approximate solution is unstable.
We apply the He's homotopy perturbation method (HPM) and obtain the third-order asymptotic expansion.
We show that if the conductivity term in diffusion equation has a specified condition, the above solution can be estimated.
Finally, a numerical experiment is provided to illustrate the method.
American Psychological Association (APA)
Zakeri, Ali& Aminataei, Azim& Jannati, Qodsiyeh. 2010. Application of He's Homotopy Perturbation Method for Cauchy Problem of Ill-Posed Nonlinear Diffusion Equation. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-497395
Modern Language Association (MLA)
Zakeri, Ali…[et al.]. Application of He's Homotopy Perturbation Method for Cauchy Problem of Ill-Posed Nonlinear Diffusion Equation. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-497395
American Medical Association (AMA)
Zakeri, Ali& Aminataei, Azim& Jannati, Qodsiyeh. Application of He's Homotopy Perturbation Method for Cauchy Problem of Ill-Posed Nonlinear Diffusion Equation. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-497395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497395