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Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method
Joint Authors
Buzhabadi, Reza
Saberi Nik, Hassan
Effati, Sohrab
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The homotopy analysis method (HAM) is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative.
These nonlinear coupled equations with parameters derivative contain many important mathematical physics equations and reaction diffusion equations.
By choosing different values of the parameters in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained.
The efficiency and accuracy of the method are verified by using two famous examples: coupled Burgers and mKdV equations.
The obtained results show that the homotopy perturbation method is a special case of homotopy analysis method.
American Psychological Association (APA)
Effati, Sohrab& Saberi Nik, Hassan& Buzhabadi, Reza. 2011. Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-480303
Modern Language Association (MLA)
Effati, Sohrab…[et al.]. Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method. International Journal of Differential Equations No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-480303
American Medical Association (AMA)
Effati, Sohrab& Saberi Nik, Hassan& Buzhabadi, Reza. Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-480303
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480303