Abdolamir Karbalaie, Mohammad Mehdi Montazeri, Maryam Shabani, Bjorn-Erik Erlandsson, "Application of Homo-Separation of Variables Method on Nonlinear System of PDEs," WSEAS Transactions on Mathematics, vol. 13, pp. 992-1000, 2014, DOI:
Abdolamir Karbalaie, Mohammad Mehdi Montazeri, Maryam Shabani, Bjorn-Erik Erlandsson. Application of Homo-Separation of Variables Method on Nonlinear System of PDEs.
WSEAS Transactions on Mathematics. 2014;13:992-1000.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Application of Homo-Separation of Variables Method on Nonlinear System of PDEs
Authors: , , ,
Abstract: In this study, the Homo-Separation of Variables method is introduced to find the exact solution of some coupled nonlinear partial differential equations. This analytical method is a new combination of two powerful and popular methods; namely the homotopy perturbation method (HPM) and the separation of variables method. The exact solution is constructed by choosing an appropriate initial approximation in addition to retaining only the first term of the series obtained by HPM. The proposed method is capable of reducing the computational load considerably when compared to other classical method.
Keywords:
Homo-separation of variables, Homotopy perturbation, Separation of variables, coupled Burgers’ equations
Pages: 992-1000 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #97 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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