Application of Homo-separation of variables method on nonlinearsystem of PDEs
2014 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, E-ISSN 2224-2880, Vol. 13, 992-1000 p.Article in journal (Refereed) Published
In this study, the Homo-Separation of Variables method is introduced to find the exact solution of somecoupled nonlinear partial differential equations. This analytical method is a new combination of two powerfuland 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 onlythe first term of the series obtained by HPM. The proposed method is capable of reducing the computational loadconsiderably when compared to other classical method.
Place, publisher, year, edition, pages
World Scientific and Engineering Academy and Society, 2014. Vol. 13, 992-1000 p.
Homo-separation of variables, Homotopy perturbation, Separation of variables, coupled Burgers’ equations
Engineering and Technology
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-166859ScopusID: 2-s2.0-84927557680OAI: oai:DiVA.org:kth-166859DiVA: diva2:812786
QC 201505202015-05-202015-05-202015-12-08Bibliographically approved