Open AccessAn Efficient Algorithm for Some Highly Nonlinear Fractional PDEs in Mathematical Physics
Author(s) -
Jamshad Ahmad,
Syed Tauseef MohyudDin
Publication year - 2014
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0109127
Subject(s) - nonlinear system , partial differential equation , fractional calculus , mathematics , transformation (genetics) , inverse , algorithm , mathematical analysis , physics , chemistry , biochemistry , geometry , quantum mechanics , gene
In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and nonlinear time-fractional PDEs. The results so obtained are re-stated by making use of inverse transformation which yields it in terms of original variables. It is observed that the proposed algorithm is highly efficient and appropriate for fractional PDEs and hence can be extended to other complex problems of diversified nonlinear nature.