Modification of Optimal Auxiliary Fractional Method to Harry Dym equation

Muhammad Nawaz; Mehreen Fiza; Aasim Ullah Jan; Syed Muhammad Ghufran; Hakeem Ullah

doi:10.5269/bspm.76099

Muhammad Nawaz Abdul Wali Khan University Mardan
Mehreen Fiza Abdul Wali Khan University Mardan
Aasim Ullah Jan Bacha Khan University Charsadda
Syed Muhammad Ghufran Abdul Wali Khan University Mardan
Hakeem Ullah Abdul Wali Khan University

Resumo

In this paper, we modify and utalised the Optimal Axillary Function Method (OAFM) for nonlinear Partial Differential Equations (PDEs). The general formulation is modified for the general PDEs and tested numerically on nonlinear time-fractional Harry Dym equations. The OAFM yields a rapidly convergent series solution, which is then validated by comparison with other results. From the comparison of solution, it is concluded that OAFM is operative, simple and unambiguous. The study shows that Optimal Auxiliary Fractional method is applicable in easy way, holds very short computational work and quickly converges to the exact solution of the problem.

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