This analysis demonstrates a modified approach for solving nonlinear PDEs using the optimal auxiliary fractional method, indicating efficient results.
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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Nawaz et al. (2025) studied this question.
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