Numerical simulation for fractional Jaulent-Miodek equation associated with energy-dependent Schrodinger potential using two novel techniques
For researchers in fractional differential equations, this work provides a comparative analysis of two methods on a specific equation, but the contribution is incremental.
This paper applies two numerical methods (CFRDTM and q-HATM) to solve the time-fractional Jaulent-Miodek equations, finding that q-HATM is more accurate and computationally efficient based on absolute error comparisons.
In present work, we investigate the numerical solution of time-fractional Jaulent Miodek (JM) equations with the aid of two novel techniques namely, coupled fractional reduced differential transform method (CFRDTM) and q-homotopy analysis transform method (q-HATM). The obtained solutions are presented in a series form, which are converges rapidly. In order to verify the proposed techniques are reliable and accurate, the numerical simulations have been conducted in terms of absolute error. The obtained solutions are presented graphically to ensure the applicability and validity of the considered algorithms. The results of the study reveal that, the q-HATM is computationally very effective and accurate as compared to CFRDTM to analyse fractional nonlinear coupled Jaulent Miodek equations.