Numerical simulation for fractional Jaulent-Miodek equation associated with energy-dependent Schrodinger potential using two novel techniques

TL;DR

This paper introduces two new numerical methods, CFRDTM and q-HATM, for solving fractional Jaulent-Miodek equations, demonstrating that q-HATM is more accurate and computationally efficient.

Contribution

The paper develops and compares two novel numerical techniques for fractional JM equations, highlighting the superior performance of q-HATM.

Findings

q-HATM is more accurate than CFRDTM.

Both methods produce rapidly converging series solutions.

Numerical results confirm the reliability of the proposed algorithms.

Abstract

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.