The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method

Year 2023, Volume: 5 Issue: 2, 76 - 91, 20.11.2023

Bedir Kaan Öner , Halil Anaç

https://doi.org/10.54286/ikjm.1335660

Abstract

This article employs a novel method, namely the conformable q-Sawi homotopy analysis transform method (Cq-SHATM) to investigate the numerical solutions of the nonlinear conformable time-fractional Noyes-Field model. The proposed method, namely Cq-SHATM, is a hybrid approach that integrates the q-homotopy analysis transform method and the Sawi transform using the concept of conformable derivative. 3D graps of the solutions obtained with this method were drawn. Additionally, 2D graphs of the solutions were obtained in the Maple software program. The computer simulations were conducted in order to validate the efficacy and reliability of the proposed method.

Keywords

Conformable time-fractional Noyes Field model, q-Sawi homotopy analysis transform method, conformable Sawi transform.

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