Numerical Investigation of Time-Fractional Phi-Four Equation via Novel Transform

This paper examines two methods for solving the nonlinear fractional Phi-four problem with variable coefficients. One of distinct states Klein–Gordon model yields equation. It is also used to simulate kink and anti-kink solitary wave connections that have recently emerged in biological systems nuclear particle physics. The approaches are being suggested consist Yang transform, homotopy perturbation approach, decomposition derivative as stated by Caputo. advantages proposed techniques their capability combining dominant attaining precise approximate solutions equations. important keep mind can perform better general they need less computational effort than alternative methods, while keeping a high level numerical precision. actual estimated outcomes demonstrated graphs tables be quite similar, demonstrating usefulness approaches. Additionally, several simulations show physical behaviors found regard order. article’s results possess complimentary properties relate symmetry partial differential