Adapted homotopy perturbation method with Shehu transform for solving conformable fractional nonlinear partial differential equations

MI Liaqat, A Khan, MA Alqudah, T Abdeljawad - Fractals, 2023 - World Scientific
There is considerable literature on solutions to the gas-dynamic equation (GDE) and Fokker–
Planck equation (FPE), where the fractional derivative is expressed in terms of the Caputo …

The Generalization of Integral Transforms Combined with He's Polynomial

JI Mustafa - European Journal of Pure and Applied Mathematics, 2023 - ejpam.com
Our goal in this paper is to generalize the integral transforms and use it with He's polynomial
method to find the solution of the nonlinear partial differential equations. All results of …

Solving one-dimensional heat and wave equations via gupta integral transform

R Gupta, N Pandita, R Gupta - 2022 International Conference …, 2022 - ieeexplore.ieee.org
The partial differential equations which represent the one-dimensional heat and wave
equations are generally solved by the techniques: exact, approximate, and purely numerical …

Solving Wave Equation and Heat Equation by Rohit Transform (RT)

R Gupta, RK Verma, SK Verma - Journal of Physics: Conference …, 2022 - iopscience.iop.org
The wave equation and the heat equation are widely known differential equations coming to
light in engineering, basic and material sciences. The differential equations which represent …

Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM

Z Perveen, Z Fatima, AH Majeed… - … Methods for Differential …, 2024 - cmde.tabrizu.ac.ir
This article proposes an iterative method using the Shehu Transform (ST) and the He's
Homotopy Perturbation Method (HPM). Integrating HPM with ST, this study addresses linear …