Work

Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique

Year: 2024

Type: article

Abstract: This article solves time-fractional order Cauchy reaction-diffusion equations in approximation using the Optimal Homotopy Asymptotic Method (OHAM).The exact solutions and approximate third-order results achieved using OHAM are compared. It has been noted that for partial time order Cauchy equations for reaction-diffusion, OHAM findings exhibit a substantial convergence rate. Plotting the outcomes of the solutions and tabulating the relative errors are done. In order to find the mentioned solutions Mathematica has been used.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100974

Authors: H.M. Younas, Kousar Yousaf, Imran Siddique, Shaukat Iqbal

Institutions: Riphah International University, University of Sargodha, Al-Ayen Iraqi University, University of Management and Technology

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4403714439

FWCI: 0.346

Cites: 27

Cited by: 1

Related to: 10