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

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

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...

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Bibliographic Details
Main Authors: H.M. Younas, Kousar Yousaf, Imran Siddique, Shaukat Iqbal
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Oham
Approximate solutions
Cauchy reaction-diffusion equations
Time-fractional order
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124003607
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Summary: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.
ISSN:2666-8181

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