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 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.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-10-24
DOI
https://doi.org/10.1016/j.padiff.2024.100974
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.40
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article

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

Imran Siddique, S. Iqbal, H. M. Younas, Kousar Yousaf
1 citations
Partial Differential Equations in Applied Mathematics
Fractional Differential Equations Solutions
0.40
article

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

Imran Siddique, S. Iqbal, H. M. Younas, Kousar Yousaf
article en
1 citations

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.

Partial Differential Equations in Applied MathematicsVol. 12
Reduced inequalities
Openalex Percentile: Top 40%
Fractional Differential Equations Solutions
0.40
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