Analysis of Fractional Order Cauchy Reaction Diffusion Equations using the Homotopy Perturbation Method (HPM)

The Homotopy Perturbation Method HPM is used in this work to solve equations for time-fractional-order Cauchy reaction-diffusion. A comparison is done between the approximate third-order answers produced with HPM and the exact solutions. The findings show that HPM solves time-fractional-order CRD equations with a significant rate of convergence. To evaluate the method’s correctness, the solutions are plotted and the relative mistakes are tallied.

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Publication Details

Published
2024-11-20
DOI
https://doi.org/10.1109/icic63915.2024.11116465
Primary Topic
Palliative Care and End-of-Life Issues
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article
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article

Analysis of Fractional Order Cauchy Reaction Diffusion Equations using the Homotopy Perturbation Method (HPM)

Palliative Care and End-of-Life Issues
article

Analysis of Fractional Order Cauchy Reaction Diffusion Equations using the Homotopy Perturbation Method (HPM)

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Abstract

The Homotopy Perturbation Method HPM is used in this work to solve equations for time-fractional-order Cauchy reaction-diffusion. A comparison is done between the approximate third-order answers produced with HPM and the exact solutions. The findings show that HPM solves time-fractional-order CRD equations with a significant rate of convergence. To evaluate the method’s correctness, the solutions are plotted and the relative mistakes are tallied.

Riphah International University (PK), University of Management and Technology (PK)
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Palliative Care and End-of-Life Issues
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Analysis of Fractional Order Cauchy Reaction Diffusion Equations using the Homotopy Perturbation Method (HPM) · (2024) | TGRS Research Map | TGRS