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.
Authors
- Imran Siddique (ORCID: https://orcid.org/0000-0002-5060-7906)
- S. Iqbal (ORCID: https://orcid.org/0000-0003-4839-3168)
- H. M. Younas (ORCID: https://orcid.org/0009-0003-2094-7146)
- Kousar Yousaf
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