An Approximate Solution of Fractional Kolmogorov-Petrovskii-Piskunov Equations

Authors

  • Sumaira Yousuf Khan Institute of Business Management
  • Sahar Altaf Ahmed PAF-KIET Karachi Institute of Economics and Technology , Karachi 75190, Pakistan

DOI:

https://doi.org/10.11113/matematika.v35.n3.1198

Abstract

An approximate-analytical method known as Reduced Differential Transform Method (RDTM) is proposed to approximate the Fractional Kolmogorov- Petrovskii –Piskunov Equations. It is a powerful and convenient approximation analytical tool used for linear and nonlinear equations related to various science, engineering and industrial applications. Some illustrative examples are given to exemplify the competence of the proposed scheme and provide precise solutions for nonlinear problems. In addition, a comparison with the classical equation and Homotopy perturbation method illustrates the competency of the technique. The results show that the proposed technique requires minimum computational cost at rapid convergence. This method can be applied to other partial differential equations of fractional order for the analysis of their solutions.

Author Biographies

Sumaira Yousuf Khan, Institute of Business Management

Assistant Professor, Mathematics & Statistics

Sahar Altaf Ahmed, PAF-KIET Karachi Institute of Economics and Technology , Karachi 75190, Pakistan

College of Humanities and Sciences and Assistant Professor

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Published

2019-12-01

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Section

Articles