The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst

Muhammed I. Syam; Mohamed Naim Anwar; Ahmet Yildirim; Mahmmoud M. Syam

doi:10.1007/s40819-019-0624-0

The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst

Muhammed I. Syam, Mohamed Naim Anwar, Ahmet Yildirim, Mahmmoud M. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we study the fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. The modified fractional power series method (MFPS) is employed to compute an approximation to the solution of this problem. The validity of the MFPS is ascertained by computing the solutions as α approaches to 1 and comparing our results with other methods in the literature when α= 1. The numerical results show the efficiency of our method. The existences of the solution is proved. In addition, the convergent of the proposed method is investigated. The influences of the main parameters in the model on the solution are discussed.

Original language	English
Article number	38
Journal	International Journal of Applied and Computational Mathematics
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/s40819-019-0624-0
Publication status	Published - Apr 1 2019

Keywords

Fractional non-isothermal reaction–diffusion model equations in a spherical catalyst
Modified fractional power series method
Nonlinear boundary value problem

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40819-019-0624-0

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The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst. / Syam, Muhammed I.; Anwar, Mohamed Naim; Yildirim, Ahmet et al.
In: International Journal of Applied and Computational Mathematics, Vol. 5, No. 2, 38, 01.04.2019.

Research output: Contribution to journal › Article › peer-review

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abstract = "In this paper, we study the fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. The modified fractional power series method (MFPS) is employed to compute an approximation to the solution of this problem. The validity of the MFPS is ascertained by computing the solutions as α approaches to 1 and comparing our results with other methods in the literature when α= 1. The numerical results show the efficiency of our method. The existences of the solution is proved. In addition, the convergent of the proposed method is investigated. The influences of the main parameters in the model on the solution are discussed.",

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AU - Anwar, Mohamed Naim

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AU - Syam, Mahmmoud M.

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N2 - In this paper, we study the fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. The modified fractional power series method (MFPS) is employed to compute an approximation to the solution of this problem. The validity of the MFPS is ascertained by computing the solutions as α approaches to 1 and comparing our results with other methods in the literature when α= 1. The numerical results show the efficiency of our method. The existences of the solution is proved. In addition, the convergent of the proposed method is investigated. The influences of the main parameters in the model on the solution are discussed.

AB - In this paper, we study the fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. The modified fractional power series method (MFPS) is employed to compute an approximation to the solution of this problem. The validity of the MFPS is ascertained by computing the solutions as α approaches to 1 and comparing our results with other methods in the literature when α= 1. The numerical results show the efficiency of our method. The existences of the solution is proved. In addition, the convergent of the proposed method is investigated. The influences of the main parameters in the model on the solution are discussed.

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KW - Nonlinear boundary value problem

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The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst

Abstract

Keywords

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