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

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 solut...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2019-04, Vol.5 (2), p.1-13, Article 38
Main Authors: Syam, Muhammed I., Anwar, Mohamed-Naim Yehia, Yildirim, Ahmet, Syam, Mahmmoud M.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Catalysis
Catalysts
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Power series
Theoretical
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Summary: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.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-019-0624-0