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Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY   APRIL 2014 , Volume 5 , Number 1; Page(s) 47 To 61.
 
Paper: 

NUMERICAL STUDY ON THE REACTION CUM DIFFUSION PROCESS IN A SPHERICAL BIOCATALYST

 
 
Author(s):  SAADATMANDI ABBAS*, NAFAR NAFISEH, TOUFIGHI SEYED PENDAR
 
* DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF MATHEMATICAL SCIENCES
 
Abstract: 

boundary value problems. In general, classical numerical methods fail to produce good approximations for the singular boundary value problems. In this paper, Chebyshev finite difference (ChFD) method and DTM-Pad’e method, which is a combination of differential transform method (DTM) and Pad´e approximant, are applied for solving singular boundary value problems arising in the reaction cum diffusion process in a spherical biocatalyst. ChFD method can be regarded as a non-uniform finite difference scheme and DTM is a numerical method based on the Taylor series expansion, which constructs an analytical solution in the form of a polynomial. The main advantage of DTM is that it can be applied directly to nonlinear ordinary without requiring linearization, discretization or perturbation. Therefore, it is not affected by errors associated to discretization. The results obtained, are in good agreement with those obtained numerically or by optimal homotopy analysis method.

 
Keyword(s): DIFFUSION-REACTION, BIOCATALYST, EFFECTIVENESS FACTOR, DIFFERENTIAL TRANSFORM METHOD, CHEBYSHEV FINITE DIFFERENCE METHOD
 
 
References: 
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Click to Cite.
APA: Copy

SAADATMANDI, A., & NAFAR, N., & TOUFIGHI, S. (2014). NUMERICAL STUDY ON THE REACTION CUM DIFFUSION PROCESS IN A SPHERICAL BIOCATALYST. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 5(1), 47-61. https://www.sid.ir/en/journal/ViewPaper.aspx?id=508856



Vancouver: Copy

SAADATMANDI ABBAS, NAFAR NAFISEH, TOUFIGHI SEYED PENDAR. NUMERICAL STUDY ON THE REACTION CUM DIFFUSION PROCESS IN A SPHERICAL BIOCATALYST. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY. 2014 [cited 2021May07];5(1):47-61. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=508856



IEEE: Copy

SAADATMANDI, A., NAFAR, N., TOUFIGHI, S., 2014. NUMERICAL STUDY ON THE REACTION CUM DIFFUSION PROCESS IN A SPHERICAL BIOCATALYST. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, [online] 5(1), pp.47-61. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=508856.



 
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