A new spline algorithm for solving non-isothermal reaction diffusion model equations in a spherical catalyst and spherical biocatalyst

2020 ◽  
Vol 754 ◽  
pp. 137651
Author(s):  
Mohammad Prawesh Alam ◽  
Tahera Begum ◽  
Arshad Khan
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Isothermal Reaction ◽  
Reaction Diffusion Model ◽  
Model Equations ◽  
Spherical Catalyst

scholarly journals A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations

2020 ◽  
Vol 19 ◽  
pp. 103462 ◽  
Author(s):  
Hijaz Ahmad ◽  
Tufail A. Khan ◽  
Imtiaz Ahmad ◽  
Predrag S. Stanimirović ◽  
Yu-Ming Chu
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Model Equations

Weakly Nonlinear Stability Analyses of Prototype Reaction-Diffusion Model Equations

SIAM Review ◽  
1994 ◽  
Vol 36 (2) ◽  
pp. 176-214 ◽  
Author(s):  
David J. Wollkind ◽  
Valipuram S. Manoranjan ◽  
Limin Zhang
Keyword(s):  
Diffusion Model ◽  
Nonlinear Stability ◽  
Reaction Diffusion ◽  
Weakly Nonlinear ◽  
Stability Analyses ◽  
Reaction Diffusion Model ◽  
Model Equations

scholarly journals On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Mo Faheem ◽  
Arshad Khan ◽  
E. R. El-Zahar
Keyword(s):  
Real Life ◽  
Reaction Diffusion ◽  
Human Head ◽  
Algebraic Equations ◽  
Conduction Model ◽  
Reaction Diffusion Model ◽  
Life Problems ◽  
Nonlinear Algebraic Equations ◽  
Model Equations ◽  
Spherical Catalyst

Abstract This paper is concerned with the Lane–Emden boundary value problems arising in many real-life problems. Here, we discuss two numerical schemes based on Jacobi and Bernoulli wavelets for the solution of the governing equation of electrohydrodynamic flow in a circular cylindrical conduit, nonlinear heat conduction model in the human head, and non-isothermal reaction–diffusion model equations in a spherical catalyst and a spherical biocatalyst. These methods convert each problem into a system of nonlinear algebraic equations, and on solving them by Newton’s method, we get the approximate analytical solution. We also provide the error bounds of our schemes. Furthermore, we also compare our results with the results in the literature. Numerical experiments show the accuracy and reliability of the proposed methods.

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