Non-isothermal Reaction–Diffusion Model Equations in a Spherical Biocatalyst: Green’s Function and Fixed Point Iteration Approach

2019 ◽  
Vol 5 (4) ◽  
Author(s):  
B. Jamal ◽  
S. A. Khuri
Keyword(s):  
Fixed Point ◽  
Green’S Function ◽  
Diffusion Model ◽  
Green's Function ◽  
Reaction Diffusion ◽  
Fixed Point Iteration ◽  
Isothermal Reaction ◽  
Reaction Diffusion Model ◽  
Model Equations

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 Generalized Iteration Method via Green's Function for the Solution of the Fourth-order Boundary Value Problems

2021 ◽  
Vol 14 (3) ◽  
pp. 969-979
Author(s):  
Fatma Aydın Akgün ◽  
Zaur Rasulov
Keyword(s):  
Fixed Point ◽  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Fourth Order ◽  
Iteration Method ◽  
Boundary Value ◽  
Fixed Point Iteration ◽  
Linear And Nonlinear ◽  
Generalized Iteration

The aim of this paper is to extend and generalize Picard-Green’s fixed point iteration method for the solution of fourth-order Boundary Value Problems. Several numerical applications to linear and nonlinear fourth-order Boundary Value Problems are discussed to illustrate the main results.

A Class of Boundary Value Problems Arising in Mathematical Physics: A Green’s Function Fixed-point Iteration Method

2015 ◽  
Vol 70 (5) ◽  
pp. 343-350 ◽  
Author(s):  
Suheil Khuri ◽  
Ali Sayfy
Keyword(s):  
Fixed Point ◽  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Numerical Solutions ◽  
Boundary Value ◽  
Mathematical Physics ◽  
High Accuracy ◽  
Iteration Scheme ◽  
Fixed Point Iteration

AbstractThis paper presents a method based on embedding Green’s function into a well-known fixed-point iteration scheme for the numerical solution of a class of boundary value problems arising in mathematical physics and geometry, in particular the Yamabe equation on a sphere. Convergence of the numerical method is exhibited and is proved via application of the contraction principle. A selected number of cases for the parameters that appear in the equation are discussed to demonstrate and confirm the applicability, efficiency, and high accuracy of the proposed strategy. The numerical outcomes show the superiority of our scheme when compared with existing numerical solutions.

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