Approximation theorems of a solution of amperometric enzymatic reactions based on Green’s fixed point normal-S iteration

Advances in Difference Equations

article

Muangchoo-in, Khanitin¹  Sitthithakerngkiet, Kanokwan³  Sa-Ngiamsunthorn, Parinya²  Kumam, Poom¹ 

[1] Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB);Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Fixed point iteration;    Green’s function;    Enzymatic reaction;    Boundary value problems;   

DOI  :  10.1186/s13662-021-03289-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, the authors present a strategy based on fixed point iterative methods to solve a nonlinear dynamical problem in a form of Green’s function with boundary value problems. First, the authors construct the sequence named Green’s normal-S iteration to show that the sequence converges strongly to a fixed point, this sequence was constructed based on the kinetics of the amperometric enzyme problem. Finally, the authors show numerical examples to analyze the solution of that problem.

【 授权许可】

CC BY