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Research Article | Open Access

An ancient Chinese algorithm for two-point boundary problems and its application to the Michaelis-Menten kinetics

Ji-Huan He1,2,3( ), Shuai-Jia Kou1, Hamid M. Sedighi4
Xi'an University of Architecture and Technology, Xi'an, China
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, China
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
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Abstract

Taylor series method is simple, and an infinite series converges to the exact solution for initial condition problems. For the two-point boundary problems, the infinite series has to be truncated to incorporate the boundary conditions, making it restrictively applicable. Here is recommended an ancient Chinese algorithm called as Ying Buzu Shu, and a nonlinear reaction diffusion equation with a Michaelis-Menten potential is used as an example to show the solution process.

Keywords

nonlinear differential equationancient Chinese mathematicsshooting methodYing Buzu Shu

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Mathematical Modelling and Control
Volume 1 Issue 4,
December 2021
Pages 172-176
DOI: 10.3934/mmc.2021016

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Cite this article:
He J-H, Kou S-J, Sedighi HM. An ancient Chinese algorithm for two-point boundary problems and its application to the Michaelis-Menten kinetics. Mathematical Modelling and Control, 2021, 1(4): 172-176. https://doi.org/10.3934/mmc.2021016

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Received: 26 October 2021
Accepted: 09 December 2021
Published: 15 December 2021
©2021 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)