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.
Citation: Ji-Huan He, Shuai-Jia Kou, Hamid M. Sedighi. An ancient Chinese algorithm for two-point boundary problems and its application to the Michaelis-Menten kinetics[J]. Mathematical Modelling and Control, 2021, 1(4): 172-176. doi: 10.3934/mmc.2021016
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.
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Ji-Huan He, Shuai-Jia Kou, Hamid M. Sedighi. An ancient Chinese algorithm for two-point boundary problems and its application to the Michaelis-Menten kinetics[J]. Mathematical Modelling and Control, 2021, 1(4): 172-176. doi: 10.3934/mmc.2021016
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