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

<abstract><p>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 <italic>Ying Buzu Shu</italic>, and a nonlinear reaction diffusion equation with a Michaelis-Menten potential is used as an example to show the solution process.</p></abstract>