In this study, sinc‐Galerkin and Sinc collocation methods coupled with double exponential transformation have been developed to obtain a numerical solution of nonlinear two‐point boundary value problem arising in steady state nonlinear reaction diffusion equation containing a nonlinear term related to Michaelis‐Menten of the enzymatic reaction. Application of these methods reduce the solution of the Michaelis‐Menten equation to the solution of nonlinear system of algebraic equations. The upper bound of the error was calculated. Two problems of this model, chosen from the literature, were considered and for several parameters, numerical solution was shown. Obtained numerical results and error of the methods show that these methods are very fast with high efficiency in convergence.

中文翻译：

---

用Sinc方法求解与Michaelis-Menten方程有关的介导生物电催化过程

在这项研究中，已开发出结合双指数变换的sinc-Galerkin和Sinc搭配方法，以获得在稳态非线性反应扩散方程中出现的非线性两点边值问题的数值解，该方程包含与Michaelis-Menten相关的非线性项。酶促反应。这些方法的应用将Michaelis-Menten方程的解简化为代数方程的非线性系统的解。计算误差的上限。考虑了从文献中选择的该模型的两个问题，并针对几个参数显示了数值解。获得的数值结果和方法的误差表明，这些方法非常快速，收敛效率很高。