化学工程中非线性方程数值求解的敛散性研究(英文)

Convergence of numerical methods for the nonlinear equation in chemical reaction engineering

采用泰勒展开式得到一组数值计算方法,进行非线性方程迭代数值计算近似求解,找到一个判断计算的数值解是否收敛于它的真实解的判据,讨论了数值解的收敛域和收敛速度的大小.

Numerical solution of nonlinear equation is of vital importance to explain some basic problems in chemical reaction engineering.A group of numerical methods were given by Taylor Expansion.A criterion is given to adjust if the numerical solutions of a nonlinear equation converge to its solution,and its converging region and speed were also discussed.