内蒙古师范大学学报(自然科学汉文版)
內矇古師範大學學報(自然科學漢文版)
내몽고사범대학학보(자연과학한문판)
JOURNAL OF INNER MONGOLIA NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2006年
2期
219-222
,共4页
非线性方程%泰勒展开式%数值计算%敛散性
非線性方程%泰勒展開式%數值計算%斂散性
비선성방정%태륵전개식%수치계산%렴산성
nonlinear equation%Taylor expansion%numerical computation%convergence
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.
採用泰勒展開式得到一組數值計算方法,進行非線性方程迭代數值計算近似求解,找到一箇判斷計算的數值解是否收斂于它的真實解的判據,討論瞭數值解的收斂域和收斂速度的大小.
채용태륵전개식득도일조수치계산방법,진행비선성방정질대수치계산근사구해,조도일개판단계산적수치해시부수렴우타적진실해적판거,토론료수치해적수렴역화수렴속도적대소.
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.