On weighted Adams-Bashforth rules

Mathematical Communications

Masjed-Jamei, Mohammad¹  Salehi Shayegan, Amir Hossein¹  Milovanović, Gradimir² 

[1] Department of Mathematics, K. N. Toosi University of Technology, Tehran, Iran;Serbian Academy of Sciences and Arts, Beograd, Serbia

关键词: weighted Adams-Bashforth rule;    ordinary differential equation;    linear multistep method;    weight function;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

One class of the linear multistep methods for solving the Cauchy problems of the form $ y'=F(x,y) $, $ y(x_{0})=y_{0} $, contains Adams-Bashforth rules of the form $y_{n+1}=y_{n}+h\sum_{i=0}^{k-1} B_i^{(k)} F(x_{n-i},y_{n-i})$, where $\{...

【 授权许可】

Unknown