安徽大学学报（自然科学版）2014，Vol.38Issue(2)：9-14,6.DOI:10.3969/j.issn.1000-2162.2014.02.002
基于Adomian分解法的变系数组合KdV方程的近似解
Approximate solutions to the variable coefficient combined KdV equation via the Adomian decomposition method
摘要
Abstract
This scheme was firstly developed to obtain the approximate solution to the variable coefficient combined KdV equation with initial condition via the Adomian decomposition method. First of all, the variable coefficient combined KdV equation would be simplified, and the nonlinear term linearization in the equation would be processed, then the Adomian decomposition method would be employed to find the fourth approximate solution to the equation. Finally, in special cases using numerical simulation method estimated the error of the approximate solution and exact solution, and gave the numerical simulation diagram of the approximation solution and exact solution.关键词
Adomian分解法/变系数组合KdV方程/近似解/数值模拟Key words
the Adomian decomposition method/the variable coefficient combined KdV equation/the approximate solution/the numerical simulation分类
数理科学引用本文复制引用
卢殿臣,沈芙蓉,洪宝剑..基于Adomian分解法的变系数组合KdV方程的近似解[J].安徽大学学报（自然科学版）,2014,38(2):9-14,6.基金项目
国家自然科学基金资助项目(61070231) （61070231）
江苏省六大人才高峰基金资助项目(2009188) （2009188）
江苏省研究生培养创新工程基金资助项目(CXLX13_673) （CXLX13_673）
