摘要
利用同伦摄动法给出sine-Gordon方程一类初值问题和一类混合问题的近似解析解,并对近似解与精确解进行了比较,结果表明,近似解具有较高的精度.
In this paper,the approximate analytical solution of an initial and a mixed problem of the sine-Gordon equations are given by using the homotopy perturbation method （HPM）.We compared the approximate solution and exact solution and found that the approximate solution has the advantages of high accuracy.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2010年第2期116-121,共6页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10761005)
内蒙古自然科学基金资助项目(200408020103)
关键词
同伦摄动法
SINE-GORDON方程
近似解
homotopy perturbation method
sine-Gordon equation
approximate analytical solution
