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 计算数学 2012, Vol. 34 Issue (2): 113-124    DOI:
 论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 |  Next Articles 1. 上海师范大学计算数学系, 上海 200234;
2. 科学计算上海高校重点实验室, 上海 200234
COMPUTING MULTIPLE SOLUTIONS TO THE BOUNDARY VALUE PROBLEM OF HENON EQUATION
Li Zhaoxiang1,2, Yang Zhonghua1,2
1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China;
2. Scientific Computing Key Laboratory of Shanghai University, Shanghai, 200234, China
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Abstract： Three algorithms based on the bifurcation method are applied to computing the D4(3) symmetric positive solutions to the boundary value problem of Henon equation. Taking r in Henon equation as a bifurcation parameter, the symmetry-breaking bifurcation points are found via the extended systems on the branch of the D4(3) symmetric positive solutions. Finally, other symmetric positive solutions are computed by the branch switching method based on the Liapunov-Schmidt reduction.

 引用本文: . 计算立方体上Henon方程多个正解的分歧方法[J]. 计算数学, 2012, 34(2): 113-124. . COMPUTING MULTIPLE SOLUTIONS TO THE BOUNDARY VALUE PROBLEM OF HENON EQUATION[J]. Mathematica Numerica Sinica, 2012, 34(2): 113-124.

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