| 求解Fisher型方程的混合Legendre-球面调和谱方法 |
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| 引用本文： | 夏文杰,黄伟. 求解Fisher型方程的混合Legendre-球面调和谱方法[J]. 应用数学与计算数学学报, 2014, 0(1): 26-32 |
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| 作者姓名： | 夏文杰 黄伟 |
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| 作者单位： | 上海大学理学院 |
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| 基金项目： | 国家自然科学基金资助项目(11176015);上海市教育委员会重点学科建设资助项目(J50101);上海市重点学科建设资助项目(S30104) |
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| 摘 要： | 主要研究两同心球所界球形区域上偏微分方程的谱方法,建立了与区域形状相适应的混合Legendre-球面调和正交逼近的部分结果,在此基础上提出了数值求解两同心球所界球形区域上Fisher型方程的混合Legendre-球面调和谱格式,并分别给出了格式的收敛性及相关的数值结果.
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| 关 键 词： | 混合Legendre-球面调和谱方法 Fisher型方程 球形区域 |
Mixed Legendre-spherical harmonic spectral method for Fisher-like equation |
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| XIA Wen-jie;HUANG Wei. Mixed Legendre-spherical harmonic spectral method for Fisher-like equation[J]. Communication on Applied Mathematics and Computation, 2014, 0(1): 26-32 |
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| Authors: | XIA Wen-jie HUANG Wei |
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| Affiliation: | XIA Wen-jie;HUANG Wei;College of Sciences,Shanghai University; |
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| Abstract: | The spectral method of partial differential equations in a ball-like region between two concentric balls is researched, and some results of the mixed Legendre- spherical harmonic approximation in this region are obtained based on which a mixed Legendre-spherical harmonic spectral scheme is proposed for the Fisher-like equation in a ball-like region between two concentric balls. The convergence of the schemes is proved, and numerical results are presented to show the efficiency and effectiveness. |
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| Keywords: | mixed Legendre-spherical harmonic spectral method Fisher-like equation ball-like region |
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