| 用径向函数法求解偏微分方程 |
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| 引用本文： | 梁蓓. 用径向函数法求解偏微分方程[J]. 应用数学, 2004, 17(2): 227-233 |
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| 作者姓名： | 梁蓓 |
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| 作者单位： | 华南农业大学理学院数学教研室,广州,510642 |
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| 摘 要： | In this paper. Kansa′s method and Hermite collocation method with Radial Basis Func-tions is applied to solve partial differential equation. The resultant matrix generated from the Her-mite method is positive definite, which guarantees the reversibility of the matrix. The numerical re-sults indicate that the methods provides reversibility of the matrix. The numerical results indicatethat the method provieds an efficient algorithm for solving partial differential equations.
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| 关 键 词： | 径向函数法 偏微分方程 Kansa法 Hermite排序法 正定矩阵 数值计算 |
Radial Basis Functions for Solving PDEs |
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| LIANGBei. Radial Basis Functions for Solving PDEs[J]. Mathematica Applicata, 2004, 17(2): 227-233 |
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| Authors: | LIANGBei |
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| Affiliation: | DepartmentofMathematicsCollegeofScienceSouthChinaAgricultureUniversityGuangzhou510642,China |
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| Abstract: | In this paper,Kansa's method and Hermite collocation method with Radial Basis Functions is applied to solve partial differential equation.The resultant matrix generated from the Hermite method is positive definite,which guarantees the reversibility of the matrix.The numerical results indicate that the methods provides reversibility of the matrix.The numerical results indicate that the method provieds an efficient algorithm for solving partial differential equations. |
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| Keywords: | Radial basis function Kansa's method Hermite collocation method |
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