| 一类抛物型反问题的径向基函数求解方法 |
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| 引用本文： | 张胜良. 一类抛物型反问题的径向基函数求解方法[J]. 复旦学报(自然科学版), 2009, 48(2) |
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| 作者姓名： | 张胜良 |
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| 作者单位： | 复旦大学数学科学学院,上海,200433 |
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| 基金项目： | 国家重点基础研究发展规划(973计划) |
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| 摘 要： | 基于径向基函数的理论,提出了一种新的方法求解一类抛物型反问题并决定控制参数,继而给出收敛性证明.事例表明这种方法非常高效.
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| 关 键 词： | 径向基函数 拟插值 反问题 热源控制参数 |
Radial Basis Function Methods for Solving a Class of Inverse Parabolic Problems |
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| ZHANG Sheng-liang. Radial Basis Function Methods for Solving a Class of Inverse Parabolic Problems[J]. Journal of Fudan University(Natural Science), 2009, 48(2) |
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| Authors: | ZHANG Sheng-liang |
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| Affiliation: | School of Mathematical Sciences;Fudan University;Shanghai 200433;China |
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| Abstract: | Based on the idea of radial basis function approximation,a fast and high accurate numerical method is developed for finding the solution of a class of inverse parabolic problems with source control parameter and determining this source control parameter,and then the convergence proof is given.It has been shown to be more effective. |
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| Keywords: | radial basis function quasi-interpolation inverse problem source parameter |
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