| 再生核空间中求解一类变系数偏微分方程 |
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| 引用本文： | 李志远,王玉兰,贺其业勒图.再生核空间中求解一类变系数偏微分方程[J].内蒙古大学学报(自然科学版),2011,42(6):618-622. |
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| 作者姓名： | 李志远 王玉兰 贺其业勒图 |
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| 作者单位： | 内蒙古工业大学数学系,呼和浩特,010051 |
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| 基金项目： | 内蒙古自然科学基金资助项目(No.2009MS0103); 内蒙古工业大学校基金(No.ZS201036) |
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| 摘 要： | 利用共轭算子给出了一类变系数偏微分方程的级数形式解的逼近解.避免了施密特正交化.证明了逼近解的收敛性.数值算例验证了本方法不仅有效而且精度高.
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| 关 键 词： | 偏微分方程 再生核空间 迭代方法 |
Solve a Class of Partial Differential Equations with Variable-coefficients in Reproducing Kernel Space |
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| LI Zhi-yuan,WANG Yu-lan,Heqiyeletu.Solve a Class of Partial Differential Equations with Variable-coefficients in Reproducing Kernel Space[J].Acta Scientiarum Naturalium Universitatis Neimongol,2011,42(6):618-622. |
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| Authors: | LI Zhi-yuan WANG Yu-lan Heqiyeletu |
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| Institution: | LI Zhi-yuan,WANG Yu-lan,Heqiyeletu(Department of Mathematics,Inner Mongolia University of Technology,Hohhot 010051,China) |
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| Abstract: | Exact and approximate solutions of a class of partial differential equations with variable-coefficients are given by using adjoint operators in the reproducing kernel space,and Schmidt orthonormal system is avoided.Convergence of approximate solutions is proved.A numerical example shows the method is effective and highly accurate. |
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| Keywords: | partial differential equation reproducing kernel space iterative method |
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