| 一类奇摄动非线性边值问题激波解的Sinc—Galerkin方法 |
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| 引用本文： | 吴钦宽.一类奇摄动非线性边值问题激波解的Sinc—Galerkin方法[J].工科数学,2010(2):34-37. |
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| 作者姓名： | 吴钦宽 |
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| 作者单位： | 南京工程学院数学研究所,江苏南京211167 |
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| 基金项目： | 江苏省高校自然科学基础研究项目（07KJD110077） |
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| 摘 要： | 讨论了一类非线性奇摄动方程的激波问题．利用Sinc—Galerkin方法，构造出边值问题的激波解，并由Newton法得到其近似解．
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| 关 键 词： | 奇摄动 非线性方程 激波 Sine—Galerkin方法 Newton法 |
The Shock Solution for a Class Boundary Value Problems of Singularly Perturbed Nonlinear by the Sinc-Galerkin Method |
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| Institution: | WU Qin -kuan (Institute of Mathematics, Nanjing Institute of Technology, Nanjing 211167, China) |
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| Abstract: | The shock problems for a class of the nonlinear singularly perturbed equations is studied. Using Sinc-Galerkin method, the shock solutions of boundary value problem are constructed, the approximation solution by Newton＇s method is obtained. |
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| Keywords: | singular perturbation nonlinear equation shock Sinc-Galerkin method Newton＇ s method |
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