| 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].大学数学,2010,26(2). |
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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 |
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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 Sinc-Galerkin方法 Newton法 |
The Shock Solution for a Class of Singularly Perturbed Nonlinear Boundary Value Problems by the Sinc-Galerkin Method |
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| WU Qin-kuan.The Shock Solution for a Class of Singularly Perturbed Nonlinear Boundary Value Problems by the Sinc-Galerkin Method[J].College Mathematics,2010,26(2). |
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| Authors: | WU Qin-kuan |
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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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