| 一种非线性奇异积分特征方程的解 |
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| 引用本文： | 王宇,刘华,毕文珊.一种非线性奇异积分特征方程的解[J].天津工程师范学院学报,2013,23(2):38-42. |
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| 作者姓名： | 王宇 刘华 毕文珊 |
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| 作者单位： | 天津职业技术师范大学理学院,天津,300222 |
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| 基金项目： | 天津市自然科学基金资助项目 |
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| 摘 要： | 考虑用配位法解决一种非线性奇异积分方程的数值解问题。采用Lagrange有理插值方法将原方程离散为代数方程,通过求解该代数方程得到原方程的数值解和逼近解;再通过图像对解的情况进行分析,试图找到解与系数之间的关系。
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| 关 键 词： | 配位法 非线性奇异积分方程 Lagrange有理插值 |
Solutions of one class of nonlinear integral characteristic equation |
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| WANG Yu
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LIU Hua
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BI Wen-shan.Solutions of one class of nonlinear integral characteristic equation[J].Journal of Tianji University of Technology and Education,2013,23(2):38-42. |
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| Authors: | WANG Yu LIU Hua BI Wen-shan |
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| Institution: | (School of Science, Tianjin University of Technology and Education , Tianjin 300222, China) |
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| Abstract: | One class of nonlinear singular integral equation is considered in the collocation methods for its numerical solutions. Through Lagrange rational interpolation method, the original equation is diseretized, and then the numerical solutions and the approximate solutions of the nonlinear singular integral equations are obtained. Finally the images are used to analyze the solutions so as to find the relation between solutions and coefficient. |
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| Keywords: | collocation methods nonlinear singular integral equation Lagrange rational interpolation |
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