| Hammerstein方程的一个线性化方法 |
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| 引用本文： | 杨凤翔 孙晶. Hammerstein方程的一个线性化方法[J]. 天津大学学报(自然科学与工程技术版), 1996, 29(2): 213-218 |
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| 作者姓名： | 杨凤翔 孙晶 |
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| 摘 要： | 以周伦变换为基础建立Ｈａｍｍｅｒｓｔｅｉｎ方程的延拓法，将同伦方程归结为微分积分方程Ｃａｕｃｈｙ问题，在形成的Ｃａｕｃｈｙ问题中积分方程线性的，这种具有线性化特征的延拓法，用于非线性积分方程数值解，十分方便且有效。
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| 关 键 词： | 延拓法 线性化 数值解 微分积分方程 H方程 |
A LINEARIZED METHOD OF HAMMERSTEIN EQUATION |
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| Yang Fengxiang, Sun Jing. A LINEARIZED METHOD OF HAMMERSTEIN EQUATION[J]. Journal of Tianjin University(Science and Technology), 1996, 29(2): 213-218 |
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| Authors: | Yang Fengxiang Sun Jing |
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| Affiliation: | Dept. of Mathematics |
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| Abstract: | A continuation method for the Hammerstein equation is establish, based on a homotapy transformation. The homotopy equation results in the Cauchy problem of a differentic-integral equation, where the form of the integral equation is linear. Thus this continuation method has a linearized characteristic and can be used conveniently and effectioely to the numerical solution for the nonlinear integral equations. |
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| Keywords: | hammerstein equation continuation method linearise numerical solutions |
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