CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS

YANG Fenghang;SUN Jing

系统科学与复杂性(英文) ›› 1995, Vol. 8 ›› Issue (3) : 278-286.

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系统科学与复杂性(英文) ›› 1995, Vol. 8 ›› Issue (3) : 278-286.
论文

CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS

    YANG Fenghang;SUN Jing
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CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS

    YANG Fenghang;SUN Jing
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摘要

In this paper a continuation method for the Urysohn nonlinear equation is to be established by the use of a homotopy transformation, and the homotopy equation will result in the Cauchy problem of a differentio-integral equation, where the form of the integral equation is linear. Thus this continuation method possesses linearized characteristic and it can be applied to the numerical solution for nonlinear integral equation very conveniently and effectively.

Abstract

In this paper a continuation method for the Urysohn nonlinear equation is to be established by the use of a homotopy transformation, and the homotopy equation will result in the Cauchy problem of a differentio-integral equation, where the form of the integral equation is linear. Thus this continuation method possesses linearized characteristic and it can be applied to the numerical solution for nonlinear integral equation very conveniently and effectively.

关键词

Continuation method / Urysohn equation / h

Key words

Continuation method / Urysohn equation / homotopy transformation / numerical solution

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YANG Fenghang , SUN Jing. CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS. 系统科学与复杂性(英文), 1995, 8(3): 278-286
YANG Fenghang , SUN Jing. CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS. Journal of Systems Science and Complexity, 1995, 8(3): 278-286
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