AN ANALYTICAL-NUMERICAL METHOD FOR A TYPICAL BIFURCATION PROBLEM

被引：0
|
作者：
饶传霞
机构：
[1] Dept. of Math.
[2] Wuhan University
来源：
Acta Mathematica Scientia | 1987年 / 03期
关键词：
AN ANALYTICAL-NUMERICAL METHOD FOR A TYPICAL BIFURCATION PROBLEM;
D O I：
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摘要：
In this paper, the nonlinear two-point boundary vslue problem which has a secondary bifurcation point is solved by an anlyticnumerical mechod.The problem was first transformed analytically into finding roots of the trascendental equation Then the turning point was obtained numerically, λ_c=1.87452030182. And the following three cases are all considered: the problem has two solutions, one solution or no solution, when λ<λ_c, λ=λ_c, or λ>λ_c, respectively.The steps for solving the problem and some results of numerical experiments are given in the paper.
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页码：241 / 246
页数：6
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