Second order differential equations with Dirichlet boundary conditions

被引：2
|
作者：
Jankowski, T [1 ]
机构：
[1] Gdansk Univ Technol, Dept Differential Equat, Gdansk, Poland
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 03期
关键词：
Dirichlet boundary conditions; second order differential equations; approximate solutions; quasilinearization; convergence;
D O I：
10.1080/1065246042000272045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we use a quasilinearization method to find an approximate solution of a nonlinear Dirichlet problem for second order differential equations. Sufficient conditions are formulated to obtain weak-quadratic, semi-quadratic or quadratic convergence of approximate solutions.
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页码：235 / 239
页数：5
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