Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space

被引：0

作者：

Xueqin Lü

Minggen Cui

机构：

[1] Harbin Institute of Technology,Department of Mathematics

[2] Harbin Normal University,School of Mathematics and Sciences

来源：

Boundary Value Problems | / 2010卷

关键词：

Differential Equation; Exact Solution; Partial Differential Equation; Ordinary Differential Equation; Approximate Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We are concerned with general third-order nonlinear boundary value problems. An existence theorem of solution is given under weaker conditions. In the meantime, an iterative algorithm with global convergence is presented. The higher order derivatives of approximate solution is obtained by using this method can approximate the corresponding derivatives of exact solution well.

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