APPROXIMATE SOLUTION OF NONLINEAR MULTI-POINT BOUNDARY VALUE PROBLEM ON THE HALF-LINE-Reference-Cited by-同舟云学术

APPROXIMATE SOLUTION OF NONLINEAR MULTI-POINT BOUNDARY VALUE PROBLEM ON THE HALF-LINE

Published:2012-04-01 Issue:2 Volume:17 Page:190-202
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Niu Jing¹,Lin Ying Zhen²,Zhang Chi Ping³

Affiliation:

1. Harbin Institute of Technology 150001 Harbin, HeiLongJiang, China; Harbin Normal University 150025 Harbin, HeiLongJiang, China

2. Harbin Institute of Technology at Weihai 264209 ShanDong, China

3. Harbin Institute of Technology 150001 Harbin, HeiLongJiang, China

Abstract

In this work, we construct a novel weighted reproducing kernel space and give the expression of reproducing kernel function skillfully. Based on the orthogonal basis established in the reproducing kernel space, an efficient algorithm is provided to solve the nonlinear multi-point boundary value problem on the half-line. Uniformly convergence of the approximate solution and convergence estimation of our algorithm are studied. Numerical results show our method has high accuracy and efficiency.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference15 articles.

1. Infinite Interval Problems for Differential, Difference and Integral Equations

2. Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line

3. The exact solution of a linear integral equation with weakly singular kernel

4. Multiple Unbounded Positive Solutions for Three-Point BVPs with Sign-Changing Nonlinearities on the Positive Half-Line

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