Approximate Solution of Nonlinear Multi-Point Boundary Value Problem on the Half-Line
Journal Title: Mathematical Modelling and Analysis - Year 2012, Vol 17, Issue 2
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.
Authors and Affiliations
Jing Niu, Ying Zhen Lin, Chi Ping Zhang
Keywords
Related Articles
- EP ID EP86551
- DOI 10.3846/13926292.2012.660889
- Views 71
- Downloads 0
Impact of Factor Rotation Methods on Simulation Composite Indicators
In this research one hypothesis about mathematical measure, which can be used as an additional tool for analysis and assessment Lithuania's economy tendencies, is verified. This additional measure has been constructed as...
On Fully Discrete Collocation Methods for Solving Weakly Singular Integro-Differential Equations
In order to find approximate solutions of Volterra and Fredholm integrodifferential equations by collocation methods it is necessary to compute certain integrals that determine the required algebraic systems. Those integ...
Relaxation of a Weakly Discontinuous Functional Depending on One Control Function
The paper considers an optimal control problem of the type J=int_{Omega} < B(x) nabla u, nabla u > + < g,nabla u>dx → min div A(x) nabla u-h(x)=0 in Omega u ϵ H[sub]0[/sub][sup]1[/sup](Omega;R[sup]m[/sup]), h...
Characteristic Functions for Sturm-Liouville Problems with Nonlocal Boundary Conditions
This paper presents some new results on a spectrum in a complex plane for the second order stationary differential equation with one Bitsadze--Samarskii type nonlocal boundary condition. In this paper, we survey the char...
Two-Sample Problems in Statistical Data Modelling
A common problem in mathematical statistics is to check whether two samples differ from each other. From modelling point of view it is possible to make a statistical test for the equality of two means or alternatively tw...