A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space

In this paper, a new numerical algorithm is provided to solve nonlinear three-point boundary value problems in a very favorable reproducing kernel space which satisfies all boundary conditions. Its reproducing kernel function is discussed in detail. We also prove that the approximate solution and it...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 218; no. 14; pp. 7362 - 7368
Main Authors Lin, Yingzhen, Niu, Jing, Cui, Minggen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.03.2012
Subjects
Algorithms
Approximation
Boundary value problems
Derivatives
Kernels
Mathematical analysis
Mathematical models
Nonlinear problems
Nonlinearity
Numerical algorithm
Reproducing kernel function
Three-point boundary value conditions
Nonlinear problems
Reproducing kernel function
Three-point boundary value conditions
Numerical algorithm
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Summary:In this paper, a new numerical algorithm is provided to solve nonlinear three-point boundary value problems in a very favorable reproducing kernel space which satisfies all boundary conditions. Its reproducing kernel function is discussed in detail. We also prove that the approximate solution and its first and second order derivatives all converge uniformly. The numerical experiments show that the algorithm is quite accurate and efficient for solving nonlinear second order three-point boundary value problems.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.11.009