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A numerical algorithm for solving a class of linear nonlocal boundary value problems

Lin, Yingzhen ; Lin, Jinnan

Applied mathematics letters, 2010-09, Vol.23 (9), p.997-1002 [Periódico revisado por pares]

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Título:
A numerical algorithm for solving a class of linear nonlocal boundary value problems
Autor: Lin, Yingzhen ; Lin, Jinnan
Assuntos: Boundary value problems ; Construction ; Exact sciences and technology ; Exact solutions ; Functional analysis ; Higher order differential equations ; Kernels ; Mathematical analysis ; Mathematical models ; Mathematics ; New reproducing kernel space ; Nonlocal boundary value problems ; Numerical algorithm ; Numerical analysis ; Numerical analysis. Scientific computation ; Ordinary differential equations ; Partial differential equations, boundary value problems ; Sciences and techniques of general use
É parte de: Applied mathematics letters, 2010-09, Vol.23 (9), p.997-1002
Notas: ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
Descrição: In order to solve a class of linear nonlocal boundary value problems, a new reproducing kernel space satisfying nonlocal conditions is constructed carefully. This makes it easy to solve the problems. Furthermore, the exact solutions of the problems can be expressed in series form. The numerical results demonstrate that the new method is quite accurate and efficient for solving fourth-order nonlocal boundary value problems.
Editor: Kidlington: Elsevier Ltd
Idioma: Inglês

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