A method of particular solutions for multi-point boundary value problems

The paper presents a new semi-analytic numerical method for solving multi-point boundary value problems with linear and nonlinear equations of the second and higher orders. The method is based on the use of the particular solutions of the linearized equation. Presented in the paper examples include...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-09, Vol.243, p.559-569
Main Author: Reutskiy, S.Yu
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Linear problems
Mathematical analysis
Mathematical models
Multi-point boundary value problem
Nonlinear equations
Nonlinear problems
Numerical analysis
Numerical solution
Operators
Particular solutions
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Summary:The paper presents a new semi-analytic numerical method for solving multi-point boundary value problems with linear and nonlinear equations of the second and higher orders. The method is based on the use of the particular solutions of the linearized equation. Presented in the paper examples include the solution of equations with differential operators of the second, third and fourth orders.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.06.014