A new method for solving a class of mixed boundary value problems with singular coefficient

In [1–7], it is very difficult to deal with initial boundary value conditions. In this paper, we give a new method to deal with boundary value conditions, the main contribution of this paper is to put mixed boundary value conditions into reproducing kernel Hilbert space. The numerical examples are s...

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Bibliographic Details
Published in:Applied mathematics and computation 2010-11, Vol.217 (6), p.2768-2772
Main Authors: Wang, Y.L., Li, Z.Y., Cao, Y., Wan, X.H.
Format: Article
Language:English
Subjects:
Accuracy
Adjoint operator
Analytical solution
Boundary value problems
Coefficients
Computation
Exact sciences and technology
Functional analysis
Hilbert space
Kernels
Mathematical analysis
Mathematical models
Mathematics
Mixed boundary value problems
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Reproducing kernel
Sciences and techniques of general use
Singular coefficient
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Summary:In [1–7], it is very difficult to deal with initial boundary value conditions. In this paper, we give a new method to deal with boundary value conditions, the main contribution of this paper is to put mixed boundary value conditions into reproducing kernel Hilbert space. The numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.08.011