On Bernstein Polynomials Method to the System of Abel Integral Equations
This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the given problem. Using some properties of these...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/796286 |
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| Summary: | This paper deals with a new implementation of the Bernstein polynomials
method to the numerical solution of a special kind of singular
system. For this aim, first the truncated Bernstein series polynomials
of the solution functions are substituted in the given problem. Using
some properties of these polynomials, the solution of the problem is
reduced to solve a linear system of algebraic equations. In order to confirm
the reliability and accuracy of the proposed method, some weakly
Abel integral equations systems with comparisons are solved in detail
as numerical examples. |
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| ISSN: | 1085-3375 1687-0409 |