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ISSN 2234-8417 (Online)
ISSN 1598-5857 (Print)
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Table of Contents |
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 Using crooked lines for the higher accuracy in system of integral equations |
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By S.M. Hashemiparast, M. Sabzeva
..........1141 |
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 Generic
Number - 1141 |
| References
- 0 |
| Written
Date -
January 13th, 11 |
| Modified
Date -
January 13th, 11 |
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| Original
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| Summary |
The numerical solution to the linear
and nonlinear and linear system of Fredholm and Volterra integral equations of the
second kind are investigated. We have used crooked lines which includ the nodes
specified by modified rationalized Haar functions. This method differs from using
nominal Haar or Walsh wavelets. The accuracy of the solution is improved and the
simplicity of
the method of using nominal Haar functions is preserved. In this paper, the crooked
lines with unknown coefficients under the specified conditions change the system of
integral equations to a
system of equations. By solving this system the unknowns are obtained and the
crooked lines are determined. Finally, error analysis of the procedure are
considered and this procedure is applied to the numerical examples, which illustrate
the accuracy and simplicity of this method in comparison with the methods proposed
by these authors. |
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