Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method
A Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. This method transforms the given general linear Fredholm integrodiffe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/46376 |
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| Summary: | A Taylor matrix method is developed to find an approximate
solution of the most general linear Fredholm
integrodifferential-difference equations with variable
coefficients under the mixed conditions in terms of Taylor
polynomials. This method transforms the given general linear
Fredholm integrodifferential-difference equations and the mixed
conditions to matrix equations with unknown Taylor coefficients.
By means of the obtained matrix equations, the Taylor coefficients
can be easily computed. Hence, the finite Taylor series approach
is obtained. Also, examples are presented and the results are
discussed. |
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| ISSN: | 0161-1712 1687-0425 |