An Hybrid Numerical Algorithm With Error Estimation For A Class Of Functional Integro-Differential Equations
In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integro-differential equations. The considered problem is transfered to a matrix equation which corresponds to a system of linear algebraic equations by Hybrid collocation metho...
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| Vydáno v: | Gazi University Journal of Science Ročník 29; číslo 2 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Gazi Üniversitesi Yayınları
01.01.2016
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| Témata: | |
| ISSN: | 2147-1762 |
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| Abstract | In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integro-differential equations. The considered problem is transfered to a matrix equation which corresponds to a system of linear algebraic equations by Hybrid collocation method under the mixed conditions. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction. |
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| AbstractList | In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integro-differential equations. The considered problem is transfered to a matrix equation which corresponds to a system of linear algebraic equations by Hybrid collocation method under the mixed conditions. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction. |
| Author | Sezer,Mehmet Feridun Gürbüz,Burcu |
| AuthorAffiliation | Bilgisayar Mühendisliği Bölümü, Bilgisayar Mühendisliği Pr |
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| Keywords | Linear functional-differential equations Collocation methods Algorithms for functional approximation Taylor and Laguerre polynomials and series |
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| Title | An Hybrid Numerical Algorithm With Error Estimation For A Class Of Functional Integro-Differential Equations |
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