A new study on first-order fuzzy Fredholm-Volterra integro-differential equations by Jacobi polynomials and collocation methods

Verfasser / Beitragende:
[Sh. Behzadi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/2(2015-02-01), 421-429
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00500-014-1261-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1261-5 
100 1 |a Behzadi  |D Sh  |u Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran  |4 aut 
245 1 2 |a A new study on first-order fuzzy Fredholm-Volterra integro-differential equations by Jacobi polynomials and collocation methods  |h [Elektronische Daten]  |c [Sh. Behzadi] 
520 3 |a In this paper, the Jacobi polynomials and the collocation methods for solving first-order fuzzy linear Fredholm-Volterra integro-differential equation of the second kind under the generalized $$H$$ H -differentiability are introduced. The existence and uniqueness of the solution and convergence of the proposed methods are proved in details. Finally an example shows the accuracy of these methods. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Jacobi polynomials  |2 nationallicence 
690 7 |a Collocation method  |2 nationallicence 
690 7 |a Fuzzy integro-differential equations  |2 nationallicence 
690 7 |a Volterra and Fredholm integral equations  |2 nationallicence 
690 7 |a Generalized differentiability  |2 nationallicence 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/2(2015-02-01), 421-429  |x 1432-7643  |q 19:2<421  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1261-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1261-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Behzadi  |D Sh  |u Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/2(2015-02-01), 421-429  |x 1432-7643  |q 19:2<421  |1 2015  |2 19  |o 500