Laguerre Polynomial Solutions of a Class of Delay Partial Functional Differential Equations

Gürbüz, B.; Sezer, M.

doi:10.12693/APhysPolA.131.558

Journal

Acta Physica Polonica A

2017 | 132 | 3 | 558-560

Article title

Laguerre Polynomial Solutions of a Class of Delay Partial Functional Differential Equations

Authors

B. Gürbüz , M. Sezer

Content

Full texts:

http://przyrbwn.icm.edu.pl/APP/PDF/132/app132z3p042.pdf [remote]

Title variants

Languages of publication

Abstracts

In this study, we develop a novel matrix collocation method based on the Laguerre polynomials to find the approximate solutions of some parabolic delay differential equations with integral terms subject to appropriate initial and boundary conditions. The method reduces the solution of the mentioned equations to the solution of a matrix equation which corresponds to system of algebraic equations with unknown Laguerre coefficients. Besides, the error analysis together with numerical results are performed to illustrate the efficiency of our method computationally.

Keywords

Laguerre polynomials and series delay partial differential equations with integral terms matrix and collocation methods error estimations

Publisher

Journal

Acta Physica Polonica A

Year

2017

Volume

132

Issue

Pages

558-560

Physical description

Dates

published

2017-09

Contributors

author

B. Gürbüz

Manisa Celal Bayar University, Department of Mathematics, Faculty of Art and Science, Manisa, Turkey

author

M. Sezer

Manisa Celal Bayar University, Department of Mathematics, Faculty of Art and Science, Manisa, Turkey

References

[1] J. Wu, Theory and Applications of Partial Functional Differential Equations, Springer, New York 2006, doi: 10.1007/978-1-4612-4050-1
[2] X. Fu, W. Zhang, J. Math. Anal. Appl. 191, 473 (1995), doi: 10.1006/jmaa.1995.1143
[3] A. Tezel Özturan, Acta. Phys. Pol. A 130, 14 (2016), doi: 10.12693/APhysPolA.130.14
[4] A. Daamouche, D. Fares, I. Maalem, K. Zemmouri, Acta. Phys. Pol. A 130, 28 (2016), doi: 10.12693/APhysPolA.130.28
[5] B. Kırış, O. Bingöl, R. Şenol, A. Altıntaş, Acta. Phys. Pol. A 130, 55 (2016), doi: 10.12693/APhysPolA.130.55
[6] S. Kabashi, S. Bekteshi, S. Ahmetaj, B. Saramati, V. Veliu, Acta. Phys. Pol. A 130, 122 (2016), doi: 10.12693/APhysPolA.130.122
[7] N. El Houda Benmansour, M. Bouamoud, M. Sahlaoui, Acta. Phys. Pol. A 130, 145 (2016), doi: 10.12693/APhysPolA.130.145
[8] A. Marzocchi, E. Vuk, ZAMP 54, 224 (2003), doi: 10.1007/s000330300002
[9] B. Gürbüz, M. Sezer, Appl. Math. Comput. 242, 255 (2014), doi: 10.1016/j.amc.2014.05.058
[10] A. Özdemir, Z. Erdem, I. Usuman, Acta. Phys. Pol. A 130, 228 (2016), doi: 10.12693/APhysPolA.130.228
[11] M. Koru, O. Serçe, Acta. Phys. Pol. A 130, 453 (2016), doi: 10.12693/APhysPolA.130.453
[12] Ö. Karaçalı, Acta. Phys. Pol. A 130, 249 (2016), doi: 10.12693/APhysPolA.130.249
[13] B. Bülbül, M. Sezer, Math. Prob. Eng. 2013, 869749 (2013), doi: 10.1155/2013/869749
[14] B. Gürbüz, M. Sezer, Acta. Phys. Pol. A 130, 194 (2016), doi: 10.12693/APhysPolA.130.194
[15] F. Fakhar-Izadi, M. Dehghan, J. Comput. Appl. Math. 235, 4032 (2011), doi: 10.1016/j.cam.2011.02.030

Document Type

Publication order reference

Identifiers

DOI

10.12693/APhysPolA.131.558

YADDA identifier

bwmeta1.element.bwnjournal-article-appv132n3p042kz