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

B. Gürbüz; M. Sezer

doi:10.12693/APhysPolA.131.558

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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

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

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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

Institute of Physics, Polish Academy of Sciences

Journal

Acta Physica Polonica A

Year

2017

Volume

132

Issue

Pages

558-560

Physical description

Dates

published

2017-09

References

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Document Type

Publication order reference

YADDA identifier

bwmeta1.element.bwnjournal-article-appv132n3p042kz

Identifiers

DOI

10.12693/APhysPolA.131.558