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A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Foundations of Computing and Decision Sciences

Volume 46 (2021): Issue 3 (September 2021)

By: Burcu Gürbüz

Open Access

|Sep 2021

Abstract

In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced. The approximate solution of the problem is obtained by truncated Laguerre series. Moreover convergence analysis is introduced and stability is explained. Besides, a test case is given and the error analysis is considered by the different norms in order to show the applicability of the method.

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Articles in this issue

DOI: https://doi.org/10.2478/fcds-2021-0015 | Journal eISSN: 2300-3405 | Journal ISSN: 0867-6356

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Language: English

Page range: 221 - 233

Submitted on: Jun 16, 2020

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Accepted on: Feb 17, 2021

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Published on: Sep 17, 2021

Published by: Poznan University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Laguerre polynomials and series,

singularly perturbed parabolic problem,

delay partial differential equation,

convergence analysis,

Laguerre matrix-collocation method

Related subjects:

Computer sciences,

Artificial intelligence,

Software development

© 2021 Burcu Gürbüz, published by Poznan University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 46 (2021): Issue 3 (September 2021)

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