<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Foundations of Computing and Decision Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion...

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Published Online: Sep 17, 2021

Page range: 221 - 233

Received: Jun 16, 2020

Accepted: Feb 17, 2021

DOI: https://doi.org/10.2478/fcds-2021-0015

Keywords
Laguerre polynomials and series, singularly perturbed parabolic problem, delay partial differential equation, convergence analysis, Laguerre matrix-collocation method

© 2021 Burcu Gürbüz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Published Online: Sep 17, 2021

Page range: 221 - 233

Received: Jun 16, 2020

Accepted: Feb 17, 2021

DOI: https://doi.org/10.2478/fcds-2021-0015

KeywordsLaguerre polynomials and series, singularly perturbed parabolic problem, delay partial differential equation, convergence analysis, Laguerre matrix-collocation method

© 2021 Burcu Gürbüz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Laguerre polynomials and series, singularly perturbed parabolic problem, delay partial differential equation, convergence analysis, Laguerre matrix-collocation method