Abstract
The purpose of this paper is to study the Legendre spectral method for solving a particular case of the heat convection-diffusion equation, wich is formulated as a mixed initial boundary value problem within the finite regular domain Λ = (−1, 1). To tackle this problem, we employ certain techniques to transform it into a system of ordinary differential equations. Through matrix analysis, we derive a general term that characterizes all the ordinary differential equations in this system. solving this general term, provides the desired approximate solution, and we also present the error estimation.
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Lateli A., Boutaghou A. (2025) "Spectral Method for a Particular Case of the Heat Convection-Diffusion Equation
" Dolomites Research Notes on Approximation, 18(2), 112-123. DOI: 10.25430/pupj-DRNA-2025-2-13
Year of Publication
2025
Journal
Dolomites Research Notes on Approximation
Volume
18
Issue Number
2
Start Page
112
Last Page
123
Date Published
03/2025
ISSN Number
2035-6803
Serial Article Number
13
DOI
10.25430/pupj-DRNA-2025-2-13
Issue
Section
Articles