General Letters in Mathematics

Volume 7 - Issue 1 (3) | PP: 24 - 30 Language : English
DOI : https://doi.org/10.31559/glm2019.7.1.3
486
26

Spectral Method for the Heat Equation with Axial Symmetry and a Source

A.Boutaghou
Received Date Revised Date Accepted Date Publication Date
14/12/2018 30/1/2019 17/9/2019 27/11/2019
Abstract
In this paper, we present a spectral method for solving the heat equation in cylindrical coordinates in a case where the data are axisymmetric and independent of the z-coordinate at the same time. The spectral method considered is of GalerkintypewithaGauss-Radaunumericalquadratureformula, itisbasedonaweightedweakvariationalformulationofthe continuous problem. The method considered is discret only in r-variable, the time variable remains continuous. Consequently, the discret problem leads to a system of ordinary differential equations, we solve the system and estimate the error, we also give some numerical examples.


How To Cite This Article
, A. (2019). Spectral Method for the Heat Equation with Axial Symmetry and a Source . General Letters in Mathematics, 7 (1), 24-30, 10.31559/glm2019.7.1.3

Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.