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

Volume 7, Issue 1, Article 3 - 2019

Authors: A.Boutaghou

Copyright © 2019 . 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.

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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.Boutaghou (2019) Spectral Method for the Heat Equation with Axial Symmetry and a Source
General Letters in Mathematics Vol 7 (1) 24-30
https://doi.org/10.31559/glm2019.7.1.3