Numerical solutions to heat equations via the spectral method
Date
2016-03-11
Authors
Abdelwahed, Mohamed
Chorfi, Nejmeddine
Radulescu, Vicentiu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study a discretized version of the heat equation. For the time semi-discrete problem, we use an implicit Euler's scheme, and for the space discretization we used the spectral method. We estimate for the error between the exact and approximated discrete solutions, and illustrate the features of our method with numerical examples.
Description
Keywords
Heat equation, Euler's method, Spectral discretization, Error estimate
Citation
Abdelwahed, M., Chorfi, N., & Radulescu, V. (2016). Numerical solutions to heat equations via the spectral method. <i>Electronic Journal of Differential Equations, 2016</i>(68), pp. 1-11.
Rights
Attribution 4.0 International