Abdelwahed, MohamedChorfi, NejmeddineRadulescu, Vicentiu2023-06-152023-06-152016-03-11Abdelwahed, M., Chorfi, N., & Radulescu, V. (2016). Numerical solutions to heat equations via the spectral method. Electronic Journal of Differential Equations, 2016(68), pp. 1-11.1072-6691https://hdl.handle.net/10877/16940In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalHeat equationEuler's methodSpectral discretizationError estimateArticle