Abstract
In this chapter we shall continue our study of single step fully discrete methods and turn now to the approximation of the inhomogeneous heat equation. Following the approach of Chapter 7 we shall first consider discretization in time of an ordinary differential equation in a Hilbert space setting, and then apply our results to the spatially discrete equation. In view of the work in Chapter 7 for the homogeneous equation with given initial data, we now restrict ourselves to the case that the initial data vanish.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Thomée, V. (2006). Single Step Fully Discrete Schemes for the Inhomogeneous Equation. In: Galerkin Finite Element Methods for Parabolic Problems. Springer Series in Computational Mathematics, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33122-0_8
Download citation
DOI: https://doi.org/10.1007/3-540-33122-0_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33121-6
Online ISBN: 978-3-540-33122-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)