Title Details: | |
Heat Equation: Finite Differences |
|
Authors: |
Plexousakis, Michael Chatzipantelidis, Panagiotis |
Reviewer: |
Akrivis, George |
Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMERICAL ANALYSIS > |
Description: | |
Abstract: |
In this chapter we study finite difference methods for simple parabolic equations in one spatial and one time variable. We consider the forward Euler method, the backward Euler method and the Crank-Nicolson method. We further show stability and consistency results and derive error estimates for these methods.
|
Linguistic Editors: |
Tsiadimou, Anastasia |
Technical Editors: |
Chatzipantelidis, Panagiotis |
Graphic Editors: |
Chatzipantelidis, Panagiotis |
Type: |
Chapter |
Creation Date: | 2015 |
Item Details: | |
License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
Handle | http://hdl.handle.net/11419/668 |
Bibliographic Reference: | Plexousakis, M., & Chatzipantelidis, P. (2015). Heat Equation: Finite Differences [Chapter]. In Plexousakis, M., & Chatzipantelidis, P. 2015. Numerical Solution of Partial Differential Equations [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/668 |
Language: |
Greek |
Is Part of: |
Numerical Solution of Partial Differential Equations |
Publication Origin: |
Kallipos, Open Academic Editions |