Back to University of Twente portal
Approximate solution of a nonlinear partial differential equation
Vajta, M. (2007) Approximate solution of a nonlinear partial differential equation. In: Mediterranean Conference on Control & Automation, 27-29 June 2007, Athens, Greece.
![[img]](http://doc.utwente.nl/style/images/fileicons/application_pdf.png)
| PDF 1282Kb |
| Abstract: | Nonlinear partial differential equations (PDE) are notorious to solve. In only a limited number of cases can we find an analytic solution. In most cases, we can only apply some numerical scheme to simulate the process described by a nonlinear PDE. Therefore, approximate solutions are important for they may provide more insight about the process and its properties (stability, sensitivity etc.). The paper investigates the transient solution of a second order, nonlinear parabolic partial differential equation with given boundary- and initial conditions. The PDE may describe various physical processes, but we interpret it as a thermal process with exponential source term. We develop an analytical approximation, which describes the inverse solution. Accuracy and feasibility will be demonstrated. We also provide an expression for the time-derivative of the transient at time zero. The results can be extended for other boundary conditions as well. |
| Item Type: | Conference or Workshop Item |
| Copyright: | © 2007 IEEE |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/64596 |
| Official URL: | http://dx.doi.org/10.1109/MED.2007.4433819 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
Show download statistics for this publication
Show download statistics for this publicationRepository Staff Only: item control page
Metis ID: 245971