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Sextic spline solution for solving a fourth-order parabolic partial differential equation.
- Source :
- International Journal of Computer Mathematics; Jul2005, Vol. 82 Issue 7, p871-879, 9p
- Publication Year :
- 2005
-
Abstract
- A fourth-order parabolic partial differential equation in one space variable which arises in the study of transverse vibrations of a uniform flexible beam is solved. The numerical solution is obtained by using a new three-level method based on a sextic spline in space and finite-difference discretization in time. Stability analysis of the method has been carried out. It is shown that we obtain a scheme of O ( k 2 + h 4 ) and O ( h 4 + h 2 k 2 ). The method is tested on a problem which has appeared in physical applications. Comparison with some known methods shows the superiority of the present method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 82
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 17523011
- Full Text :
- https://doi.org/10.1080/00207160512331331165