A fully Galerkin method for parabolic problems
Thesis/Dissertation
·
OSTI ID:5659595
This thesis contains the formulation and development of a spacetime Sinc-Galerkin method for the numerical solution of a parabolic partial differential equation in one space dimension. The space-time adjective means that a Galerkin technique is employed simultaneously over the spatial and temporal domains. Salient features of the method include: exponential convergence rate, an easily assembled discrete system, production of global approximation to the solution, and the ability to handle singular problems. Methods of solution for the discrete system and implementation of the method for a number of test problems are included.
- Research Organization:
- Montana State Univ., Bozeman, MT (United States)
- OSTI ID:
- 5659595
- Country of Publication:
- United States
- Language:
- English
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