Solving the Biharmonic Equation as Coupled Finite Difference Equations
โ Scribed by Louis W. Ehrlich
- Book ID
- 124185979
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1971
- Tongue
- English
- Weight
- 193 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.2307/2949477
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A mathematical expericent is used to study the dependence of the efficiency of a multimesh relaxation method on the difference approximation of the boundary conditions for the biharmonic equation. Computational results are given, illustrating the rate of convergence of the iterations. A comparison i
We define the notion of a Liouvillian sequence and show that the solution space of a difference equation with rational function coefficients has a basis of Liouvillian sequences iff the Galois group of the equation is solvable. Using this we give a procedure to determine the Liouvillian solutions of