This work investigates the mitigation and elimination of scheme-related oscillations generated in compact and classical fourth-order finite difference solutions of stiff problems, represented here by the Burgers and Reynolds equations. The regions where severe gradients are anticipated are refined b
β¦ LIBER β¦
Optimal uniform finite difference schemes of order two for stiff initial value problems
β Scribed by Selvakumar, K.
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 532 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1069-8299
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## Abstract It is well known that standard finiteβdifference schemes for singular boundary value problems involving the Laplacian have difficulty capturing the singular (πͺ(1/__r__) or πͺ(log __r__)) behavior of the solution near the origin (__r__ = 0). New nonstandard finiteβdifference schemes that