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New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches

✍ Scribed by Jin Wang; Anita Layton


Book ID
108057559
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
287 KB
Volume
60
Category
Article
ISSN
0168-9274

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The Modified Local Crank–Nicolson method
✍ Pengzhan Huang; Abdurishit Abduwali πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 341 KB

The Modified Local Crank-Nicolson method is applied to solve one-and two-dimensional Burgers' equations. New difference schemes that are explicit, unconditionally stable, and easy to compute are obtained. Numerical solutions obtained by the present method are compared with exact solutions, and it is