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The Modified Local Crank–Nicolson method for one- and two-dimensional Burgers’ equations

✍ Scribed by Pengzhan Huang; Abdurishit Abduwali

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
341 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 seen that they are in excellent agreement.

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