Finite difference discretizations by differential quadrature techniques

✍ Scribed by Chen, Chang-New

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 125 KB
• Volume: 15
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199911)15:11<823::aid-cnm297>3.0.co;2-s

✦ Synopsis

A dierential quadrature ®nite dierence method (DQFDM) is proposed. The ®nite dierence operators are derived by the dierential quadrature (DQ). They can be obtained by using the weighting coecients for DQ discretizations. The derivation is straightforward. By using dierent orders or the same order but dierent grid DQ discretizations for the same derivative or partial derivative, various ®nite dierence operators for the same dierential or partial dierential operator can be obtained. Finite dierence operators for unequally spaced and irregular grids can also be generated through the use of generic dierential quadrature (GDQ). The derivation of higher order ®nite dierence operators is also easy.