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THE GENERALIZED DIFFERENTIAL QUADRATURE RULE FOR INITIAL-VALUE DIFFERENTIAL EQUATIONS

✍ Scribed by T.Y. WU; G.R. LIU

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
194 KB
Volume
233
Category
Article
ISSN
0022-460X

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✦ Synopsis

The generalized di!erential quadrature rule (GDQR) proposed recently by the authors is applied here to solve initial-value di!erential equations of the 2nd to 4th order. Di!erential quadrature expressions are derived based on the GDQR for these equations. The Hermite interpolation functions are used as trial functions to obtain the explicit weighting coe$cients for an easy and e$cient implementation of the GDQR. The numerical solutions for example problems demonstrate that the GDQR has high e$ciency and accuracy. A detailed discussion on the present method is presented by comparing with other existing methods. The present method can be extended to other types of di!erential equation systems.

πŸ“œ SIMILAR VOLUMES

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