Application of generalized differential quadrature rule to sixth-order differential equations (Q2704602)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of generalized differential quadrature rule to sixth-order differential equations |
scientific article |
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26 April 2001
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sixth-order differential equations
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generalized differential quadrature rule
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Application of generalized differential quadrature rule to sixth-order differential equations (English)
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This paper deals with a general numerical method to solve high-order differential equations. This method regards the function values at all grid points and their derivatives at grid points wherever necessary as independent variables. A procedure for calculating weighting coefficients explicitly for an easy and accurate implementation of the generalized differential quadrature rule (GDQR) is presented. To validate the GDQR rigorously, three examples of boundary value problems (one with exact solution) are investigated.
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