Abstract
AbstractThis work extends the application of the generalized differential quadrature rule (GDQR) to an eighth‐order boundary‐value differential equation with four boundary conditions at boundaries. The differential quadrature expression and explicit weighting coefficients for the eighth‐order differential equation are formulated for a first time to implement the GDQR more accurately. A circular cylindrical single‐barrel roof is employed as an example. The numerical results show good accuracy and convergence with only a few sampling points. The application of the GDQR is straightforward and has clear advantages in the implementation of multiple boundary conditions over the existing δ‐point technique. The GDQR has demonstrated itself as a general numerical method to solve high‐order differential equation with multiple boundary conditions. Copyright © 2001 John Wiley & Sons, Ltd.
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