Application of generalized differential quadrature rule to sixth-order differential equations. (English) Zbl 0969.65070

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.


65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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