A NEW APPROACH TO THE DIFFERENTIAL QUADRATURE METHOD FOR FOURTH-ORDER EQUATIONS

generalized and more complete methodology for treating boundary conditions in the Di¤erential Quadrature Method (DQM) is presented. This improved approach eliminates the deÞciencies of the d-type grid arrangement, which represents an approximation, by applying the boundary conditions exactly. Two kinds of basis functions, Chebyshev and Lagrange, are used for concept demonstration. It is found that the new approach cures most deÞciencies of the current DQM