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A new approach to the differential quadrature method for fourth-order equations. (English) Zbl 0886.73078
Summary: A generalized methodology for treating boundary conditions in the differential quadrature method (DQM) is presented. This improved approach eliminates the deficiencies of the $$\delta$$-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 deficiencies of the current DQM.

##### MSC:
 74S30 Other numerical methods in solid mechanics (MSC2010) 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74K20 Plates
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