This paper presents a very first combined application of Ritz method and differential
quadrature (DQ) method to vibration problem of rectangular plates. In this study, the spatial …

Two non-linear dynamical systems have been considered. In both cases, the governing
equation of motion is reduced to two second-order non-linear non-autonomous ordinary …

Special cases of linear eighth-order boundary-value problems have been solved using
polynomial splines. However, divergent results were obtained at points adjacent to …

Aims of this paper are to improve ADI differential quadrature method (ADI-DQM) based on
Bernstein polynomials and add a new application to the differential quadrature method. By …

A generalized differential quadrature rule (GDQR) has been proposed as a general
numerical method to solve high‐order differential equations. Applications are given to sixth …

This paper presents the combined application of differential quadrature method (DQM) and
finite-difference method (FDM) with a relaxation parameter to nonlinear reaction–diffusion …

In this paper, the axisymmetric bending analysis of moderately thick circular plates based on
the Reissner-Mindlin plate theory is conducted numerically by using the differential …

A new differential quadrature method based on cubic B-spline is developed for the
numerical solution of differential equations. In order to develop the new approach, the B …

A nonlinear mathematical model of the large deformation analysis of beams with
discontinuity conditions and initial displacements is first formulized by the arc coordinates …

The local differential quadrature (LDQ) method is developed from the differential quadrature
(DQ) method. Two main disadvantages of the conventional DQ method are the restriction on …