References

Bellomo, N., E.D. Angelis, L. Graziano and A. Romano, 2001. Solution of nonlinear problems in applied sciences by generalized collocation methods and mathematica. Comput. Math. Appl., 41: 1343-1363.
Direct Link  |  

Carlson, T.S., J. Dockery and J. Lund, 1997. A sinc-collocation method for initial value problems. Math. Comput., 66: 215-235.
CrossRef  |  Direct Link  |  

Chen, W.Q. and C.F. Lu, 2005. 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported. Compos. Struct., 69: 77-87.
CrossRef  |  Direct Link  |  

Chia, C.Y., 1985. Non-linear vibration of anisotropic rectangular plates with non-uniform edge constraints. J. Sound Vibr., 101: 539-550.
CrossRef  |  Direct Link  |  

Cho, K.N., C.W. Bert and A.G. Striz, 1991. Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory. J. Sound Vibr., 145: 429-442.
CrossRef  |  Direct Link  |  

Dockery, J.D., 1991. Numerical Solution of Travelling Waves for Reaction-Diffusion Equations via the Sinc-Galerkin Method. In: Computation and Control II, Bowers, K. and J. Lund (Eds.). Birkhauser Publishing Ltd, Boston, Massachusetts, ISBN:978-0-8176-3611-1, pp: 95-113.

Donning, B.M. and W.K. Liu, 1998. Meshless methods for shear-deformable beams and plates. Comput. Methods Appl. Mech. Eng., 152: 47-71.
CrossRef  |  Direct Link  |  

El-Gamel, M. and A.I. Zayed, 2002. A Comparison Between the Wavelet-Galerkin and the Sinc-Galerkin Methods in Solving Nonhomogeneous Heat Equations. In: Inverse Problems, Image Analysis and Medical Imaging, Nashed, M.Z. and O. Scherzer (Eds.). American Mathematical Society, Providence, Rhode Island, USA., ISBN:0-8218-2979-3, pp: 85-97.

El-Gamel, M., S.H. Behiry and H. Hashish, 2003. Numerical method for the solution of special nonlinear fourth-order boundary value problems. Appl. Math. Comput., 145: 717-734.
CrossRef  |  Direct Link  |  

Fan, S.C. and Y.K. Cheung, 1984. Flexural free vibrations of rectangular plates with complex support conditions. J. Sound Vibr., 93: 81-94.
CrossRef  |  Direct Link  |  

Feri, M., A. Alibeigloo and A.A.P. Zanoosi, 2015. Three-dimensional static and free vibration analysis of cross-plylaminated plate bonded with piezoelectric layers using differential quadrature method. Meccanica, 51: 921-937.
CrossRef  |  Direct Link  |  

Hung, H.M., 2005. Electromechanical analysis of piezoelectric laminated composite beams. J. Marine Sci. Technol., 13: 148-155.
Direct Link  |  

Khdeir, A.A., 1988. Free vibration and buckling of symmetric cross-ply laminated plates by an exact method. J. Sound Vibr., 126: 447-461.
CrossRef  |  Direct Link  |  

Korkmaz, A. and I. Dag, 2011. Shock wave simulations using sinc differential quadrature method. Eng. Computations, 28: 654-674.
CrossRef  |  Direct Link  |  

Leung, A.Y.T. and J.K.W. Chan, 1998. Fourier P-element for the analysis of beams and plates. J. Sound Vibr., 212: 179-185.
CrossRef  |  Direct Link  |  

Matsunaga, H., 2000. Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory. Compos. Struct., 48: 231-244.
CrossRef  |  Direct Link  |  

Nechibvute, A., A. Chawanda and P. Luhanga, 2012. Finite element modeling of a piezoelectric composite beam and comparative performance study of piezoelectric materials for voltage generation. ISRN. Mater. Sci., 2012: 1-11.
CrossRef  |  Direct Link  |  

Ng, C.H.W., Y.B. Zhao and G.W. Wei, 2004. Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates. Comput. Methods Applied Mech. Eng., 193: 2483-2506.
CrossRef  |  

Vel, S.S., R.C. Mewer and R.C. Batra, 2004. Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Intl. J. Solids Struct., 41: 1625-1643.
CrossRef  |  Direct Link  |  

Wan, D.C., B.S.V. Patnaik and G.W. Wei, 2002. Discrete singular convolution-finite subdomain method for the solution of incompressible viscous flows. J. Comput. Phys., 180: 229-255.
CrossRef  |  Direct Link  |  

Wei, G.W., 1999. A unified method for solving Maxwell’s equations. Proceedings of the 1999 Microwaves Enter the 21st Century Conference on Asia Pacific Microwave Conference APMC'99 (Cat. No.99TH8473) Vol. 2, November 30-December 3, 1999, IEEE, Singapore, pp: 562-565.

Wei, G.W., 1999. Discrete singular convolution for the solution of the Fokker-Planck equation. J. Chem. Phys., 110: 8930-8942.
CrossRef  |  Direct Link  |  

Wei, G.W., 2000. A unified approach for the solution of the Fokker-Planck equation. J. Phys. A. Math. Gen., 33: 4935-4953.
CrossRef  |  Direct Link  |  

Wei, G.W., 2000. Solving quantum eigenvalue problems by discrete singular convolution. J. Phys. B. At. Mol. Opt. Phys., 33: 343-352.
CrossRef  |  Direct Link  |  

Wei, G.W., 2001. A new algorithm for solving some mechanical problems. Comput. Methods Applied Mech. Eng., 190: 2017-2030.
Direct Link  |  

Wei, G.W., Y.B. Zhao and Y. Xiang, 2001. The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution. Intl. J. Mech. Sci., 43: 1731-1746.
CrossRef  |  Direct Link  |  

Wei, G.W., Y.B. Zhao and Y. Xiang, 2002. A novel approach for the analysis of high-frequency vibrations. J. Sound Vibr., 257: 207-246.
CrossRef  |  Direct Link  |  

Wu, C.P. and W.Y. Chen, 1994. Vibration and stability of laminated plates based on a local high order plate theory. J. Sound Vibr., 177: 503-520.
CrossRef  |  Direct Link  |  

Xionghua, W. and Y. Shen, 2004. Differential quadrature domain decomposition method for a class of parabolic equations. Comput. Math. Appl., 48: 1819-1832.
CrossRef  |  Direct Link  |  

Yin, G., 1994. Sinc-collocation method with orthogonalization for singular Poisson-like problems. Math. Comput., 62: 21-40.
CrossRef  |  Direct Link  |  

Young, D., 1950. Vibration of rectangular plates by the Ritz method. ASME J. Applied Mech., 17: 448-453.

Zhang, Z., C. Feng and K.M. Liew, 2006. Three-dimensional vibration analysis of multilayered piezoelectric composite plates. Intl. J. Eng. Sci., 44: 397-408.
CrossRef  |  Direct Link  |  

Zhou, Y.Y., W.Q. Chen and C.F. Lu, 2010. Semi-analytical solution for orthotropic piezoelectric laminates in cylindrical bending with interfacial imperfections. Compos. Struct., 92: 1009-1018.
CrossRef  |  Direct Link  |  

Zitnan, P., 1996. Vibration analysis of membranes and plates by a discrete least squares technique. J. Sound Vibr., 195: 595-605.
CrossRef  |  Direct Link  |  

Zong, Z., K.Y. Lam and Y.Y. Zhang, 2005. A multidomain differential quadrature approach to plane elastic problems with material discontinuity. Math. Comput. Modell., 41: 539-553.
CrossRef  |  Direct Link  |