Vaissmoradi, N.; Malek, A.; Momeni-Masuleh, S. H. A novel hybrid scheme for solving stiff nonlinear partial differential equations. (English) Zbl 1175.65122 Int. J. Appl. Math. 22, No. 2, 275-286 (2009). A new mixed numerical technique based on spectral method, exponential time differencing, contour integral and Taylor expansion (SETDCT) is proposed to solve nonlinear time dependent high-order stiff PDEs. Applications to the numerical solution of both stiff dispersive and dissipative equations are presented. It is proved that the order of truncation error for the proposed scheme is \(O((\Delta t)^4)\). Numerical results are given to demonstrate efficiency of the scheme. Reviewer: Francisco Pérez Acosta (La Laguna) Cited in 1 Document MSC: 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 65D30 Numerical integration 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:spectral methods; stiff PDEs; KdV; Kuramoto-Sivashinski equation; Kawahara equation; exponential time differencing PDFBibTeX XMLCite \textit{N. Vaissmoradi} et al., Int. J. Appl. Math. 22, No. 2, 275--286 (2009; Zbl 1175.65122)