Vaissmoradi, N.Malek, A.Momeni-Masuleh, S. H.2024-07-122024-07-122009Vaissmoradi, N., Malek, A. ve Momeni-Masuleh, S. H. (2009). Fully spectral methods for the solution of high order differential equations. Maltepe Üniversitesi. s. 297.9.78605E+12https://hdl.handle.net/20.500.12415/2269In the recent years spectral methods are used for solving stiff and non-stiff partial differential equations and ordinary differential equations. Various types of spectral methods for steady and unsteady problems are proposed to solve stiff and non-stiff partial differential equations effciently. In this article some schemes for solving stiff partial differential equations are derived. There are twofold: first method is based on Chebyshev polynomials for solving high-order boundary value problems. Second methods are based on Fourier-Galerkin and collocation spectral methods in space and Runge-Kutta, exponential time differencing, Taylor expansion and contour integral in time for solving stiff PDEs. Numerical results show the effciency of proposed schemes.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSpectral methodsExponential time differencingKdV and KS equationsConference Object298297