Fully spectral methods for the solution of high order differential equations
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CitationVaissmoradi, N., Malek, A. ve Momeni-Masuleh, S. H. (2009). Fully spectral methods for the solution of high order differential equations. Maltepe Üniversitesi. s. 297.
In 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 efficiently. 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 efficiency of proposed schemes.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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