Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited

DOI10.1088/0305-4470/35/3/317zbMath1045.65070arXivphysics/9901005OpenAlexW2088537472MaRDI QIDQ4465573

Ioana Mihaila, Bogdan Mihaila

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9901005

zbMATH Keywords

convergencenumerical examplesquantum field theoryinitial value problemsChebyshev polynomial expansionfluid dynamicssecond-order boundary value problemsel-gendi's method

Mathematics Subject Classification ID

Related Items (12)

Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods ⋮ Efficient and stable generation of higher-order pseudospectral integration matrices ⋮ On the optimization of Gegenbauer operational matrix of integration ⋮ Semi-spectral Chebyshev method in quantum mechanics ⋮ Efficient high order method for differential equations in unbounded domains using generalized coordinate transformation ⋮ Efficient Mapping of High Order Basis Sets for Unbounded Domains ⋮ A new collocation scheme using non-polynomial basis functions ⋮ A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems ⋮ Chebyshev functions of half-integer order ⋮ Numerical solutions for convection-diffusion equation using El-Gendi method ⋮ Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods ⋮ Numerical approximations of Sturm–Liouville eigenvalues using Chebyshev polynomial expansions method

This page was built for publication: Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited