Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions

DOI10.1002/num.20362zbMath1167.65067OpenAlexW2160237403MaRDI QIDQ3629565

Ayşegül Akyüz-Daşcıoğlu

Publication date: 2 June 2009

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20362

zbMATH Keywords

numerical examplesChebyshev collocation methodtruncated double Chebyshev series

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (12)

Error analysis of the Chebyshev collocation method for linear second-order partial differential equations ⋮ A new matrix approach for solving second-order linear matrix partial differential equations ⋮ A Numerical Method for Solving Second-Order Linear Partial Differential Equations Under Dirichlet, Neumann and Robin Boundary Conditions ⋮ Haar wavelet approximation for magnetohydrodynamic flow equations ⋮ Fourier operational matrices of differentiation and transmission: introduction and applications ⋮ A new kind of double Chebyshev polynomial approximation on unbounded domains ⋮ A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis ⋮ Bernstein series solution of linear second-order partial differential equations with mixed conditions ⋮ Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order ⋮ Taylor matrix method for solving linear two-dimensional Fredholm integral equations with piecewise intervals ⋮ Approximation methods for solving fractional optimal control problems ⋮ A Bessel collocation method for solving fractional optimal control problems

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