Error analysis of the Chebyshev collocation method for linear second-order partial differential equations

DOI10.1080/00207160.2014.966099zbMath1325.65141OpenAlexW1970365504MaRDI QIDQ3451422

Mehmet Sezer, Gamze Yuksel, Osman Rasit Isik

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.966099

zbMATH Keywords

partial differential equationsChebyshev collocation methodChebyshev polynomial solutionserror analysis of collocation methodsresidual correction procedure

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Linear higher-order PDEs (35G05)

Related Items (6)

A Numerical Method for Solving Second-Order Linear Partial Differential Equations Under Dirichlet, Neumann and Robin Boundary Conditions ⋮ The conical radial basis function for partial differential equations ⋮ Chebyshev collocation method for parabolic partial integrodifferential equations ⋮ Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions ⋮ A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order ⋮ A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials

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