Approximate solution of higher order linear differential equations by means of a new rational Chebyshev collocation method

DOI10.3390/MCA15010045zbMath1201.65137OpenAlexW2373317502MaRDI QIDQ710410

Mehmet Sezer, Nesrin Özsoy, Salih Fuat Yalçinbaş

Publication date: 19 October 2010

Published in: Mathematical \& Computational Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/mca15010045

zbMATH Keywords

numerical examples variable coefficients higher-order ordinary differential equations rational Chebyshev functions Taylor and Chebyshev collocation methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations ⋮ An exponential Chebyshev second kind approximation for solving high-order ordinary differential equations in unbounded domains, with application to Dawson's integral ⋮ Fibonacci collocation method for solving high-order linear Fredholm integro-differential-difference equations ⋮ Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations ⋮ A comparison study of numerical techniques for solving ordinary differential equations defined on a semi-infinite domain using rational Chebyshev functions

This page was built for publication: Approximate solution of higher order linear differential equations by means of a new rational Chebyshev collocation method