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Rational Chebyshev collocation method for solving higher‐order linear ordinary differential equations
Author(s) -
Sezer Mehmet,
Gülsu Mustafa,
Tanay Bekir
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20573
Subject(s) - mathematics , collocation method , orthogonal collocation , chebyshev polynomials , chebyshev equation , ordinary differential equation , chebyshev filter , collocation (remote sensing) , chebyshev nodes , chebyshev iteration , order (exchange) , taylor series , linear differential equation , rational function , partial differential equation , mathematical analysis , differential equation , computer science , classical orthogonal polynomials , orthogonal polynomials , finance , machine learning , economics
Abstract A collocation method to find an approximate solution of higher‐order linear ordinary differential equation with variable coefficients under the mixed conditions is proposed. This method is based on the rational Chebyshev (RC) Tau method and Taylor‐Chebyshev collocation methods. The solution is obtained in terms of RC functions. Also, illustrative examples are included to demonstrate the validity and applicability of the technique, and performed on the computer using a program written in maple9. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1130–1142, 2011