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A taylor collocation method for solving high‐order linear pantograph equations with linear functional argument
Author(s) -
Gülsu Mustafa,
Sezer Mehmet
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.20600
Subject(s) - mathematics , pantograph , partial derivative , orthogonal collocation , taylor series , collocation (remote sensing) , variable (mathematics) , collocation method , constant (computer programming) , partial differential equation , argument (complex analysis) , order (exchange) , mathematical analysis , differential equation , ordinary differential equation , computer science , mechanical engineering , programming language , biochemistry , chemistry , finance , machine learning , engineering , economics
Abstract A numerical method based on the Taylor polynomials is introduced in this article for the approximate solution of the pantograph equations with constant and variable coefficients. Some numerical examples, which consist of the initial conditions, are given to show the properties of the method. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27:1628–1638, 2011