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A collocation method to solve higher order linear complex differential equations in rectangular domains
Author(s) -
Sezer Mehmet,
Yalçinbaş Salih
Publication year - 2010
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.20448
Subject(s) - mathematics , collocation (remote sensing) , collocation method , orthogonal collocation , taylor series , domain (mathematical analysis) , partial derivative , maple , variable (mathematics) , boundary value problem , boundary (topology) , matrix (chemical analysis) , mathematical analysis , partial differential equation , order (exchange) , differential equation , ordinary differential equation , computer science , botany , materials science , finance , machine learning , economics , composite material , biology
Abstract In this article, a collocation method is developed to find an approximate solution of higher order linear complex differential equations with variable coefficients in rectangular domains. This method is essentially based on the matrix representations of the truncated Taylor series of the expressions in equation and their derivates, which consist of collocation points defined in the given domain. Some numerical examples with initial and boundary conditions are given to show the properties of the method. All results were computed using a program written in scientific WorkPlace v5.5 and Maple v12. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010