Numerical Solution of Higher-Order Linear and Nonlinear Ordinary Differential Equations with Orthogonal Rational Legendre Functions

In this paper, we describe a method for the solution of linear and nonlinear ordinary differential equations ODE’s of arbitrary order with initial or boundary conditions. In this direction we first investigate some properties of orthogonal rational Legendre functions, and then we give the least...

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Bibliographic Details
Main Authors: S. R. Alavizadeh, F. M. Maalek Ghaini
Format: Article
Language:English
Published: Islamic Azad University 2014-12-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/257/178