A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations

被引：21
|
作者：
Doha, E. H. [2 ]
Bhrawy, A. H. [1 ,3 ]
Hafez, R. M. [4 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt
[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf 62511, Egypt
[4] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo 11931, Egypt
来源：
ABSTRACT AND APPLIED ANALYSIS | 2011年
关键词：
BOUNDARY-VALUE-PROBLEMS; SPECTRAL-COLLOCATION METHODS; MODELING VISCOELASTIC FLOWS; INTEGRATED FORMS; POLYNOMIALS; ALGORITHMS; APPROXIMATIONS; COEFFICIENTS; CONVERGENCE;
D O I：
10.1155/2011/947230
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Jacobi dual-Petrov-Galerkin (JDPG) method is introduced and used for solving fully integrated reformulations of third- and fifth-order ordinary differential equations (ODEs) with constant coefficients. The reformulated equation for the Jth order ODE involves n-fold indefinite integrals for n = 1, ... , J. Extension of the JDPG for ODEs with polynomial coefficients is treated using the Jacobi-Gauss-Lobatto quadrature. Numerical results with comparisons are given to confirm the reliability of the proposed method for some constant and polynomial coefficients ODEs.
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页数：21
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