A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations-Reference-Cited by-同舟云学术

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

Published:2011 Issue: Volume:2011 Page:1-21
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Doha E. H.¹,Bhrawy A. H.²³,Hafez R. M.⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt

2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt

4. Department of Basic Science, Institute of Information Technology, Modern Academy, Cairo 11931, Egypt

Abstract

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 theJth order ODE involvesn-fold indefinite integrals forn=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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/947230.pdf

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