A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations
Joint Authors
Bhrawy, Ali H.
Doha, E. H.
Hafez, R. M.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-10
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Doha, E. H.& Bhrawy, Ali H.& Hafez, R. M.. 2011. A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-510455
Modern Language Association (MLA)
Doha, E. H.…[et al.]. A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-510455
American Medical Association (AMA)
Doha, E. H.& Bhrawy, Ali H.& Hafez, R. M.. A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-510455
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510455
