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

E. H. Doha, A. H. Bhrawy and R. M. Hafez

Abstract and Applied Analysis, 2011, vol. 2011, 1-21

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 the ð ½ th order ODE involves ð ‘› -fold indefinite integrals for ð ‘› = 1 , … , ð ½ . 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:947230

DOI: 10.1155/2011/947230

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