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

Author

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  • E. H. Doha
  • A. H. Bhrawy
  • R. M. Hafez

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.

Suggested Citation

  • E. H. Doha & A. H. Bhrawy & R. M. Hafez, 2011. "A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-21, April.
    • Handle: RePEc:hin:jnlaaa:947230
    DOI: 10.1155/2011/947230
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