Doha, E. H.Bhrawy, A. H.Hafez, R. M.2019-12-022019-12-022011Cited References in Web of Science Core Collection: 321085-3375https://doi.org/10.1155/2011/947230https://www.hindawi.com/journals/aaa/2011/947230/Accession Number: WOS:000298651500001A 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.enUniversity for BOUNDARY-VALUE-PROBLEMSSPECTRAL-COLLOCATION METHODSMODELING VISCOELASTIC FLOWSINTEGRATED FORMSPOLYNOMIALSALGORITHMSAPPROXIMATIONSCOEFFICIENTSCONVERGENCEArticlehttps://doi.org/10.1155/2011/947230