Efficient spectral ultraspherical-dual-Petrov–Galerkin algorithms for the direct solution of (2n+1)th-order linear differential equations
- 1 July 2009
- journal article
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 79 (11) , 3221-3242
Abstract
No abstract availableThis publication has 17 references indexed in Scilit:
- Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equationsApplied Mathematical Modelling, 2009
- Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomialsApplied Numerical Mathematics, 2008
- Efficient spectral-Galerkin algorithms for direct solution of the integrated forms of second-order equations using ultraspherical polynomialsThe ANZIAM Journal, 2007
- Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomialsNumerical Algorithms, 2006
- Optimal Spectral-Galerkin Methods Using Generalized Jacobi PolynomialsJournal of Scientific Computing, 2006
- On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomialsJournal of Physics A: General Physics, 2004
- Efficient Spectral-Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ultraspherical PolynomialsSIAM Journal on Scientific Computing, 2002
- Jacobi Approximations in Certain Hilbert Spaces and Their Applications to Singular Differential EquationsJournal of Mathematical Analysis and Applications, 2000
- Gegenbauer Approximation and Its Applications to Differential Equations on the Whole LineJournal of Mathematical Analysis and Applications, 1998
- The coefficients of differentiated expansions and derivatives of ultraspherical polynomialsComputers & Mathematics with Applications, 1991