Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials

Author:

Doha E.H.,Bhrawy A.H.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference50 articles.

1. W.M. Abd-Elhameed, Spectral Galerkin method for solving second and fourth order differential equations by using ultraspherical polynomials, Cairo University, Egypt. M.Sc. Thesis, 2000

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3. Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two-dimensions;Babuška;Numer. Math.,2000

4. Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces, I. Approximability of functions in the weighted Besov spaces;Babuška;SIAM J. Numer. Anal.,2002

5. Spectral methods for the approximation of fourth-order problems: Applications to the Stokes and Navier–Stokes equations;Bernardi;Comput. & Structures,1988

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