New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials

Author:

Doha E. H.,Abd-Elhameed W. M.,Bhrawy A. H.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference35 articles.

1. Abd-Elhameed, W.M.: Efficient spectral Legendre dual-Petrov–Galerkin algorithms for the direct solution of (2n+1)th-order linear differential equations. J. Egypt Math. Soc. 17, 189–211 (2009)

2. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions. Applied Mathematical Series, vol. 55. National Bureau of Standards, New York (1970)

3. Andrews, G.E., Askey, R., Roy, R.: Special Functions. Cambridge University Press, Cambridge (1999)

4. Aslanov, A.: A general formula for the series solution of high-order linear and nonlinear boundary value problems. Math. Comput. Model. 55, 785–790 (2012)

5. Bialecki, B., Fairweather, G., Karageorghis, A.: Matrix decomposition algorithms for elliptic boundary value problems: a survey. Numer. Algorithms 56, 3467–3478 (2011)

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