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Variational approach to the sixth-order boundary value problems. (English) Zbl 1025.65043
Summary: Recently, {\it A.-M. Wazwaz} [Appl. Math. Comput. 118, 311-325 (2001; Zbl 1023.65074)] applied the Adomian’s decomposition method to solve analytically the solution of sixth-order boundary value problems. The same problem is discussed via the variational principle, which reveals to be much more simpler and much more efficient.

65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
65L60Finite elements, Rayleigh-Ritz, Galerkin and collocation methods for ODE
Full Text: DOI
[1] Wazwaz, A. M.: The numerical solution of sixth-order boundary value problems by the modified decomposition method. Appl. math. Comput. 118, 311-325 (2001) · Zbl 1023.65074
[2] Wazwaz, A. M.: The modified Adomian decomposition method for solving linear and nonlinear boundary value problems of 10th-order and 12th-order. Int. J. Nonlin. sci. Numer. simul. 1, No. 1, 17-24 (2000) · Zbl 0966.65058
[3] He, J. H.: Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics. Int. J. Turbo & jet-engines 14, No. 1, 23-28 (1997)