He, Jihuan Variational approach to the sixth-order boundary value problems. (English) Zbl 1025.65043 Appl. Math. Comput. 143, No. 2-3, 537-538 (2003). Summary: Recently, 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. Cited in 21 Documents MSC: 65L10 Numerical solution of boundary value problems involving ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations Keywords:boundary value problem; variational principle; Ritz method; comparison of methods; Adomian’s decomposition method Citations:Zbl 1023.65074 PDF BibTeX XML Cite \textit{J. He}, Appl. Math. Comput. 143, No. 2--3, 537--538 (2003; Zbl 1025.65043) Full Text: DOI References: [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, 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, 1, 23-28 (1997) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.