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Zbl 1025.65043
He, Jihuan
Variational approach to the sixth-order boundary value problems. (English)
[J] Appl. Math. Comput. 143, No.2-3, 537-538 (2003). ISSN 0096-3003

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.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE
65L60 Finite numerical methods for ODE

Keywords: boundary value problem; variational principle; Ritz method; comparison of methods; Adomian's decomposition method

Citations: Zbl 1023.65074

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Zentralblatt MATH Berlin [Germany]