On a high-order iterative scheme for a nonlinear love equation

In this paper, a high-order iterative scheme is established for a nonlinear Love equation associated with homogeneous Dirichlet boundary conditions. This is a development based on recent results (L.T.P.Ngoc, N.T. Long (2011); L.X.Truong, L.T. P.Ngoc, N.T. Long (2009)) to get a convergent sequence at...

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Veröffentlicht in:	Applications of mathematics (Prague) 2015-06, Vol.60 (3), p.285-298
Hauptverfasser:	Ngoc, Le Thi Phuong, Duy, Nguyen Tuan, Long, Nguyen Thanh
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Applied mathematics Boundary conditions Classical and Continuum Physics Dirichlet problem Iterative methods Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Nonlinear equations Nonlinearity Optimization Sequences Studies Theoretical
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Beschreibung
Zusammenfassung:	In this paper, a high-order iterative scheme is established for a nonlinear Love equation associated with homogeneous Dirichlet boundary conditions. This is a development based on recent results (L.T.P.Ngoc, N.T. Long (2011); L.X.Truong, L.T. P.Ngoc, N.T. Long (2009)) to get a convergent sequence at a rate of order N ⩾ 2 to a local unique weak solution of the above mentioned equation.
ISSN:	0862-7940 1572-9109
DOI:	10.1007/s10492-015-0096-4