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

Le Thi Phuong Ngoc; Nguyen Tuan Duy; Nguyen Thanh Long

Applications of Mathematics (2015)

  • Volume: 60, Issue: 3, page 285-298
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Ngoc, Le Thi Phuong, Duy, Nguyen Tuan, and Long, Nguyen Thanh. "On a high-order iterative scheme for a nonlinear Love equation." Applications of Mathematics 60.3 (2015): 285-298. <http://eudml.org/doc/270085>.

@article{Ngoc2015,
abstract = {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 $N \ge 2$ to a local unique weak solution of the above mentioned equation.},
author = {Ngoc, Le Thi Phuong, Duy, Nguyen Tuan, Long, Nguyen Thanh},
journal = {Applications of Mathematics},
keywords = {nonlinear Love equation; Faedo-Galerkin method; convergence of order $N$; nonlinear Love equation; Faedo-Galerkin method; convergence of order $N$},
language = {eng},
number = {3},
pages = {285-298},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a high-order iterative scheme for a nonlinear Love equation},
url = {http://eudml.org/doc/270085},
volume = {60},
year = {2015},
}

TY - JOUR
AU - Ngoc, Le Thi Phuong
AU - Duy, Nguyen Tuan
AU - Long, Nguyen Thanh
TI - On a high-order iterative scheme for a nonlinear Love equation
JO - Applications of Mathematics
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 285
EP - 298
AB - 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 $N \ge 2$ to a local unique weak solution of the above mentioned equation.
LA - eng
KW - nonlinear Love equation; Faedo-Galerkin method; convergence of order $N$; nonlinear Love equation; Faedo-Galerkin method; convergence of order $N$
UR - http://eudml.org/doc/270085
ER -

References

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