An N-Order Iterative Scheme for a Nonlinear Love Equation

Authors: Nguyễn Anh Triết, Nguyễn Tuấn Duy, Nguyễn Thành Long, Lê Thị Phương Ngọc,

https://doi.org/10.1007/s10013-016-0201-3

Publisher, magazine: ,

Publication year: 2016

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Abstract

In this paper, we consider an initial and boundary value problem for a nonlinear Love equation, with the source term containing four variables f = f(x,t,u,u t ). Motivated by recent results for Love equation, we establish here a high-order iterative scheme in order to obtain a convergent sequence at a rate of order N to a local weak solution of the model.

Tags: Nonlinear; Love equation; Faedo–Galerkin method; The convergence of order N