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

[摘要] 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 $N \geq 2$ to a local unique weak solution of the above mentioned equation.

[学科分类] 应用数学

[关键词] nonlinear Love equation;Faedo-Galerkin method;convergence of order $N$