A discretization scheme for some conservative problems
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摘要
We approximate a locally unique solution of an equation in Banach spaces using a Newton-like method of R-order three. Then we apply this method to obtain an existence-uniqueness result for a basic conservative problem given by a nonlinear boundary-value problem. Next, by means of a discretization method, we approximate the solution of the conservative problem.
论文关键词：34B15,47H17,65J15,70K99,Nonlinear equations in Banach space,Differential equation,Multipoint iteration,Third-order method,Convergence theorem,Recurrence relation,A priori error bound
论文评审过程：Received 27 August 1998, Revised 5 February 1999, Available online 14 February 2000.
论文官网地址：https://doi.org/10.1016/S0377-0427(99)00115-6
