On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems

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摘要

In this article, we consider third and fourth order of accuracy stable difference schemes for the approximate solutions of hyperbolic multipoint nonlocal boundary value problem in a Hilbert space H with self-adjoint positive definite operator A. We present stability estimates and numerical analysis for the solutions of the difference schemes using finite difference method.

论文关键词:Abstract hyperbolic equations,Stability,Difference equations,Nonlocal and multipoint BVPs

论文评审过程:Available online 21 January 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.117