A Block Hybrid Method for Non-linear Second Order Boundary Value Problems

被引：1
作者：
Costabile, Francesco Aldo [1 ]
Caira, Rosanna [1 ]
Gualtieri, Maria Italia [1 ]
机构：
[1] Univ Calabria, Dept Math & Comp Sci, I-87036 Rende Cs, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 01期
关键词：
Boundary value problem; difference method; sparse matrix; 65L10; 65L12; 65F50; EXPLICIT 2-STEP METHODS; COLLOCATION METHODS;
D O I：
10.1007/s00009-018-1286-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new method of hybrid type, for non-linear second order BVPs, to overcome some drawbacks of classic difference finite methods. An estimation of the local and global error is also given. Numerical tests on BVPs which is well known in the literature confirm the accuracy of the theoretical results.
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页数：18
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