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

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 t...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2019-02, Vol.16 (1), p.1-18, Article 17
Main Authors: Costabile, Francesco Aldo, Caira, Rosanna, Gualtieri, Maria Italia
Format: Article
Language:English
Subjects:
Boundary value problems
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-018-1286-6