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

  • Francesco Aldo Costabile
  • Rosanna Caira
  • Maria Italia GualtieriEmail author


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.


Boundary value problem difference method sparse matrix 

Mathematics Subject Classification

65L10 65L12 65F50 



Funding was provided by Ministero dell’Istruzione, dell’Università e della Ricerca.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Francesco Aldo Costabile
    • 1
  • Rosanna Caira
    • 1
  • Maria Italia Gualtieri
    • 1
    Email author
  1. 1.Department of Mathematics and Computer ScienceUniversity of CalabriaRendeItaly

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