Computational and Applied Mathematics

, Volume 37, Supplement 1, pp 16–26 | Cite as

A simple efficient method for solving sixth-order nonlinear boundary value problems

  • Dang Quang AEmail author
  • Dang Quang Long


In this paper, we propose a simple efficient method for a sixth-order nonlinear boundary value problem. It is based on the reduction of the problem to an operator equation for the right-hand-side function. The existence and uniqueness of a solution and its positivity are established. An iterative method for finding the solution is investigated. A numerical realization of the iterative method with the use of a difference scheme of sixth-order accuracy shows the efficiency and advantages of the proposed method over some other methods.


Sixth-order boundary value problem Existence and uniqueness of solution Positivity of solution Iterative method 

Mathematics Subject Classification

65L10 65L20 34B15 



We would like to thank the reviewers for their helpful comments for improving the quality of the paper. This work is supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under the Grant number 102.01-2017.306.


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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018

Authors and Affiliations

  1. 1.Centre for Informatics and ComputingVASTHanoiVietnam
  2. 2.Institute of Information Technology, VASTHanoiVietnam

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