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Numerical solution of second-order fuzzy nonlinear two-point boundary value problems using combination of finite difference and Newton’s methods

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Abstract

In this paper, we discuss the numerical solution of second-order nonlinear two-point fuzzy boundary value problems (TPFBVP) by combining the finite difference method with Newton’s method. Numerical example using the well-known nonlinear TPFBVP is presented to show the capability of the new method in this regard and the results are satisfied the convex triangular fuzzy number. We also compare the numerical results with the exact solution, and it shows that the proposed method is good approximation for the analytic solution of the given TPFBVP.

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Authors and Affiliations

  1. School of Quantitative Sciences, Universiti Utara Malaysia (UUM), 06010, Sintok, Kedah, Malaysia

    Ali F. Jameel & Azizan Saaban

  2. School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800, Penang, Malaysia

    Hamzeh H. Zureigat

Authors
  1. Ali F. Jameel
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  2. Azizan Saaban
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  3. Hamzeh H. Zureigat
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Correspondence to Ali F. Jameel.

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Jameel, A.F., Saaban, A. & Zureigat, H.H. Numerical solution of second-order fuzzy nonlinear two-point boundary value problems using combination of finite difference and Newton’s methods. Neural Comput & Applic 30, 3167–3175 (2018). https://doi.org/10.1007/s00521-017-2893-z

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  • DOI: https://doi.org/10.1007/s00521-017-2893-z

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