Block Backward Differentiation Formulas for solving second order Fuzzy Differential Equations

Authors

  • Tiaw Kah Fook Universiti Putra Malaysia
  • Zarina Bibi Ibrahim Universiti Putra Malaysia

DOI:

https://doi.org/10.11113/matematika.v33.n2.868

Abstract

In this paper, we study the numerical method for solving second order Fuzzy Differential Equations (FDEs) using Block Backward Differential Formulas (BBDF) under generalized concept of higher-order fuzzy differentiability. Implementation of the method using Newton iteration is discussed. Numerical results obtained by BBDF are presented and compared with Backward Differential Formulas (BDF) and exact solutions. Several numerical examples are provided to illustrate our methods.

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Published

27-12-2017

How to Cite

Fook, T. K., & Ibrahim, Z. B. (2017). Block Backward Differentiation Formulas for solving second order Fuzzy Differential Equations. MATEMATIKA, 33(2), 215–226. https://doi.org/10.11113/matematika.v33.n2.868

Issue

Volume 33 (December 2017)

Section

Articles

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Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.