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  • 标题:Numerical solution of first-order fully fuzzy differential equations by Runge-Kutta Fehlberg method under strongly generalized H-differentiability
  • 本地全文:下载
  • 作者:D. Vivek ; K. Kanagarajan ; S. Harikrishnan
  • 期刊名称:Journal of Soft Computing and Applications
  • 印刷版ISSN:2195-576X
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:1-23
  • DOI:10.5899/2017/jsca-00069
  • 出版社:ISPACS GmbH
  • 摘要:In this paper we propose Runge-Kutta Fehlberg method for solving fully fuzzy differential equations (FFDEs) of the form $y^{'}(t)=a\otimes y(t),\ y(0)=y_{0},\ t\in[0,T] $ under strongly generalized H-differentiability. The algorithm used here is based on cross product of two fuzzy numbers. Using cross product we investigate the problem of finding a numerical approximation of solutions. The convergence of this method is discussed and numerical example is included to verify the reliability of proposed method.
  • 关键词:Cross product; First-order fully fuzzy differential equation; Strongly generalized H-differentiability; Runge-Kutta Fehlberg method
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