A multi-step method to solve bipolar-fuzzy initial value problem

被引：0
|
作者：
Ahmady, E. [1 ]
Ahmady, N. [2 ]
Allahviranloo, T. [3 ]
Shahriari, M. [4 ]
机构：
[1] Islamic Azad Univ, Dept Math, Shahr E Qods Branch, Tehran, Iran
[2] Islamic Azad Univ, Dept Math, Varamin Pishva Branch, Varamin, Iran
[3] Istinye Univ, Res Ctr Performance & Prod Anal, Istanbul, Turkiye
[4] Islamic Azad Univ, Dept Ind Management, South Tehran Branch, Tehran, Iran
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 01期
关键词：
Bipolar-fuzzy initial value problem; Bipolar-fuzzy multi-step method; Consistency; Stability; Convergence; DIFFERENTIAL-EQUATIONS;
D O I：
10.1007/s40314-024-02598-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bipolar-fuzzy differential equations applied for modeling in science, engineering, and social science. The aim of this paper is to provide a numerical method to determine the preferred level of accuracy with less computational cost. The proposed method is generated by combining three-step explicit and two-step implicit bipolar-fuzzy methods, which are obtained by the spline interpolation. For more illustration, the consistency, stability, and convergence theorems are discussed in detail. Finally, for show the performance and efficiency of the method, several numerical examples are presented.
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页数：31
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