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

被引：0
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作者：
E. Ahmady
N. Ahmady
T. Allahviranloo
M. Shahriari
机构：
[1] Shahr-e-Qods Branch,Department of Mathematics
[2] Islamic Azad University,Department of Mathematics
[3] Varamin-Pishva Branch,Research Center of Performance and Productivity Analysis
[4] Islamic Azad University,Department of Industrial Management
[5] Istinye University,undefined
[6] South Tehran Branch,undefined
[7] Islamic Azad University,undefined
来源：
Computational and Applied Mathematics | 2024年 / 43卷
关键词：
Bipolar-fuzzy initial value problem; Bipolar-fuzzy multi-step method; Consistency; Stability; Convergence; 34A12; 34A07;
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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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