求解一阶模糊微分方程的两点混合块法

Q3 Computer Science

International Journal of Advances in Soft Computing and its Applications Pub Date : 2016-01-01 DOI:10.5899/2016/JSCA-00083

Tiaw Kah Fook, Z. Ibrahim

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引用次数: 2

摘要

本文将分块后向微分公式(BBDF)与分块Simpson法相结合，得到了一阶模糊微分方程数值解的混合分块法。在Seikkala可微性概念下详细讨论了该方法的模糊版本。给出了混合块法的数值计算结果，并与BBDF法、后向微分公式法和欧拉法的求解结果进行了比较。最后给出了几个数值问题来说明所提出的混合方法的有效性。

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Two Points Hybrid Block Method for Solving First Order Fuzzy Differential Equations

In this paper, hybrid block method is obtained by combining the Block Backward Differentiation Formulas (BBDF) with block Simpson method for the numerical solution of first order Fuzzy Differential Equations (FDEs). The fuzzy version of the methods is discussed in detail under Seikkala differentiability concept. Numerical results obtained by the hybrid block method are presented and compare with the solution obtained by BBDF, Backward Differential Formula (BDF) and Euler method. Several numerical problems are presented to illustrate the efficiency of the proposed hybrid method.

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来源期刊

International Journal of Advances in Soft Computing and its Applications Computer Science-Computer Science Applications

CiteScore

3.30

自引率

0.00%

发文量

期刊介绍： The aim of this journal is to provide a lively forum for the communication of original research papers and timely review articles on Advances in Soft Computing and Its Applications. IJASCA will publish only articles of the highest quality. Submissions will be evaluated on their originality and significance. IJASCA invites submissions in all areas of Soft Computing and Its Applications. The scope of the journal includes, but is not limited to: √ Soft Computing Fundamental and Optimization √ Soft Computing for Big Data Era √ GPU Computing for Machine Learning √ Soft Computing Modeling for Perception and Spiritual Intelligence √ Soft Computing and Agents Technology √ Soft Computing in Computer Graphics √ Soft Computing and Pattern Recognition √ Soft Computing in Biomimetic Pattern Recognition √ Data mining for Social Network Data √ Spatial Data Mining & Information Retrieval √ Intelligent Software Agent Systems and Architectures √ Advanced Soft Computing and Multi-Objective Evolutionary Computation √ Perception-Based Intelligent Decision Systems √ Spiritual-Based Intelligent Systems √ Soft Computing in Industry ApplicationsOther issues related to the Advances of Soft Computing in various applications.