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Solving First Order Fuzzy Initial Value Problem by Fourth Order Runge-Kutta Method Based on Different Means

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Fuzzy Information and Engineering and Decision (IWDS 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 646))

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Abstract

In this paper, we compare exact solution and four approximate solutions obtained from the R-K method by four different means. We illustrate related results and investigate better and closer solutions to the exact solutions. The accuracy of presented method is showed by solving examples from the fuzzy differential equations with initial values.

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Acknowledgments

Supported by National Natural Science Foundation of China (U1601204), the Natural Science Foundation of Guangdong Province (2016A030313552) and Guangzhou Vocational College of Science and Technology (2016TD03).

Recommender: 2016 International workshop on Mathematics and Decision Science, Dr. Hadi Nasseri of University of Mazandaran in Iran.

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Authors and Affiliations

  1. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, School of Mathematics and Information Science, Higher Education Institutes, Guangzhou University, Guangzhou, 510006, Guangdong, China

    Maryam Asghari Hemmat Abadi & Bing Yuan Cao

  2. Guangzhou Vocational College of Science and Technology, Guangzhou, 510550, China

    Maryam Asghari Hemmat Abadi & Bing Yuan Cao

Authors
  1. Maryam Asghari Hemmat Abadi
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  2. Bing Yuan Cao
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Corresponding author

Correspondence to Bing Yuan Cao .

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Editors and Affiliations

  1. Guangzhou Vocational College of Science and Technology, Guangzhou, China

    Bing-Yuan Cao

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Abadi, M.A.H., Cao, B.Y. (2018). Solving First Order Fuzzy Initial Value Problem by Fourth Order Runge-Kutta Method Based on Different Means. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_36

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  • DOI: https://doi.org/10.1007/978-3-319-66514-6_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66513-9

  • Online ISBN: 978-3-319-66514-6

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