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A Runge-Kutta Method with Lower Function Evaluations for Solving Hybrid Fuzzy Differential Equations

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Intelligent Information and Database Systems (ACIIDS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7802))

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Abstract

In this paper, we apply a Runge-Kutta method for solving first order fuzzy differential equations using lower number of function evaluations in comparison with classical Runge-Kutta method. It is assumed that the user will evaluate both f and f ′ readily instead of the evaluations of f only when solving hybrid fuzzy differential equation which enhance the order of accuracy of the solutions. Numerical example is provided which compares the new results with previous findings.

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Author information

Authors and Affiliations

  1. Institute for Mathematical Research, Universiti Putra Malaysia, UPM, 43400, Serdang, Selangor, Malaysia

    Ali Ahmadian, Mohamed Suleiman & Fudziah Ismail

  2. Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran

    Soheil Salahshour

  3. Institute of Advanced Technology, Universiti Putra Malaysia, UPM, 43400, Serdang, Selangor, Malaysia

    Ferial Ghaemi

Authors
  1. Ali Ahmadian
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  2. Mohamed Suleiman
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  3. Fudziah Ismail
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  4. Soheil Salahshour
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  5. Ferial Ghaemi
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Editor information

Editors and Affiliations

  1. Faculty of Computer Science and Information Systems, Department of Software Engineering, Universiti Teknologi Malaysia, 81310, Johar Baharu, Johor, Malaysia

    Ali Selamat  & Habibollah Haron  & 

  2. Institute of Informatics, Division of Knowledge Managements Systems, Wrocław University of Technology, Str. Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    Ngoc Thanh Nguyen

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Ahmadian, A., Suleiman, M., Ismail, F., Salahshour, S., Ghaemi, F. (2013). A Runge-Kutta Method with Lower Function Evaluations for Solving Hybrid Fuzzy Differential Equations. In: Selamat, A., Nguyen, N.T., Haron, H. (eds) Intelligent Information and Database Systems. ACIIDS 2013. Lecture Notes in Computer Science(), vol 7802. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36546-1_28

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  • DOI: https://doi.org/10.1007/978-3-642-36546-1_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36545-4

  • Online ISBN: 978-3-642-36546-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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