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Runge–Kutta method for solving fuzzy differential equations under generalized differentiability

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Abstract

In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a numerical approximation of solutions. The Runge–Kutta approximation method is implemented and its error analysis, which guarantees pointwise convergence, is given. The method applicability is illustrated by solving a linear first-order fuzzy differential equation.

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Authors and Affiliations

  1. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India

    K. Kanagarajan

  2. Department of Applied Mathematics, Sri Venkateswara College of Engineering (Autonomous), No.1, Pennalur, Irungattukottai Post, Sriperumbudur, India

    R. Suresh

Authors
  1. K. Kanagarajan
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  2. R. Suresh
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Correspondence to R. Suresh.

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Communicated by Marko Rojas-Medar.

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Kanagarajan, K., Suresh, R. Runge–Kutta method for solving fuzzy differential equations under generalized differentiability. Comp. Appl. Math. 37, 1294–1305 (2018). https://doi.org/10.1007/s40314-016-0397-6

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  • DOI: https://doi.org/10.1007/s40314-016-0397-6

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