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A new approach to fuzzy initial value problem by improved Euler method

Author

Listed:
  • Smita Tapaswini

    (National Institute of Technology)

  • S. Chakraverty

    (National Institute of Technology)

Abstract

This paper targets to investigate the solution of linear and nonlinear ordinary differential equations with fuzzy initial condition. Here, two improved Euler type methods have been proposed in order to obtain numerical solution of the problem. Along with this, an exact methodology is also discussed. The obtained results are depicted in term of plots to show the efficiency of the proposed methods. The solutions are compared with the known results and are found that those obtained by the proposed methods are tighter than the results from the existing method.

Suggested Citation

  • Smita Tapaswini & S. Chakraverty, 2012. "A new approach to fuzzy initial value problem by improved Euler method," Fuzzy Information and Engineering, Springer, vol. 4(3), pages 293-312, September.
    • Handle: RePEc:spr:fuzinf:v:4:y:2012:i:3:d:10.1007_s12543-012-0117-x
    DOI: 10.1007/s12543-012-0117-x
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    Cited by:

    1. Nurain Zulaikha Husin & Muhammad Zaini Ahmad & Mohd Kamalrulzaman Md Akhir, 2022. "Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations," Mathematics, MDPI, vol. 10(24), pages 1-25, December.

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