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

Smita Tapaswini and S. Chakraverty ()
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Smita Tapaswini: National Institute of Technology
S. Chakraverty: National Institute of Technology

Fuzzy Information and Engineering, 2012, vol. 4, issue 3, 293-312

Abstract: 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.

Keywords: Fuzzy differential equation; Fuzzy number; Improved Euler method; Fuzzy initial value problem (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12543-012-0117-x

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