A METHOD FOR APPROXIMATING SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS BY USING FUZZY TRANSFORMS

Authors

  • SHARMISTHA BHATTACHARYA HALDER Department of Mathematics, Tripura University, 799022, India
  • PURNENDU DAS Department of Mathematics, Tripura University, 799022, India

Keywords:

Fuzzy transforms, Fuzzy partitions, Ordinary Differential Equations

Abstract

Fuzzy transforms developed by Irina Perfilieva is a novel, mathematically well founded soft computing tool with many applications. These techniques are based on mainly two transforms, direct fuzzy transform and inverse fuzzy transform. However a lot of works has still to be done on it for e.g. the extension of fuzzy transform and its applications in ordinary differential equations. In this paper we develop an approximating model based on fuzzy transform and apply the model for numerical solution of ordinary differential equations.

Author Biographies

SHARMISTHA BHATTACHARYA HALDER, Department of Mathematics, Tripura University, 799022, India

Reader

Mathematics

PURNENDU DAS, Department of Mathematics, Tripura University, 799022, India

Assistant Professor

Mathematics

Additional Files

Published

12/05/2013

Issue

Vol. 5 No. 1 (2014): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.