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An approximation method to solve coupled system ODEs of order second using fuzzy transform

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Abstract

The present paper gives an alternative approximation method to find integrals of systems of ODEs using fuzzy transform (Fz-Tr). Especially, the new modified numerical approximation method to find the integral for a class of coupled systems of second-order ODEs (SOODEs) is introduced using Fz-Tr concept followed by numerical methods. This helps us to determine more approximate solution of SOODE. Using the proposed methodology, some examples are discussed and the error of approximation is observed.

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Authors and Affiliations

  1. Department of Mathematics, Smt. Kasturbai Walchand College, Sangli, Maharashtra, 416416, India

    C. G. Magadum

  2. Department of Mathematics, Willingdon College, Sangli, Maharashtra, 416415, India

    M. S. Bapat

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  1. C. G. Magadum
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  2. M. S. Bapat
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Magadum, C.G., Bapat, M.S. An approximation method to solve coupled system ODEs of order second using fuzzy transform. Comp. Appl. Math. 41, 380 (2022). https://doi.org/10.1007/s40314-022-02091-y

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