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Solution of Fuzzy Heat Equation Under Fuzzified Thermal Diffusivity

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Industrial Mathematics and Complex Systems

Part of the book series: Industrial and Applied Mathematics ((INAMA))

Abstract

This paper presents a solution for a fuzzy partial differential equation with fuzzy boundary and initial conditions. The solution of fuzzy heat equation is proposed using Seikkala differentiability of a fuzzy-valued function. The effect of fuzzified thermal diffusivity is studied.

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Acknowledgements

This research work is supported by National Board for Higher Mathematics (NBHM), Department of Atomic Energy (DAE), India. The authors are thankful to Prof. V. D. Pathak for his fruitful discussions.

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Authors and Affiliations

  1. School of Science and Engineering, Navrachana University of Vadodara, Vadodara, 391410, India

    U. M. Pirzada

  2. Department of Applied Mathematics, Faculty of Technology and Engineering, M.S. University of Baroda, Vadodara, 390001, India

    D. C. Vakaskar

Authors
  1. U. M. Pirzada
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  2. D. C. Vakaskar
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Corresponding author

Correspondence to U. M. Pirzada .

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Editors and Affiliations

  1. Department of Mathematics, Guru Nanak Dev University, Amritsar, Punjab, India

    Pammy Manchanda

  2. CNRS, Dieudonné Center of Mathematics, University Côte d’Azur, Nice, France

    René Lozi

  3. School of Basic Sciences and Research, Sharda University, Greater Noida, Uttar Pradesh, India

    Abul Hasan Siddiqi

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Pirzada, U.M., Vakaskar, D.C. (2017). Solution of Fuzzy Heat Equation Under Fuzzified Thermal Diffusivity. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Industrial Mathematics and Complex Systems. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3758-0_19

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