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Asymptotic Behavior of Solutions to the Diffusion Equation

Author

Listed:
  • Satyanarayana Engu

    (National Institute of Technology Karnataka)

  • Ahmed Mohd

    (National Institute of Technology Karnataka)

  • Manas Ranjan Sahoo

    (National Institute of Science Education and Research
    Homi Bhaba National Institute (HBNI), Training School Complex, Anushakti Nagar)

Abstract

We study asymptotic behavior of solutions to an initial value problem posed for heat equation. For which, we construct an approximate solution to the initial value problem in terms of derivatives of Gaussian by incorporating the moments of initial function. Spatial shifts are introduced into the leading order term as well as penultimate term of the approximation. This paper is continuation to the work of Yanagisawa [14].

Suggested Citation

  • Satyanarayana Engu & Ahmed Mohd & Manas Ranjan Sahoo, 2018. "Asymptotic Behavior of Solutions to the Diffusion Equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(4), pages 601-620, December.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:4:d:10.1007_s13226-018-0289-0
    DOI: 10.1007/s13226-018-0289-0
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