Asymptotic Behavior of Solutions to the Diffusion Equation

Satyanarayana Engu (), Ahmed Mohd () and Manas Ranjan Sahoo ()
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Satyanarayana Engu: National Institute of Technology Karnataka
Ahmed Mohd: National Institute of Technology Karnataka
Manas Ranjan Sahoo: National Institute of Science Education and Research

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 4, 601-620

Abstract: 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].

Keywords: Asymptotic behavior; Cole-Hopf transformation; heat equation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0289-0

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