Asymptotic Behavior of Solutions to the Diffusion Equation

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dc.contributor.authorSatyanarayana, S.
dc.contributor.authorMohd, A.
dc.contributor.authorSahoo, M.R.
dc.date.accessioned2026-02-05T09:30:50Z
dc.date.issued2018
dc.description.abstractWe 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]. © 2018, The Indian National Science Academy.
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2018, 49, 4, pp. 601-620
dc.identifier.issn195588
dc.identifier.urihttps://doi.org/10.1007/s13226-018-0289-0
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24893
dc.publisherIndian National Science Academy
dc.subjectAsymptotic behavior
dc.subjectCole-Hopf transformation
dc.subjectheat equation
dc.titleAsymptotic Behavior of Solutions to the Diffusion Equation

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