Asymptotic Behavior of Solutions to the Diffusion Equation

被引：0
|
作者：
Satyanarayana Engu
Ahmed Mohd
Manas Ranjan Sahoo
机构：
[1] National Institute of Technology Karnataka,Department of Mathematical and Computational Sciences
[2] National Institute of Science Education and Research,School of Mathematical Sciences
[3] Homi Bhaba National Institute (HBNI),undefined
[4] Training School Complex,undefined
[5] Anushakti Nagar,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2018年 / 49卷
关键词：
Asymptotic behavior; Cole-Hopf transformation; heat equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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].
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页码：601 / 620
页数：19
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