Approximate Solutions of Nonlinear Heat Equation for Given Flow

2005/08/01 by Mikhail A. Chmykhov, Nikolai A. Kudryashov
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as Proceedings of the XXXIII Summer School Advanced Problems in Mechanics APM' 2005, St.Petersburg, 2005 · 7 pages, 1 figure

arxiv created 2005/08/01 · arxiv updated 2009/12/01

Abstract

The one-dimensional problem of the nonlinear heat equation is considered. We assume that the heat flow in the origin of coordinates is the power function of time and the initial temperature is zero. Approximate solutions of the problem are given. Convergence of approximate solutions is discussed.

Related

• A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
• Blow-up in Nonlinear Heat Equations
• Convergence and Divergence of Approximations in terms of the Derivatives of Heat Kernel
• Numerical Solution of a parabolic system with blowup of the solution
• A new stability results for the backward heat equation