Sentence examples for heat equation problem from inspiring English sources

Numerical simulation results are presented for a linear and a nonlinear one-dimensional heat equation problem.

The objective of this paper is to describe a grid-efficient parallel implementation of the Aitken Schwarz waveform relaxation method for the heat equation problem.

A standard example is the linear three dimensional heat equation problem discretized with a seven point scheme on a regular Cartesian grid.

In this article, we give explicit solutions and analyze how to control them through the source term for several non-classical heat equation problems.

We focus on the relativistic heat equation as a model problem of the mentioned limited diffusion Fokker Planck equations.

The problem (P6) can be considered a non-classical moving boundary problem for the heat equation as a generalization of the moving boundary problem for the classical heat equation [13] which can be useful in the study of free boundary problems for the heat-diffusion equation [12].

Due to the properties of the solutions of the boundary value problem for the heat equation in Ω 0 and the Darboux problem, by using the representations (6) and (9), we conclude that u n ∈ W for all f n ∈ C 0 1.

Finally, a relationship between the problem considered here with another non-classical problem for the heat equation is established, and explicit solutions for this second problem are also obtained.

We present a novel and efficient method for solving the Poisson equation, the heat equation, and Stefan-type problems with Robin boundary conditions over potentially moving, arbitrarily-shaped domains.

In this paper we consider the inverse time problem for the axisymmetric heat equation which is a severely ill-posed problem.

Tello [8] and Ioku [9] considered the Cauchy problem of heat equation with f ( u ) ≈ e u 2 for | u | ≥ 1.