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The Heat Equation

2014
The problem of finding the steady state solution of the heat equation on the unit square, a basic example of the Dirichlet problem, is solved, and in the process ideas and theorems are developed, which are applicable to a broad range of mathematical problems.
Theodore Hromadka, Robert Whitley
openaire   +1 more source

The Heat Equation

1986
The most frequently encountered equation of parabolic type is the heat or diffusion equation, which is the subject of this chapter. Our setting is again a region in En, but in addition a new variable t, which may be thought of as time, also appears. Consequently the type of problem to be studied is not a boundary value problem, as it was with Laplace’s
openaire   +1 more source

Linear barycentric rational collocation method for solving heat conduction equation

Numerical Methods for Partial Differential Equations, 2021
Jin Li, Yongling Cheng
exaly  

A remark on the heat-equation

Journal d'Analyse Mathématique, 1965
openaire   +1 more source

FRACTIONAL HEAT CONDUCTION EQUATION AND ASSOCIATED THERMAL STRESS

Journal of Thermal Stresses, 2004
Yuriy Povstenko
exaly  

Uncertain partial differential equation with application to heat conduction

Fuzzy Optimization and Decision Making, 2016
Xiangfeng Yang   +2 more
exaly  

Boundary Feedback Stabilization of an Unstable Heat Equation

SIAM Journal on Control and Optimization, 2003
Weijiu Liu
exaly  

Thermoelasticity that uses fractional heat conduction equation

Journal of Mathematical Sciences, 2009
Yuriy Povstenko
exaly  

The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs

Inventiones Mathematicae, 1986
Jean-Michel Bismut, Bismut Jean-Michel
exaly  

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