List questions from heat-equation

Published on 25 Mar 2026 - 3:03

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The general solution to the heat equation

Published on 10 Apr 2026 - 18:28

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Properties of the 1-d Heat Kernel

Published on 11 Apr 2026 - 0:15

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Bound for Parabolic PDE

Published on 15 Apr 2026 - 0:31

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Heat equation - solving with Laplace transform

Published on 11 Apr 2026 - 13:42

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Verify that $ u(x,t) = \int_{-\infty}^{\infty} U(x-y,t)g'(y) \, dy $ is a solution of the heat equation

Published on 10 May 2026 - 13:51

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Maximum Principle for a Diffusion Equation

Published on 29 Apr 2026 - 12:56

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How to solve: $t \cdot \frac{\partial^2v(x,t)}{\partial x^2}=-x \cdot \frac{\partial v(x,t)}{\partial t}$?

Published on 15 Apr 2026 - 21:01

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Use separation of variables to solve heat equation

Published on 10 Apr 2026 - 8:14

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How to use Fourier cosine series to find coefficients of cos((2n+1) π x/L) series?

Published on 11 Apr 2026 - 11:48

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Nondimensionalising and solving the heat equation with forcing term

Published on 11 Apr 2026 - 12:17

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Solving the one-dimensional heat equation in an infinite rod by separation of variables and comparing to Fourier Transform

Published on 10 Apr 2026 - 18:28

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What are the differences between these two boundary conditions?

Published on 25 Mar 2026 - 4:36

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Definition of weak solution of heat equation?

Published on 09 Apr 2026 - 8:51

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Stability in Numerical Heat Equation

Published on 09 Apr 2026 - 7:08

List Question

is it possible to have $u(1,t) = 10$ and $u(x,0) = x^2$ for $x \in [0,1]$? (heat equation)

The general solution to the heat equation

Properties of the 1-d Heat Kernel

Bound for Parabolic PDE

Heat equation - solving with Laplace transform

Verify that $ u(x,t) = \int_{-\infty}^{\infty} U(x-y,t)g'(y) \, dy $ is a solution of the heat equation

Maximum Principle for a Diffusion Equation

How to solve: $t \cdot \frac{\partial^2v(x,t)}{\partial x^2}=-x \cdot \frac{\partial v(x,t)}{\partial t}$?

Use separation of variables to solve heat equation

How to use Fourier cosine series to find coefficients of cos((2n+1) π x/L) series?

Nondimensionalising and solving the heat equation with forcing term

Solving the one-dimensional heat equation in an infinite rod by separation of variables and comparing to Fourier Transform

What are the differences between these two boundary conditions?

Definition of weak solution of heat equation?

Stability in Numerical Heat Equation

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