Question

Does accuracy of the numerical solution of a PDE depend on the scaling of the variables?

score 82 · Answer 1 · 2026-03-24 20:46:41

82

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Does accuracy of the numerical solution of a PDE depend on the scaling of the variables?

Published on 24 Mar 2026 - 20:46

score 769 · Answer 2 · 2018-03-30 04:57:02

769

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Heat Equation (Partial Differential Equation) - Fourier Transform Solution Form.

Published on 30 Mar 2018 - 4:57

score 392 · Answer 3 · 2018-03-31 11:22:35

392

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Laplace transform of heat equation in spherical coordinates

Published on 31 Mar 2018 - 11:22

score 51 · Answer 4 · 2018-04-02 08:05:52

51

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Show that $u^2$ satisfies $\partial_t(u^2) = 2k[\partial_x(u\partial_xu) - (\partial_x u)^2]$

Published on 02 Apr 2018 - 8:05

score 53 · Answer 5 · 2018-04-02 10:49:34

53

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Show that the norm $N_1(t) = \int_0^L(u(x,t) - u_0)^2dx$ is monotonically decreasing in time.

Published on 02 Apr 2018 - 10:49

score 65 · Answer 6 · 2026-03-22 00:18:13

65

Views

How to inverse a Fourier series?

Published on 22 Mar 2026 - 0:18

score 2k · Answer 7 · 2026-03-22 07:23:08

2k

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Understanding Duhamel's principle, PDE

Published on 22 Mar 2026 - 7:23

score 610 · Answer 8 · 2018-04-08 21:59:20

610

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Solve heat equation with nonlinear term in matlab - Does my solution look reasonable?

Published on 08 Apr 2018 - 21:59

score 205 · Answer 9 · 2026-03-22 10:04:48

205

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Calculation/Verification of an integral kernel for $\operatorname{e}^{t\Delta}(1-\Delta)^{-\frac{1}{4}}$

Published on 22 Mar 2026 - 10:04

score 110 · Answer 10 · 2026-03-24 01:05:32

110

Views

Heat Equation with Antiperiodic BCs

Published on 24 Mar 2026 - 1:05

score 173 · Answer 11 · 2018-04-13 22:42:38

173

Views

1d PDE's on infinite Domains using fundamental solutions.

Published on 13 Apr 2018 - 22:42

score 130 · Answer 12 · 2018-04-14 08:59:30

130

Views

why is the ratio $\frac{r^2}{t}$ important for solving the heat equation?

Published on 14 Apr 2018 - 8:59

score 162 · Answer 13 · 2026-03-21 23:53:03

162

Views

Heat Equation with Inequality

Published on 21 Mar 2026 - 23:53

score 319 · Answer 14 · 2026-03-22 10:20:20

319

Views

Solving Heat Equation with Transport Term

Published on 22 Mar 2026 - 10:20

score 167 · Answer 15 · 2018-04-19 19:34:04

167

Views

Find extension into higher dimensions for a matrix equation representing finite difference formulation of the heat equation

Published on 19 Apr 2018 - 19:34

List Question

Does accuracy of the numerical solution of a PDE depend on the scaling of the variables?

Heat Equation (Partial Differential Equation) - Fourier Transform Solution Form.

Laplace transform of heat equation in spherical coordinates

Show that $u^2$ satisfies $\partial_t(u^2) = 2k[\partial_x(u\partial_xu) - (\partial_x u)^2]$

Show that the norm $N_1(t) = \int_0^L(u(x,t) - u_0)^2dx$ is monotonically decreasing in time.

How to inverse a Fourier series?

Understanding Duhamel's principle, PDE

Solve heat equation with nonlinear term in matlab - Does my solution look reasonable?

Calculation/Verification of an integral kernel for $\operatorname{e}^{t\Delta}(1-\Delta)^{-\frac{1}{4}}$

Heat Equation with Antiperiodic BCs

1d PDE's on infinite Domains using fundamental solutions.

why is the ratio $\frac{r^2}{t}$ important for solving the heat equation?

Heat Equation with Inequality

Solving Heat Equation with Transport Term

Find extension into higher dimensions for a matrix equation representing finite difference formulation of the heat equation

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