1D MLSM and FDM comparison: Difference between revisions
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Created page with "A sample Dirichlet or Neumann problem <math> \begin{align*} f''(x) &= 2x^2+5 \text{ on } (0, 1)\\ f(0) &= 0 \\ f(1) &= 1 \end{align*} </math>" |
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A sample Dirichlet or Neumann problem | A sample Dirichlet or Neumann problem <br> | ||
<math> | <math> | ||
\begin{align*} | \begin{align*} | ||
f''(x) &= 2x^2+5 \text{ on } (0, 1)\\ | f''(x) &= 2x^2+5 \text{ on } (0, 1) & f''(x) &= 2x^2+5 \text{ on } (0, 1) \\ | ||
f(0) &= 0 \\ | f(0) &= 1 & f'(0) &= 1 \\ | ||
f(1) &= 1 | f(1) &= 1 & f(1) &= 1 \\ | ||
f(x) &= \frac{1}{6} \left(x^4+15 x^2-16 x+6\right) & f(x) &= \frac{1}{6} \left(x^4+15 x^2+6 x-16\right) | |||
\end{align*} | \end{align*} | ||
</math> | </math> | ||
Revision as of 09:29, 13 March 2017
A sample Dirichlet or Neumann problem
<math>
\begin{align*}
f(x) &= 2x^2+5 \text{ on } (0, 1) & f(x) &= 2x^2+5 \text{ on } (0, 1) \\
f(0) &= 1 & f'(0) &= 1 \\
f(1) &= 1 & f(1) &= 1 \\
f(x) &= \frac{1}{6} \left(x^4+15 x^2-16 x+6\right) & f(x) &= \frac{1}{6} \left(x^4+15 x^2+6 x-16\right)
\end{align*} </math>