Mercurial > repos > public > sbplib
comparison stencilEquation.m @ 660:184833fe4c0e feature/grids
Add monomial, vandermonde and stencil cretation tools
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Tue, 14 Nov 2017 16:46:07 +0100 |
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| children |
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| 659:11a39b274260 | 660:184833fe4c0e |
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| 1 % Find the equation for the stencil for d^k/dx^k | |
| 2 function [A,b] = stencilEquation(k, offsets, order) | |
| 3 q = sym('q', [1, length(offsets)]); | |
| 4 | |
| 5 p = 0:(order-1+k); | |
| 6 | |
| 7 v = vandermonde(offsets, p); | |
| 8 vdiff = vandermonde( 0, p-k); | |
| 9 | |
| 10 eq = q*v == vdiff; | |
| 11 | |
| 12 [A,b] = equationsToMatrix(eq, q); | |
| 13 end |