view stencilEquation.m @ 986:a32856fc2ad2 feature/timesteppers

Rename butcherTableau() to butcherTableauFromStr() in preparation of butcher tableau class
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 08 Jan 2019 13:28:41 +0100
parents 184833fe4c0e
children
line wrap: on
line source

% Find the equation for the stencil for d^k/dx^k
function [A,b] = stencilEquation(k, offsets, order)
    q = sym('q', [1, length(offsets)]);

    p = 0:(order-1+k);

    v     = vandermonde(offsets, p);
    vdiff = vandermonde(      0, p-k);

    eq = q*v == vdiff;

    [A,b] = equationsToMatrix(eq, q);
end