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Adding local short description: "Mathematical method for approximating solutions to differential and integral equations", overriding Wikidata description "used in mathematics to solve differential and integral equations" |
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The corresponding (polynomial) collocation method approximates the solution ''y'' by the polynomial ''p'' of degree ''n'' which satisfies the initial condition <math>p(t_0) = y_0</math>, and the differential equation <math>p'(t_k) = f(t_k,p(t_k)) </math>
at all ''collocation points'' <math>t_k = t_0 + c_k h</math> for <math>k = 1, \ldots, n</math>. This gives ''n'' + 1 conditions, which matches the ''n'' + 1 parameters needed to specify a polynomial of degree ''n''.
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