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It writes the PDE at the point u(x, t- /2), using linear interpolations in of all derivatives, and thus involves the six points u(x- x, - ), u(x, - ), and u(x+ x, - (all known), along with u(x- x, ), u(x, ), and u(x+ x, ) (all unknown). In effect, this leads to a method that is an average of the forward and backward Euler methods, with the ... ................
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