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==Backward difference==
This is an example of an implicit method since the unknown ''u''(''n'' + 1) has been used in evaluating the slope of the solution on the right hand side; this is not a problem to solve for ''u''(''n'' + 1) in this scalar and linear case. For more complicated situations like a nonlinear right hand side or a system of equations, a nonlinear system of equations may have to be inverted.
==References==
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