Environmental Engineering Reference
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Further taking another equal step backward with (5.36) as the initial
conditions yields
The error is obtained from
The relative error is
As compared with the error of the two-step
algorithm presented earlier, which is given by
no improvement in
accuracy is achieved.
3.4 Two-Step Algorithm for Linear Circuits
The above two-step algorithm is applicable to both linear and nonlin-
ear circuits. For linear circuits, the consistent initial conditions can be
obtained as follows. Assume that switching occurs at
and the
initial condition of the circuit is given by
In the forward step,
Eq.(5.17) becomes
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