Abstract
This chapter formulates and analyzes modification of the standard Crank–Nicolson difference scheme for quasilinear partial differential K (y, t, w, ∂w/∂x) ∂w/∂t = ∂2/∂x2 + f (x, t, w, ∂w/∂x), which requires approximately half the number of evaluations of the functions K and f as the predictor-corrector methods.
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