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We develop a new two level finite difference scheme for the 1D PennesÕ bioheat equation. We further prove that the scheme is stable and convergent unconditionally. Numerical experiments for a skin-heating model are conducted.
We derive truncation error representation for the sixth order combined compact diierence (CCD) scheme for discretizing a one dimensional partial diierential equation. We also show that, for a model one dimensional convection diiusion equation, the CCD scheme produces numerical oscillatory solution, when the cell Reynolds number condition is violated.… (More)