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A fourth-order compact difference scheme with unequal mesh sizes in different coordinate directions is employed to discretize a two-dimensional Poisson equation in a rectangular domain.
A fourth-order compact difference discretization scheme with unequal meshsizes in different coordinate directions is employed to solve a three-dimensional (3D) Poisson equation on a cubic domain.
A linearized compact difference scheme is constructed.
A fully discrete difference scheme is constructed with space discretization by compact difference method.
A new three-point combined compact difference (CCD) scheme is developed for numerical models.
Then the global convergence order O τ2−γ+h4) of the compact difference scheme is proved.
Compact difference schemes have been used extensively for solving the incompressible Navier Stokes equations.
Using the discrete energy method, we prove the compact difference scheme is unconditionally stable and convergent.
The finite compact difference scheme takes the region between two shocks as a compact stencil.
Compact difference method two must solve an algebraic nonlinear equation obtained by Pantazopoulos (1998) at every time step.
A combined compact difference scheme is developed for non-periodic problems (called NCCD henceforth) that simultaneously evaluates first and second derivatives, improving an existing combined compact difference (CCD) scheme.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com