Fourth-order compact FDMs are derived for convection-diffusion-reaction equations on arbitrary curved domains via Cartesian meshes, with explicit stencils for regular and irregular points yielding high accuracy and fourth-order rates on high-curvature boundaries.
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Efficient and simple fourth-order compact finite difference methods for convection-diffusion-reaction equations on arbitrary curved domains
Fourth-order compact FDMs are derived for convection-diffusion-reaction equations on arbitrary curved domains via Cartesian meshes, with explicit stencils for regular and irregular points yielding high accuracy and fourth-order rates on high-curvature boundaries.