Before revision: We present a new higher-order accurate finite difference explicit jump Immersed Interface Method ( EJIIM ) for solving two-dimensional elliptic problems with singular source and discontinuous coefficients in the irregular region on a compact Cartesian mesh.
After revision: We present a new higher-order accurate finite difference explicit jump Immersed Interface Method ( HEJIIM ) for solving two-dimensional elliptic problems with singular source and discontinuous coefficients in the irregular region on a compact Cartesian mesh.