Local spectral time splitting method for first-and second-order partial differential equations

A family of local spectral evolution kernels (LSEKs) are derived for analytically integrating a class of partial differential equations (PDEs) 0021-9 doi:10. * Co E-m o ot u 1⁄4 AðtÞ o 2 ox2 þ BðtÞ o ox þ CðtÞ u: The LSEK can solve the above PDEs with x-independent coefficients in a single step. They are utilized in operator splitting schemes to arrive at a… (More)