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Regular version of the site

Article

Compact difference scheme for parabolic and Schrodinger-type equations with variable coeffcients

Journal of Computational Physics. 2018. Vol. 375. P. 1451-1468.
Tsymbalov E. A., Gordin V. A.

We develop a new compact scheme for second-order PDE (parabolic and Schrodinger type) with a variable time-independent coecient. It has a higher order and smaller error than classic implicit scheme. The Dirichlet and Neumann boundary problems are considered. The relative nite-di erence operator is almost self-adjoint.