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math-ph2017★ 12 cited
Compact difference scheme for parabolic and Schrödinger-type equations with variable coefficients
Vladimir Gordin, Evgenii Tsymbalov
We develop a new compact scheme for second-order PDE (parabolic and Schrödinger type) with a variable time-independent coefficient. It has a higher order and smaller error than cla…
math-ph2017★ 1 cited
Compact difference schemes for weakly-nonlinear parabolic and Schrodinger-type equations and systems
Vladimir Gordin, Evgenii Tsymbalov
The implicit compact finite-difference scheme was developed for evolutionary partial differential parabolic and Schrödinger-type equations and systems with a weak nonlinearity. To…