Highly accurate difference schemes for time-nonlocal Schrodinger type problems
Ashyralyev A. Sirma A. Ashyralyyev C.
May 2023John Wiley and Sons Inc
Numerical Methods for Partial Differential Equations
2023#39Issue 32584 - 2599 pp.
In this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.
difference schemes , Schrodinger problem , stability
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Department of Mathematics, Bahcesehir University, Istanbul, Turkey
Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Industrial Engineering, Haliç University, Istanbul, Turkey
Department of Mathematics, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
Department of Mathematics
Peoples Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Department of Industrial Engineering
Department of Mathematics
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