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Betul Hicdurmaz. (2021) Finite difference schemes for time-fractional Schrödinger equations via fractional linear multistep method. International Journal of Computer Mathematics 98:8, pages 1561-1573.
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Articles from other publishers (21)
Allaberen Ashyralyev, Ali Sirma & Charyyar Ashyralyyev. (2022) Highly accurate difference schemes for time‐nonlocal Schrodinger type problems. Numerical Methods for Partial Differential Equations 39:3, pages 2584-2599.
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Fan Yang, Jun‐Liang Fu & Xiao‐Xiao Li. (2020) A potential‐free field inverse time‐fractional Schrödinger problem: Optimal error bound analysis and regularization method. Mathematical Methods in the Applied Sciences 44:2, pages 1219-1251.
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Allaberen Ashyralyev & Twana Abbas. On the boundedness of the Schrödinger type differential equation with time involution. On the boundedness of the Schrödinger type differential equation with time involution.
Allaberen Ashyralyev & Ali Sirma. A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem. A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem.
Allaberen Ashyralyev & Twana Hidayat. (2020) A Numerical Algorithm for the Schrödinger Type Differential Equation with Time Involution. Journal of Zankoy Sulaimani - Part A 22:2, pages 157-162.
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Allaberen Ashyralyev & Betul Hicdurmaz. (2020) Bounded Solutions of Second Order of Accuracy Difference Schemes for Semilinear Fractional Schrödinger Equations. Fractional Calculus and Applied Analysis 23:6, pages 1723-1761.
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Marwan Al-Raeei & Moustafa Sayem El-Daher. (2020) An algorithm for fractional Schrödinger equation in case of Morse potential. AIP Advances 10:3.
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Allaberen Ashyralyev & Deniz Agirseven. (2020) On the Stable Difference Schemes for the Schrödinger Equation with Time Delay. Computational Methods in Applied Mathematics 20:1, pages 27-38.
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Roberto Garrappa, Igor Moret & Marina Popolizio. (2017) On the time-fractional Schrödinger equation: Theoretical analysis and numerical solution by matrix Mittag-Leffler functions. Computers & Mathematics with Applications 74:5, pages 977-992.
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Betul Hicdurmaz & Allaberen Ashyralyev. (2016) A stable numerical method for multidimensional time fractional Schrödinger equations. Computers & Mathematics with Applications 72:6, pages 1703-1713.
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Ali H. Bhrawy, Jameel F. Alzaidy, Mohamed A. Abdelkawy & Anjan Biswas. (2016) Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrödinger equations. Nonlinear Dynamics 84:3, pages 1553-1567.
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Ali Demir, Fatma Kanca & Ebru Ozbilge. (2015) Numerical solution and distinguishability in time fractional parabolic equation. Boundary Value Problems 2015:1.
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Ebru Ozbilge & Ali Demir. (2015) Inverse problem for a time-fractional parabolic equation. Journal of Inequalities and Applications 2015:1.
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A.H. Bhrawy & M.A. Abdelkawy. (2015) A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations. Journal of Computational Physics 294, pages 462-483.
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Roberto Garrappa, Igor Moret & Marina Popolizio. (2015) Solving the time-fractional Schrödinger equation by Krylov projection methods. Journal of Computational Physics 293, pages 115-134.
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Uğur Kadak & Muharrem Özlük. (2015) Generalized Runge-Kutta Method with respect to the Non-Newtonian Calculus. Abstract and Applied Analysis 2015, pages 1-10.
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Abdullah Said Erdogan & Ali Ugur Sazaklioglu. (2014) A note on the numerical solution of an identification problem for observing two-phase flow in capillaries. Mathematical Methods in the Applied Sciences 37:16, pages 2393-2405.
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Allaberen Ashyralyev & Mesut Urun. (2013) Determination of a Control Parameter for the Difference Schrödinger Equation. Abstract and Applied Analysis 2013, pages 1-8.
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