A Parametric Method Optimised for the Solution of the (2+1)-Dimensional Nonlinear Schrödinger Equation
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- N. A. Ahmad & N. Senu & F. Ismail, 2017. "Phase-Fitted and Amplification-Fitted Higher Order Two-Derivative Runge-Kutta Method for the Numerical Solution of Orbital and Related Periodical IVPs," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-11, February.
- Yonglei Fang & Yanping Yang & Xiong You & Lei Ma, 2020. "Modified THDRK methods for the numerical integration of the Schrödinger equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-11, October.
- Vladislav N. Kovalnogov & Ruslan V. Fedorov & Yuri A. Khakhalev & Theodore E. Simos & Charalampos Tsitouras, 2021. "A Neural Network Technique for the Derivation of Runge–Kutta Pairs Adjusted for Scalar Autonomous Problems," Mathematics, MDPI, vol. 9(16), pages 1-10, August.
- Houssem Jerbi & Sondess Ben Aoun & Mohamed Omri & Theodore E. Simos & Charalampos Tsitouras, 2022. "A Neural Network Type Approach for Constructing Runge–Kutta Pairs of Orders Six and Five That Perform Best on Problems with Oscillatory Solutions," Mathematics, MDPI, vol. 10(5), pages 1-10, March.
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Keywords
(2+1)-dimensional nonlinear Schrödinger equation; partial differential equations; parametric Runge–Kutta method; coefficient optimisation; global error;All these keywords.
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