2020
DOI: 10.3390/math8030374
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Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients

Abstract: Motivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge-Kutta pair with improved periodicity and stability characteristics. Additionally, we develop a modified step size control algorithm, which increases the efficiency of our pair and all other pairs included in the numerical experiments. The numerical results on the nonlinear Schrödinger equation with a periodic solution… Show more

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Cited by 4 publications
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