A New Optimized Runge-Kutta Pair for the Numerical Solution of the Radial Schrödinger Equation | Zendy

Yonglei Fang | Zendy; Qinghong Li | Zendy; Qinghe Ming | Zendy; Kaimin Wang | Zendy

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A New Optimized Runge-Kutta Pair for the Numerical Solution of the Radial Schrödinger Equation

Author(s) -

Yonglei Fang,

Qinghong Li,

Qinghe Ming,

Kaimin Wang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/641236

Subject(s) - phase lag , mathematics , integrator , runge–kutta methods , robustness (evolution) , algebraic number , lag , numerical integration , schrödinger equation , mathematical analysis , phase (matter) , numerical analysis , quantum mechanics , physics , computer science , computer network , biochemistry , chemistry , voltage , gene

A new embedded pair of explicit modified Runge-Kutta (RK) methods for thenumerical integration of the radial Schrödinger equation is presented. The two RKmethods in the pair have algebraic orders five and four, respectively. The two methodsof the embedded pair are derived by nullifying the phase lag, the first derivative ofthe phase lag of the fifth-order method, and the phase lag of the fourth-order method. Nu merical experiments show the efficiency and robustness of our new methods comparedwith some well-known integrators in the literature

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