Original scientific paper
Convergence behaviour for numerical integration of differential equations by Runge-Kutta and Renormalized Numerov methods
Apurba Kumar Ghosh
; Physics Department, Burdwan University, Burdwan, W. B. 713104, India
Tapan K. Das
; Physics Department, Burdwan University, Burdwan, W. B. 713104, India
Abstract
Convergence behaviours of Runge-Kutta (RK) and Renormalized Numerov (RN) methods of integrating differential eigenvalue equation have been investigated. 3s1 state of deuteron has been solved with Afnan Tang S3 potential. Although RN method is much faster than RK method, the former has a peculiar convergence behaviour, viz, binding energy (BE) decreases as step size decreases. Choice of asymptotically exponential wave function improves BE over the usually adodted sharp cut off form.
Keywords
Hrčak ID:
331157
URI
Publication date:
2.2.1987.
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