SIMPLE AND ACCURATE EXPLICIT BESSEL AND NEUMANN FITTED METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION
2000 ◽
Vol 11
(01)
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pp. 79-89
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Keyword(s):
Explicit second and fourth algebraic order methods for the numerical solution of the Schrödinger equation are developed in this paper. The new methods have free parameters defined so that the methods are fitted to spherical Bessel and Neumann functions. Based on these new methods we obtained a variable-step algorithm. The results produced based on the numerical solution of the radial Schrödinger equation and the coupled differential equations arising from the Schrödinger equation indicate that this new approach is more efficient than other well known ones.
2000 ◽
Vol 11
(04)
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pp. 785-807
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2016 ◽
Vol 54
(9)
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pp. 1835-1862
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Keyword(s):
2006 ◽
Vol 40
(3)
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pp. 269-293
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2005 ◽
Vol 42
(7-8)
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pp. 887-902
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1995 ◽
Vol 10
(16)
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pp. 2431-2438
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2013 ◽
Vol 24
(10)
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pp. 1350073
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2000 ◽
Vol 11
(06)
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pp. 1115-1133
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1997 ◽
Vol 12
(26)
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pp. 1891-1900
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2005 ◽
Vol 175
(1)
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pp. 161-172
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2000 ◽
Vol 11
(06)
◽
pp. 1195-1208
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Keyword(s):