پديدآورندگان :
Shokri Ali shokri@maragheh.ac.ir Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran , Karami Zohreh karamiiizohreh@gmail.com Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran , ghorbanian Leyla Leyla.ghorbanian6994@gmail.com Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran
كليدواژه :
Phase , lag , Initial value problems , Oscillating solution , Multistep , Schrödinger equation.
چكيده فارسي :
In this paper, we present a new symmetric explicit trigonometrically fitted four-step method
of eight algebraic order. The method is based on the symmetric multistep method of Quinlan
Tremaine, and is constructed to solve numerically the radial time-independent Schrodinger
equation during the resonance problem with the use of the Woods-Saxon potential. It can
also be used to integrate related IVPs with oscillating solutions such as orbital problems. We
compare the new method to some recently constructed optimized methods from the literature
