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Finite Integration Method for Two and Three Dimensions Linear Schrödinger Equation | ||
| Journal of College of Education for Pure Science | ||
| Article 1, Volume 7, Issue 2, 2017, Pages 52-74 | ||
| Author | ||
| Ahmed Jabbar Hussein | ||
| Abstract | ||
| In this paper,Finite IntegrationMethod with Ordinary Linear Approach(FIM-OLA) (uniform distribution of nodes) to find approximate analytical solution of two and three dimensional linear unsteady Schrödinger equation is presented.We use simpson1/3 rule with Trapezoidal rule for two dimensions (n is even for simpson1/3) and simpson3/8 with Trapezoidal rule for three diminution (n divided by 3 for simpson3/8 ) . The method was compared with the finite differences methods in the aspects accuracy and error . The results show that the finite integration method is more accurate and has more convergence than the finite differences methods in literature. | ||
| Keywords | ||
| Finite integration method; Schr; Absolute error and Laplace transformation | ||
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