Photo from wikipedia
In this paper we introduce, for the first time in the literature, a three-stages two-step method. The new algorithm has the following characteristics: (1) it is a two-step algorithm, (2)… Click to show full abstract
In this paper we introduce, for the first time in the literature, a three-stages two-step method. The new algorithm has the following characteristics: (1) it is a two-step algorithm, (2) it is a symmetric method, (3) it is an eight-algebraic order method (i.e of high algebraic order), (4) it is a three-stages method, (5) the approximation of its first layer is done on the point $$x_{n-1}$$xn-1 and not on the usual point $$x_{n}$$xn, (6) it has eliminated the phase–lag and its derivatives up to order two, (7) it has good stability properties (i.e. interval of periodicity equal to $$\left( 0, 22 \right) $$0,22. For this method we present a detailed analysis : development, errorand stability analysis. The new proposed algorithm is applied to systems of differential equations of the Schrödinger type in order to examine its efficiency.
Journal Title: Journal of Mathematical Chemistry
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!