M. Saravi and F. Ashrafi and S.R. Mirrajei
Numerical Solution of Linear Ordinary Differential Equations in Quantum Chemistry by Clenshaw Method
57 - 60
2009
3
1
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10826
https://publications.waset.org/vol/25
World Academy of Science, Engineering and Technology
As we know, most differential equations concerning
physical phenomenon could not be solved by analytical method. Even if we use Series Method, some times we need an appropriate change of variable, and even when we can, their closed form solution may be
so complicated that using it to obtain an image or to examine the structure of the system is impossible. For example, if we consider Schrodinger equation, i.e.,
We come to a threeterm recursion relations, which work with it takes, at least, a little bit time to get a series solution6. For this
reason we use a change of variable such as or when we consider the orbital angular momentum1, it will be
necessary to solve. As we can observe, working with this equation is tedious. In this paper, after introducing Clenshaw method, which is a kind of Spectral method, we try to solve some of such equations.
Open Science Index 25, 2009