@article{MAKHILLAJIT2007695449,
    title = {Symmetric Extended Wavelets and One Dimension Schrodinger Equation},
    journal = {Asian Journal of Information Technology},
    volume = {6},
    number = {9},
    pages = {970-973},
    year = {2007},
    issn = {1682-3915},
    doi = {ajit.2007.970.973},
    url = {https://makhillpublications.co/view-article.php?issn=1682-3915&doi=ajit.2007.970.973},
    author = {Hossein Parsian and},
    keywords = {Schrodinger equation,wavelets,operational method,one dimension,symmetric extended},
    abstract = {In this research, we present a numerical solution for schrodinger equation. This method is based on generalized Legendre wavelets and generalized operational matrices. Generalized Legendre wavelets are a complete orthogonal set on the interval [-s, s] (s is a real large positive number.) The mother function of generalized Legendre wavelets are generalized legendre functions. Generalized Legendre functions are an orthogonal set on the interval [-s, s]. The schrodinger equation is equal to a variational problem and we convert the variational problem to a non linear algebraic equations. From the solving of algebraic equation to get the eigen-states of schrodinger equation. We applied this method to one dimension nonlinear oscillator (V(x) = 1/2kx<SUP>n</SUP>, -  < x <  ) and to get the eigen-states of oscillator for various n. For n = 2, the oscillator is linear and there is an exact solution for its. The results for n = 2 demonstrate the validity of this solution.}
    }