@Article{EAJAM-8-634, author = {}, title = {Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {4}, pages = {634--655}, abstract = {

The artificial boundary method is used to reformulate the time fractional Schrödinger equation on the real line as a bounded problem with exact artificial boundary conditions. The problem appeared is solved by a numerical method employing the L1-formula for the Caputo derivative and finite differences for spatial derivatives. The convergence of the method studied and optimal error estimates in a special metric are obtained. The technique developed here can be also applied to study the convergence of approximation methods for standard Schrödinger equation.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.190218.150718}, url = {http://global-sci.org/intro/article_detail/eajam/12812.html} }