@Article{EAJAM-4-3, author = {}, title = {High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions}, journal = {East Asian Journal on Applied Mathematics}, year = {2014}, volume = {4}, number = {3}, pages = {222--241}, abstract = {

A compact finite difference scheme is derived for a time fractional differential equation subject to Neumann boundary conditions. The proposed scheme is second-order accurate in time and fourth-order accurate in space. In addition, a high order alternating direction implicit (ADI) scheme is also constructed for the two-dimensional case. The stability and convergence of the schemes are analysed using their matrix forms.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.281013.300414a}, url = {https://global-sci.com/article/82803/high-order-difference-schemes-for-a-time-fractional-differential-equation-with-neumann-boundary-conditions} }