Nested meshes for numerical approximation of space fractional differential equations
Department of Engineering Mechanics, Hohai University, Nanjing 210098, PR China
Revised: 27 January 2011
Published online: 4 April 2011
In this study, we use the nested meshes to approximate the space fractional differential equations. Two approaches are used to approximate the second order derivative. It is obvious that the nested meshes method is more effective in solving large scale problems. Matrix building and how to introduce the boundary condition are both presented. Two examples are given to show the effects of the number of subdivisions in each nested interval on the accuracy in different cases of various domain scales.
© EDP Sciences, Springer-Verlag, 2011