Article ID Journal Published Year Pages File Type
519470 Journal of Computational Physics 2011 14 Pages PDF
Abstract

Combining order reduction approach and L1 discretization, a box-type scheme is presented for solving a class of fractional sub-diffusion equation with Neumann boundary conditions. A new inner product and corresponding norm with a Sobolev embedding inequality are introduced. A novel technique is applied in the proof of both stability and convergence. The global convergence order in maximum norm is O(τ2−α + h2). The accuracy and efficiency of the scheme are checked by two numerical tests.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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