SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 606-624 (19 pages) In this paper, we consider an inverse problem for identifying the fractional derivative indices in a two-dimensional ...

Vol. 24, No. 3, SPECIAL ISSUE DEDICATED TO THE 70TH BIRTHDAY OF PROFESSOR LIN QUN (MAY 2006), pp. 252-264 (13 pages) In this work, we propose an efficient numerical method for computing the ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...