شماره ركورد كنفرانس :
5263
عنوان مقاله :
HIGH-ORDER COMPACT FINITE DIFFERENCE FOR THE NUMERICAL SOLUTION OF ONE-DIMENSIONAL FRACTIONAL RAYLEIGH-STOKES EQUATION
پديدآورندگان :
Fazayel Mahdiehalsadat m.fazayel@aut.ac.ir Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave.,15914, Tehran, Iran , Dehghan Mehdi mdehghan@aut.ac.ir Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave.,15914, Tehran, Iran
كليدواژه :
High , order compact finite difference , Rayleigh , Stokes Equation , Fractional partial differential equation , Caputo fractional derivative
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In the present paper, compact finite difference technique is applied to solve the Rayleigh-Stokes equation in onedimensional case. The time fractional derivative is approximated by the second-order weighted and shifted Gr¨unwald difference (WSGD) formula. This study employs Crank-Nicolson and compact finite difference schemes to discretize the temporal and spatial derivatives, respectively. Finally, the efficiency of proposed method demonstrated by numerical experiment which validates the expected order of accuracy of presented method O(τ^2 + h^4).
