id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-856	Gorial, I. I.	Explicit Finite Difference Approximation for the TwoDimensional Fractional Dispersion Equation	2016	7	.pdf	application/pdf	2688	88	64	Now, we evaluate eq.(1) at (x i, y j, t s) and we use the explicit finite difference approximation to get ),,( ),,( ),( ),,( ),( ),,(),,( 1 sji sji ji sji ji sjisji tyxq y tyxu yxb x tyxu yxa t tyxutyxu              …..(4) (6) where ),,(, sji s ji tyxuu  , ),(, jiji yxaa  , ),(, jiji yxbb  , ),,(, sji s ji tyxqq  , ! )1()1( )1(, k k g k k      , k=0,1,2,… and ! )1()1( )1(, k k g k k      , k=0,1,2,… The resulting equation can be explicitly solved for 1 , s jiu to give s ji s ji s kji j k kji i k s jkikji s ji utqug y t bug x t au ,,1, 1 0 ,, 1 0 ,1,, 1 ,                 ...............(7) Also form the initial condition and boundary conditions one can get IBN AL- HAITHAM J. FO R PURE & APPL.	cache/iajs-856.pdf	txt/iajs-856.txt