id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-476	Kubba, Reem. M.	Numerical Solutions Of The Nonlocal Problems For The Diffusion Partial Differential Equations	2017	14	.pdf	application/pdf	4326	157	73	To do this, we use the forward finite difference approximation for the Neumann condition given by equation (1.e) to get: 𝑢0,𝑗 = 𝑢1,𝑗 − ℎ𝛼�𝑡𝑗� , j=1,2,…,n (4) By evaluating equation (4) at j=1 one can get the value of 𝑢0,1.Then we approximate the integral that appeared in the right hand side of the nonlocal condition given by equation (1.d) with any suitable method of quadrature methods, say the composite trapezoid rule to get: 𝑢𝑚,𝑗 It is well known that the explicit finite difference method is a numerical method that is used to solve the initial-boundary value problems for partial differential equations as well as, ordinary differential equations.	cache/iajs-476.pdf	txt/iajs-476.txt