Improved Finite Difference Technique via Adomian Polynomial to Solve the Coupled Drinfeld’s–Sokolov–Wilson System

Algorithm 1

Algorithm of the EFD method.

	Input: the values of a, , and confections , number of space fragmentation , and for time
	Step 1: evaluate space step size and time step size.
	Step 2: find the values of α = T/2H, β = , and µ =
	Step 3: compute the initial condition and boundary conditions
	, ,
	,
	, , .
	Step 4: compute the numerical solution from
	where j = 1, 2, …, m − 1, and i = 1, 2, …, n − 1
	Step 5: compute the numerical solution from
	where i = 1 and for i = n − 1 compute the numerical solution from
	Step 6: compute the numerical solution for i = 2, 3, …, n − 2 from
	Step 7: print the numerical solutions and .