(a) Solvetheproblemut =uxx intheinterval[0,4]withu=0atboth
Chapter 8, Problem 1(choose chapter or problem)
(a) Solvetheproblemut =uxx intheinterval[0,4]withu=0atboth ends and u(x,0)= x(4x), using the forward difference scheme with x=1and t=0.25.Calculatefourtimesteps(uptot=1). (b) Do the same with x =0.50 and t =0.0625= 1 16. Calculate four time steps (up to t=0.25). (c) Compare your answers with each other. How close are they at x= 2.0, t=0.25?
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