tests added

Author: mjsheikh

test/MOL/MOL_1D_HigherOrder.jl

@@ -74,53 +74,6 @@ end
     prob = discretize(pdesys,discretization)
 end
 
-@testset "Kuramoto–Sivashinsky equation" begin
-    @parameters x, t
-    @variables u(..)
-    Dt = Differential(t)
-    Dx = Differential(x)
-    Dx2 = Differential(x)^2
-    Dx3 = Differential(x)^3
-    Dx4 = Differential(x)^4
-
-    α = 1
-    β = 4
-    γ = 1
-    eq = Dt(u(x,t)) ~ -u(x,t)*Dx(u(x,t)) - α*Dx2(u(x,t)) - β*Dx3(u(x,t)) - γ*Dx4(u(x,t))
-
-    u_analytic(x,t;z = -x/2+t) = 11 + 15*tanh(z) -15*tanh(z)^2 - 15*tanh(z)^3
-    du(x,t;z = -x/2+t) = 15/2*(tanh(z) + 1)*(3*tanh(z) - 1)*sech(z)^2
-
-    bcs = [u(x,0) ~ u_analytic(x,0),
-           u(-10,t) ~ u_analytic(-10,t),
-           u(10,t) ~ u_analytic(10,t),
-           Dx(u(-10,t)) ~ du(-10,t),
-           Dx(u(10,t)) ~ du(10,t)]
-
-    # Space and time domains
-    domains = [x ∈ Interval(-10.0,10.0),
-               t ∈ Interval(0.0,1.0)]
-    # Discretization
-    dx = 0.4; dt = 0.2
-
-    discretization = MOLFiniteDifference([x=>dx],t;centered_order=4,grid_align=center_align)
-    pdesys = PDESystem(eq,bcs,domains,[x,t],[u(x,t)])
-    prob = discretize(pdesys,discretization)
-
-    sol = solve(prob,Tsit5(),saveat=0.1,dt=dt)
-
-    @test sol.retcode == :Success
-
-    xs = domains[1].domain.lower+dx+dx:dx:domains[1].domain.upper-dx-dx
-    ts = sol.t
-
-    u_predict = sol.u
-    u_real = [[u_analytic(x, t) for x in xs] for t in ts]
-    u_diff = u_real - u_predict
-    @test_broken u_diff[:] ≈ zeros(length(u_diff)) atol=0.01;
-    #plot(xs, u_diff)
-end
-
 @testset "KdV Single Soliton equation" begin
     @parameters x, t
     @variables u(..)
@@ -163,8 +116,5 @@ end
 
     u_predict = sol.u
     u_real = [[u_analytic(x, t) for x in xs] for t in ts]
-    u_diff = u_real - u_predict
-    for i in 1:length(u_diff)
-    	@test u_diff[i] ≈ zeros(length(u_diff[i])) atol=0.05;
-    end
+    @test all(isapprox.(u_predict, u_real, rtol = 0.03))
 end