Mathematica Asked by Tiku on August 4, 2021
η = 0.125;
rg1s = Derivative[1][u1][t] - u1[t]*u3[t] - 3*u1[t]*u4[t] + u2[t]*u3[t] + 3*u2[t]*u4[t] + 2*(1 + 2*η)*u1[t]^2 == 0;
rg2s = Derivative[1][u2][t] - u2[t]*u3[t] - 3*u2[t]*u4[t] + u1[t]*u3[t] + 3*u1[t]*u4[t] + 2*(1 + 2*η)*u2[t]^2 == 0;
rg3t = Derivative[1][u3][t] - 0.5*((u1[t] - u2[t])^2 + u3[t]^2 - 3*u4[t]^2 + 6*u3[t]*u4[t]) == 0;
rg4t = Derivative[1][u4][t] - 0.5*((u1[t] - u2[t])^2 + u3[t]^2 + 5*u4[t]^2 - 2*u3[t]*u4[t]) == 0;
sol = NDSolve[{rg1s, rg2s, rg3t, rg4t, u1[0] == -0.6*0.2, u2[0] == -0.6*0.2, u3[0] == 0.6*0.2, u4[0] == 0.2}, {u1, u2, u3, u4}, {t, 1, 10}]
I am trying to solve four coupled nonlinear differential equations.
But, everytime I am getting
NDSolve::ndsz: At t == 2.0833315360868916`, step size is effectively zero; singularity or stiff system suspected.
I have tried all the possible ways to solve such kind of problem with similar kind of problems available in stack.
I want to get the value of g1,g2,g3 and g4 for large value of t i.e. 1 to 100 but I am getting only for small value of t?
Could you please suggest me some way to sort out the issue?
Thank you
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