Recent content by mohammad449

Thanks so much Dear JJacquelin! Actually, the original equation has been simplified to the given form. I have the numerical results of the original complicated equation. Currently, I am trying to find an analytical solution to match the numerical one. I tried the Heat Integral method (to get...

Dear Friends, Would you please provide me with some hints to find the analytical solution of the non-linear PDE given below: U=U(z,t) Uzz-(A/U)*Uz=Ut BC's and IC's are: U(z,0)=B U(1,t)=B Uz(0,t)=A*H(t); "H" is the heaviside function and H(0)=0 where A, B, and C are constant...

thanks for your consideration about this matter

Dear Friends, I encountered with some difficulties in solving following PDE (off course, analytically not numerically), so I would really appreciate it if you help me in this matter. The PDE is: Uzz+f(t)*Uz=g(t)*Ut where U(z,t), f(t), and g(t) B.Cs and I.C are: U(0,t)=b...