Recent content by ftarak

Actually, not. As you know, for solving the Laplace equation in any coordinate systems, the first method is Separation of Variable and another method is Fourier Transform method, which the boundaries of integration are -infinity to +infinity, but in the method of Finite Integral Transform (FIT)...

Hi everybody, I just want to know, anybody has any information or sources about the method of Finite-Integral-Transform method in order to solve the Laplace Equations. I couldn't find this topic in any texts, mostly they just introduce the method of SOV or Fourier Integral Transform. I...

hi guys, I have another question, when I suppose that one of the solution for this problem is y(x) = x^{m} actually, it doesn't work because it directs me to trivial solution and gives me the zero coefficients after applying the boundary conditions, do you have any idea about the...

thanks buddy

thank you so much. it was so helpful o:)

Homework Statement the question is how to write the following equation to S-L form and solve the equation Homework Equations x^{2}y'' + xy' + \lambda^{2}y = 0 y(1/10) = y(2) = 0 The Attempt at a Solution I tried to write above equation in form d[x^{2}y']/dx +...

thank you guys, your hints were so helpful.

I am not sure but I am thinking about power series solution for the first integral. How can I fix up the singularity?

Homework Statement I = \int^{2}_{0} (1-e^{-x})/\sqrt{x} I=\int^{2}_{0.1}x/sin^2(x) Homework Equations The Attempt at a Solution I tried to integrate by part, but I approached to trivial solution. I know that the answer is involved with Error function, but I don't know how I could reach the...

thank you for your answer. that was helpful. I got the point, the point is that the hydrostatic pressure is mean normal stress. and we cannot cancel out the hydrostatic term in the Hooke's law in the situation, which is indeterminate.

Hi everybody, I have just a question about elastic and isotropic constitutive relationship Why does the stress tensor need an indeterminate hydrostatic term for an incompressible material? for both solids and fluids.

Homework Statement Use the identity \epsilon_{ijk} \epsilon_{klm} = \delta_{ik} \delta_{jl} - \delta_{il} \delta_{jk} as a shortcut to obtain the following results: a) \epsilon_{ilm} \epsilon_{jlm}= 2\delta_{ij} b) \epsilon_{ijk} \epsilon_{ijk} = 6 Homework Equations The...