Recent content by BlackTulip

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    Graduate PDE with an inequality constrain

    I do have some Dirichlet boundary conditions. My problem is that how to formulate this PDE with some inequality constraints. Do you have a suggestion for that? Thanks for your attention.
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    Graduate PDE with an inequality constrain

    Yes, It's the same thing: http://en.wikipedia.org/wiki/Laplace's_equation
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    Graduate PDE with an inequality constrain

    Hi everybody, For part of my research, I need to solve an elliptic PDE like: Δu - k * u = 0, subject to : 0≤ u(x,y) ≤ 1.0 where k is a positive constant. Can anyone tell me how I can solve this problem? Thanks in advance for your help.
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    Graduate Analytical method to solve a system of ODEs

    Thank you Chiro for your comments. I used cond() function in Matlab to check if A is ill-conditioned. The condition number of A is not close to 1. Normally it is around 30. But in some cases it is around 1000. I checked the product of the eigenvalues of A and in most cases it is not...
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    Graduate Analytical method to solve a system of ODEs

    Hello All, I am new to this community but by reviwwing the questions and answers posted in this forum I was encouraged to share my question with you and I hope you can help me. I have a system of 4th order ordinary differential equations for several functions which I call them: y_1,y_2...