
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 13th, 2012, 10:19 AM  #1 
Newbie Joined: May 2012 Posts: 3 Thanks: 0  analytical solution to BVP with fu'n and 2nd dr'tve of fu'n
I have the following (fairly simple) boundary value problem and I am trying to find an analytical solution to it, but for the life of me it's not working out. This is part of a larger thing where I'm trying to understand FEM and BVPs. Essentially this is a diffusion reaction problem. My problem is I have the following (?=pi) vkv''=f(x)=sin(?x), x is between 1 and 2 v@x=0 = 0 and v@x=1 = 0 I have some plots but they are not matching my analytical solution (I think my brain has just broken tonight), but if anyone can steer me right I'd be grateful. 
June 13th, 2012, 10:21 AM  #2 
Newbie Joined: May 2012 Posts: 3 Thanks: 0  Re: analytical solution to BVP with fu'n and 2nd dr'tve of f
I should also have mentioned k is a constant

June 13th, 2012, 12:02 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,066 Thanks: 1621 
I assume k is positive. WA gives v = Ae^(x/?k) + Be^(x/?k) + sin(?x)/(?²k + 1), where A and B are constants chosen so that the boundary conditions are satisfied.


Tags 
2nd, analytical, bvp, drtve, fun, solution 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Analytical methods  finfanillo  Linear Algebra  0  March 21st, 2012 10:14 PM 
is there an analytical solution to (x+a)^g(xa)^g=p*a*x  sciacallojo2  Economics  7  August 9th, 2011 11:37 AM 
Analytical Geometry  julian21  Geometry  2  July 17th, 2010 01:06 PM 
poisson pde analytical solution  jangolobow  Calculus  1  April 2nd, 2010 08:51 AM 
Drag force, analytical solution  ask2  Calculus  2  November 13th, 2009 02:08 AM 