Mathematica 9 is now available
Student Support Forum
Student Support Forum: 'Solving PDEs with ICs' topicStudent Support Forum > General > Archives > "Solving PDEs with ICs"

Help | Reply To Topic
Author Comment/Response
Jim Kochanski
02/10/12 4:57pm

I have successfully solved a number of ODEs and PDEs with and without ICs using Mathematica 8.

Following is the second PDE I was unable to solve using same approaches that proved successful before. (First is the PDE successfully solved without ICs; then the PDE unsuccessfully solved with ICs. NOTE: After cut-and-paste, blank spaces were removed for brevity.)

Any suggestions or insight would be greatly appreciated.

Success without ICs:
DSolve[D[D[U[x,t],t],t]-9 D[D[U[x,t],x],x]==0,U[x,t],{x,t}]

No Success with ICs:
DSolve[{D[D[U[x,t],t],t]-9 D[D[U[x,t],x],x]==0,U[x,0]==ArcTan[x],D[U[x,t],t]==2 x Log[1+x^2]},U[x,t],{x,t}]
DSolve[{(U^(0,2))[x,t]-9 (U^(2,0))[x,t]==0,U[x,0]==ArcTan[x],(U^(0,1))[x,t]==2 x Log[1+x^2]},U[x,t],{x,t}]

URL: ,
Help | Reply To Topic