Math FMD representation
Budget: $30 – $250 USD
Write the FDM representation to each of the flowing equations:
a) 1D Heat equation using Central time and space explicit over ?∈[0,?],?(?,0)=∅(?) ??? ?≥0 show the algorithm graphically and also provide a few lines how to proceed with the solution starting from Dirichlet conditions.
b) 2D Wave equation using Central time & space implicit, over ?,?∈[0,?] and t≥0 and set up the needed Neumann and initial conditions.
c) The continuity equation central time & space explicit (??+??+??+??=0), over ?,?,?∈[0,?] and t≥0, assuming equal spaces in all directions then setup the needed conditions? What makes this equation different from a and b a part from the order and 3 dimensional space?
a) 1D Heat equation using Central time and space explicit over ?∈[0,?],?(?,0)=∅(?) ??? ?≥0 show the algorithm graphically and also provide a few lines how to proceed with the solution starting from Dirichlet conditions.
b) 2D Wave equation using Central time & space implicit, over ?,?∈[0,?] and t≥0 and set up the needed Neumann and initial conditions.
c) The continuity equation central time & space explicit (??+??+??+??=0), over ?,?,?∈[0,?] and t≥0, assuming equal spaces in all directions then setup the needed conditions? What makes this equation different from a and b a part from the order and 3 dimensional space?