re:mathematica help
- To: mathgroup at smc.vnet.net
- Subject: [mg42875] re:mathematica help
- From: "ikhlaq chohan" <ikhlaqchohan at hotmail.com>
- Date: Thu, 31 Jul 2003 01:47:59 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
i need the help in programming of mathematica the ascii text is given here: "solve the heat equationusing explicit difference approximation with the help of programming in mathematica" is a function of space cordinate "x" and time cordinate "t", ie u= u(x,t) with the given boundary conditions u(0, t) =u(1, t)= 0 for "t" lies in the closed interval from 0 to 1 and the initial condition u(x,0)=x, when"x"lies in the closed interval from 0 to 0.5 u(x,0)=1-x when "x"lies in the closed interval from 0.5 to 1 The explicit difference scheme is given as [u(x,t+delta t)-u(x,t)]/(delta t) =[u(x+delta x,t)-2u(x,t)+u(x-delta x,t)]/(delta x )^2 with a condition (delta t) / (delta x )^2 should be less than and equal to 0.5 waiting for your reply Ikhlaq chohan