Recent content by Juliousceasor

First boundary condition is discretized as D*dU/dx = D* (U(i+1,m)-U(i-1,m))/(2*dx) The main differential equation is dicrretized as d^2U/dx^2= (U(i+1,m)-2*U(i,m)+U(i-1,m))/(dx^2)--------(1) dU/dt = (U(i,m+1)-U(i,m))/dt------------------------(2) Using discretizations (1)...

The numerical results are giving me very high values. I also have the analytical solution to it. I have posted a figure(please see the attachment). Blue dots in the figure is the numerical solution and the very small red line (which is hardly visible) is the analytical solution. I just do not...

I have a 1_D diffusion equation dc/dt = D*d^2c/dx^2-Lc where L,D = constants I am trying to solve the equation above by following b.c. by FTCS scheme -D*dc/dx = J0*delta(t); where delta(t)= dirac delta function ----(upper boundary) I have written the code for it but i just...

Yes generally in the calculus or differential equations books it is called as perticular integral..And this definition is also not so senseless..but anyways that's a million for your help..

but there is 1/x on the RHS ...what will be the general form the Particular integral...As you can see i am not so good in math..

The perticular solution is not that obvious...As after taken general form of perticular solution as y=a*x^-1 i am getting pretty weird results..Am i doing it right?

thanks mate...I couldent understand that J0 ist the 0th order..

I got the solution but if i want to perform simulations i need a general solution of bessel funtion of the first kind...There are 1000 different forms of this funtion available..I am a bit confused which to use? Could you help?

thanks a lot..was really appriciated

I don't quite get the transformation..Could you please expand it a little bit Thanks..

1. Homework Statement I am trying to find out the soulution of the following non homogeneous differential equation with variable coefficients. The differential equation is given as follows 2. Homework Equations y''+(1/x)y'-(A0/x)y = -B0/x where, A0,B0 = constants Does anyone...

I think its a bit complicated for an algebra problem and i think variation of parameters could be one of the suited methods to solve it..but I have no idea how to do it..Whats the combinatrics way?

Homework Statement I am trying to find out the soulution of the following non homogeneous differential equation with variable coefficients. The differential equation is given as follows Homework Equations y''+(1/x)y'-(A0/x)y = -B0/x where, A0,B0 = constants Does anyone have any...

Hallo everyone, I am trying to find the way to solve the vertical diffusion equation for a spicies X in the atmosphere for steady state conditions (dc/dt=0). The equation has the form, dJ/dz -P+S=0 where J =(vs*C(z)) + rho*kz*d/dz(C(z)/rho(z)) is the flux of spicies X at height z...

Thanks for the help. Actually I have solved the problem with the help of Laplace transformation...and the solution works..:)...but thanks anyways!