It depends on the accuracy you need, and the order of your DEs. Note that, all of the numerical methods could be applied in MATLAB, such as "Leap Frog".

Thanks to all.

How can I get the code for VB language to solve the equations?? Any link will be helpful...

Ok. I got it. Thanks...

Are your equations second order in time or in space?

u can use MATLAB inbulit functions like ode45,ode23 etc.. some of these uses rungekutta family of methods.... But they can handle most types of ODEs stiff, nonstiff etc... check this link for more..

http://www.mathworks.in/help/techdoc/ref/ode23.html

Basically I am trying to solve a problem related to plasma in sheath region. I also got my result using ode45 in matlab. But the fact is that I wanted to check it by using different kind of approach or method to check the accuracy and variation in the result. Thanks to everyone I got what I wanted....

Why can you use Newton Rapson Second Order differential Equation instead of Runge Kutta for DE.

Just give an equation for which there is a closed form solution. Then verify :)

Dear Adhikari

Solving differential equation is a lot easier in Maple. You should give it a try. There is no need to define variables and all. You can directly write the equation and find the solution.

Thanks

you can also solve it with Euler method it is simple comparing with that of RK but the latest give more precision in calcul