|Dec30-11, 07:22 PM||#1|
Integro-Differential Equation with mathematica
how can i solve a system of Integro-Differential Equations in mathematica numerically or analytically?
|Dec31-11, 07:57 AM||#2|
[tex]y'(x)=2-1/4 x^2+1/4\int_0^x y(t)dt,\quad y(0)=0[/tex]
Now, modify for example the Euler method so that at evey time step, compute the developing integral for example at time step [itex]x_k[/itex], compute (numerically)
where the values of y(t) are obtained from the previous calculations. Then just add that part to the regular calculations for that method. Try to write a Mathematica program to implement this and see if you come out with [itex]y(x)=2x[/itex]. Get that perfected, then move on to more complicated ones. There are no built-in commands to compute IDEs in Mathematica although I'm sure the Mathematica community has written some numerical ones.
|Similar Threads for: Integro-Differential Equation with mathematica|
|Integro-partial differential equation||Classical Physics||0|
|Help solving a set of Integro-Differential equations with Matlab/Maple/Mathematica||Differential Equations||5|
|How to solve the following (integro-differential eq.)...||Differential Equations||0|
|Partial Integro-Differential Equation||Differential Equations||1|
|Integro-differential equation please help!||Calculus & Beyond Homework||7|