Solve a differential system in Scilab

In summary, to solve the given differential system in Scilab, use the ode function with the appropriate input parameters.
  • #1
Nesrine
9
0
Hello ,

I need to solve this differential system with Scilab and I don't know how to do it.

The system is presented below :

X1[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system1 = MapThread[#1 == #2 &, {X1'[t], A.X1[t]}];
X2[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system2 = MapThread[#1 == #2 &, {X2'[t], A.X2[t]}];
X3[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system3 = MapThread[#1 == #2 &, {X3'[t], A.X3[t]}];
X4[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system4 = MapThread[#1 == #2 &, {X4'[t], A.X4[t]}];
X5[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system5 = MapThread[#1 == #2 &, {X5'[t], A.X5[t]}];
X6[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system6 = MapThread[#1 == #2 &, {X6'[t], A.X6[t]}];
X7[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system7 = MapThread[#1 == #2 &, {X7'[t], A.X7[t]}];
X8[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system8 = MapThread[#1 == #2 &, {X8'[t], A.X8[t]}];
X9[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system9 = MapThread[#1 == #2 &, {X9'[t], A.X9[t]}];
X10[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system10 = MapThread[#1 == #2 &, {X10'[t], A.X10[t]}];
X11[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system11 = MapThread[#1 == #2 &, {X11'[t], A.X11[t]}];
X12[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system12 = MapThread[#1 == #2 &, {X12'[t], A.X12[t]}];


It's written in mathématica programming language

I need to solve it using Scilab and I don't know how to do it ?

Can you help me please


Thanks so much
 
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  • #2
for your help !The solution to this problem can be found in Scilab's documentation. Scilab has a function called ode which can be used to solve differential equations. The syntax for this function is ode(f,x0,t0,tf,options) where f is the differential equation, x0 is the initial condition, t0 is the initial time, tf is the final time and options are the options for the solver. For example, to solve the system of differential equations given above, you would use the following command: [t,x] = ode(A,X1[0],0,tf,options) where A is the matrix of coefficients, X1[0] is the initial condition and tf is the final time. You can find more information on how to use the ode function in Scilab's documentation.
 

FAQ: Solve a differential system in Scilab

What is a differential system?

A differential system is a set of equations that describe the relationship between a function and its derivatives. It can be represented in the form of differential equations, which involve the derivatives of one or more dependent variables with respect to one or more independent variables.

How can Scilab help me solve a differential system?

Scilab is a powerful numerical computation software that has built-in functions and solvers for solving differential systems. It provides a user-friendly interface for entering and manipulating equations, as well as advanced tools for visualizing and analyzing the results.

What are the steps for solving a differential system in Scilab?

The general steps for solving a differential system in Scilab are:

  1. Define the system of equations using the ode function.
  2. Choose a solver method, such as ode or rk.
  3. Set the initial conditions for the system.
  4. Specify the time interval or number of time steps for the solution.
  5. Run the solver and plot the results.

Can Scilab solve any type of differential system?

Yes, Scilab can solve a wide range of differential systems, including ordinary differential equations (ODEs), partial differential equations (PDEs), and delay differential equations (DDEs). It also has the ability to handle systems with discontinuous or non-smooth solutions.

Are there any resources available for learning how to use Scilab to solve differential systems?

Yes, there are many online tutorials, videos, and documentation available for learning how to use Scilab for solving differential systems. Additionally, the Scilab community offers support and resources for beginners and advanced users alike.

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