Dear all 
I need the sign of eigenvalue of the given marrix.
Note that it is not essay to compute the eigenvalues but we can use  ROUTH Hurwitz criterion that give the sign of eigenvalues without computing them

stability.mw

Thank you 

[Moderator: long pasted output deleted - OP has provided file in reply]

Hello.

I would like to find the numerical solution of the Ginzburg-Landau equation for the1D, written in the form 

For d=1 and with the boundary conditions z(-infinity)=0 and z(infinity)=1 the solution is well-known, this is tanh(x) function.

My goal is to undertand the evolution of the numerical solution for the interval of the dimensionality 0<d<1. However, I faced with the problem that even for d=1 (the classical case) I get the error "Error, (in dsolve/numeric/bvp) Newton iteration is not converging".

Here is my simple code

restart;

with(plots):

R0 := (diff(z(x), x, x))*kappa^2-(1-d)*kappa^2*(diff(z(x), x))/x+z(x)-z(x)^3;

kappa := 2; d := 1;

p := dsolve({R0, z(-15) = 0, z(15) = 1}, type = numeric, range = -15 .. 15, maxmesh = 50000):

odeplot(p);

Thank you in advance.

How I can solve the error in maple which is ( (in PDEtools:-DeterminingPDE) expected the number of infinitesimals (4) to be equal to the sum of the number of independent (2) and dependent (1) variables; received: 4 <> 2 + 1)

Dear all 

I have a function defined on many sub-intervals, how can I simplify this the funciton obtained at each iteration. I hope obatin B_{i,1}, B_{i,2}, and B_{i,3} 

B_Spline.mw

Thank you 

Dear all

I would like to get the solution of a system : pde with boundary and initial condition. Everything well coded, but the code does not return the solution 

sol_heat.mw

Thanks for your help 

Hello.

I want to check my analytical calculations and to compare my results with the series expansion for x=0 and y=0 of the function

R0 := -(1-tanh((1/2)*l*sqrt(k*y^2+x^2)*d)^2)*x/(k*y^2+x^2)+2*tanh((1/2)*l*sqrt(k*y^2+x^2)*d)*x/(l*(k*y^2+x^2)^(3/2)*d)

by means of the command 

mtaylor(R0, [x, y], 5);

However, I have a message from Maple 17

Error, (in mtaylor) does not have a taylor expansion, try series()

I read here a little bit about some bugs of mtaylor function, but how to resolve this issue?

Dear all

I have a first sequence alpha, I would like to define a second sequence beta using a general formula of beta[i]

sequence.mw

Thank you

Dear all

I have a system that I want to solve it, 
But I get 

''too many levels of recursion''

code_solve_system_of_equations.mw

Thank you for your help 

Dear all
I have a boundary value problem, 
How can I solve the problem using maple or maybe we can introduce serie expansion to solve it or something else.

BVP_frac.mw

Thank you for your help 

Dear all 

I have a system of  second order difference equation.

How, can I update the iterate solution and solve the system

System_of_equations.mw

Thank you

Dear all
I would like to verify if the proposed solution u_exact of my partial differential equation defined on \mathbb{R}^2, with zero boundary condition 
I write the  exact solution, how substitute this  to verify that the PDE is satisfied or not. I tried to substitute but I think someting missing. 
Please check ...

solution_pde_check.mwsolution_pde_check.mw

Thank you

Dear all 
I have a PDE, with unknown u(t,x,t) ,  zero boundary condition and initial condition given

I converted the equaiton using finite difference to get a system of algebraic equation 

The system is solved at each time step 
I think i have a problem to update the solution inside the loop. 

I hope find the problem or why the numerical solution is different to exact solution at last time 

System_finite_difference.mw

Thank you for your help 

Dear all

I have an equation, I would like to collect or regroup all similar terms 

MCode.mw

Thank you 

Dear all
Warm Greetings.

I want to display a solution (only numerical value) of the first derivative of the function for the values of x varies from 0 to 7 with step size 0.01.

I have attached the work file. 
ODE.mw

Please do the needful.

Thanks in advance.