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Arif Ullah khan

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These are questions asked by Arif Ullah khan

How to get convergent solution of the sh...

Arif Ullah khan 25 Maple 2020
ode dsolve numeric
August 19 2020
2 20

Hi,

Need your help to find the convergent solution of the attached problem.

Here is some information about parameters

(0 <= gamma <= 10,      0 <= rho & nu <= 200)

 

Arif_Ullah.mw
 

 

> 

restart:
> 

with(plots):
> 

N:=6:
> 

 

> 

eq1 :=3*diff(f(eta),eta,eta,eta)+2*f(eta)*diff(f(eta),eta,eta)-(diff(f(eta),eta))^2;

3*(diff(diff(diff(f(eta), eta), eta), eta))+2*f(eta)*(diff(diff(f(eta), eta), eta))-(diff(f(eta), eta))^2

 (1)
> 

NULL
> 

eq2 := 3*nu*diff(g(eta),eta,eta,eta)+2*g(eta)*diff(g(eta),eta,eta)-(diff(g(eta),eta))^2;

3*nu*(diff(diff(diff(g(eta), eta), eta), eta))+2*g(eta)*(diff(diff(g(eta), eta), eta))-(diff(g(eta), eta))^2

 (2)
> 

 

> 

bc:=f(0) = 0, g(0) = 0, D(f)(0) = D(g)(0), D(D(f))(0) = -rho*nu*D(D(g))(0), D(D(f))(6) = 1, D(D(g))(N) = gamma;

f(0) = 0, g(0) = 0, (D(f))(0) = (D(g))(0), ((D@@2)(f))(0) = -rho*nu*((D@@2)(g))(0), ((D@@2)(f))(6) = 1, ((D@@2)(g))(6) = gamma

 (3)
> 

 

> 

para:={nu=3, gamma=10};

{gamma = 10, nu = 3}

 (4)
> 

 

> 

A1 := dsolve(subs(para,rho=2, {bc, eq1, eq2}), numeric,method = bvp[midrich],maxmesh=12500, output=array([seq( 0.01*i, i=0..100*N)])):
> 

 

Error, (in dsolve/numeric/bvp) Newton iteration is not converging

  
> 

pf1 := odeplot(A1, [[eta,diff(f(eta),eta), linestyle = 1, color = blue]], 0 .. N):

Error, (in plots/odeplot) input is not a valid dsolve/numeric solution

  
> 

 

> 

pf2 := odeplot(A1, [[eta,diff(g(eta),eta), linestyle = 3, color = red]], 0 .. N):

Error, (in plots/odeplot) input is not a valid dsolve/numeric solution

  
> 

display({pf1,pf2}, axes = boxed,thickness=3,labels = [eta, "f' '"],labelfont = ["ROMAN", 22,Bold,Italic],axesfont = ["ROMAN", "ROMAN", 14,Bold],axis=[thickness=3]);

Error, (in plots:-display) expecting plot structures but received: {pf1, pf2}

  

NULL


 

Download Arif_Ullah.mw

 

Find the integration of nonlinear integr...

Arif Ullah khan 25 Maple 2017
integration
January 08 2018
1 0

Hi 

I need yours help to solve the given integral 
 

> 

restart
> 

A = 3*(q-1)^(-1/(1+r))*GAMMA(q-3/(2+2*r))*GAMMA(3/(2+2*r))/(GAMMA(5/(2+2*r))*GAMMA(q-5/(2+2*r)));
> 

g := int(`&epsilon;`*(1+(`&epsilon;`/(A*t))^(1+r)/(q-1))^(-q)*c*exp(-`&epsilon;`/a), `&epsilon;` = 0 .. infinity);
> 

``
> 

NULL
> 

NULL

q,c,a and r are parameters.
Γ is a gamma function.

Download Karim.mw
 

 

 

7-th order polynomial...

Arif Ullah khan 25 Maple
polynomial solve roots
December 10 2017
4 3

Hello Maple users,
Help me to find all positive real solutions of the polynomial containing a small parameter "c" as:

(solution must be in term of c).


 

How to add random values in Maple?...

Arif Ullah khan 25
statistics sum random
November 03 2017
1 1

I have been using random numbers in Maple and want to generate a sum of that random number. I have consider the following

with(stats):

x = random[uniform](10);

and now want 

sum(x_i)^a

where (x_i) is the ith values in x (random array) and "a" is any real number.

how to handle the error "initial Newton ...

Arif Ullah khan 25
dsolve numeric
October 18 2017
2 5

Dear Maple users,

need your help to resolve the error in attach file.
thanks

code_for_eigen_value.mw

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