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Madhukesh J K

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These are questions asked by Madhukesh J K

Difficult in getting solution...

Madhukesh J K 140 Maple
ode dsolve numeric
February 08 2021
1 2

In the present problem 

I am trying to obtain the numerical solution and graphs for the f' theta1 and theta2 curves vs eta profile

please anyone help me to obtain the solution

i have attached my worksheet below

Thank you for your precious time.

Download ODE_Prob.mw

 

Rearrange the expression...

Madhukesh J K 140 Maple
differential-equations
January 04 2021
1 1

a^(5/2)*s^2*(D(f))(eta)^2*sqrt(nu)/(R*sqrt(a)*sqrt(nu)+eta*nu) = a^(5/2)*s^2*(D(P(s, eta*sqrt(nu)/sqrt(a))))(eta)/sqrt(nu)

 

Is it possible to rearrange the above equation for D(P)(eta)

Error, (in fproc) unable to store 'HFloa...

Madhukesh J K 140 Maple 17
ode homework dsolve
December 17 2020
1 2

When i trying to solve the BVP the following error will found 

Error, (in fproc) unable to store 'HFloat(1.0141653815612295)+HFloat(0.0020355870386861838)*I' when datatype=float[8]
 

I have attached my worksheet.

Please anyone help me to get solution to this problem.

Thank you so much

Download Main.mw

 

Not able to solve the equation and How t...

Madhukesh J K 140 Maple 17
ode dsolve numeric
December 07 2020
2 4

I'm trying to solve the problem which is published in the research article. The paper is attached. 

This work done with the help of shooting technique in maple 18

1.Is it possible to solve in maple 17

2. How to obtain the triple soln

3. How to implement Shooting technique

Please anyone help me to get this 

 

restart:

with(plots):

eq1 := (1+K)*(diff(f(eta), `$`(eta, 3)))+f(eta)*(diff(f(eta), `$`(eta, 2)))+K*(diff(g(eta), eta))-2*(diff(f(eta), eta))^2-M*(diff(f(eta), eta)) = 0;

(1+K)*(diff(diff(diff(f(eta), eta), eta), eta))+f(eta)*(diff(diff(f(eta), eta), eta))+K*(diff(g(eta), eta))-2*(diff(f(eta), eta))^2-M*(diff(f(eta), eta)) = 0

 (1)

eq2 := (1+(1/2)*K)*(diff(g(eta), `$`(eta, 2)))+f(eta)*(diff(g(eta), eta))-3*g(eta)*(diff(f(eta), eta))-2*K*g(eta)-K*(diff(f(eta), `$`(eta, 2))) = 0;

(1+(1/2)*K)*(diff(diff(g(eta), eta), eta))+f(eta)*(diff(g(eta), eta))-3*g(eta)*(diff(f(eta), eta))-2*K*g(eta)-K*(diff(diff(f(eta), eta), eta)) = 0

 (2)

eq3 := (1+(4/3)*Rd)*(diff(theta(eta), `$`(eta, 2)))/Pr+f(eta)*(diff(theta(eta), eta))+Nb*(diff(chi(eta), eta))*(diff(theta(eta), eta))+Nt*(diff(theta(eta), eta))^2 = 0;

(1+(4/3)*Rd)*(diff(diff(theta(eta), eta), eta))/Pr+f(eta)*(diff(theta(eta), eta))+Nb*(diff(chi(eta), eta))*(diff(theta(eta), eta))+Nt*(diff(theta(eta), eta))^2 = 0

 (3)

eq4 := diff(chi(eta), `$`(eta, 2))+Sc*f(eta)*(diff(chi(eta), eta))+Nt*(diff(theta(eta), `$`(eta, 2)))/Nb = 0;

diff(diff(chi(eta), eta), eta)+Sc*f(eta)*(diff(chi(eta), eta))+Nt*(diff(diff(theta(eta), eta), eta))/Nb = 0

 (4)

bcs := f(0) = S, (D(f))(0) = -1, g(0) = -m*((D^2)(f))(0), (D(theta))(0) = -A*(1-theta(0)), chi(0) = 1+delta*(D(chi))(0), (D(f))(10) = 0, g(10) = 0, theta(10) = 0, chi(10) = 0;

f(0) = S, (D(f))(0) = -1, g(0) = -m*(D(f))(0)^2, (D(theta))(0) = -A*(1-theta(0)), chi(0) = 1+delta*(D(chi))(0), (D(f))(10) = 0, g(10) = 0, theta(10) = 0, chi(10) = 0

 (5)

params := [K = .1, S = 2.1257, m = .5, Pr = 2, Nb = .3, Nt = .5, Sc = 2, Rd = .5, delta = .1, A = 5];

[K = .1, S = 2.1257, m = .5, Pr = 2, Nb = .3, Nt = .5, Sc = 2, Rd = .5, delta = .1, A = 5]

 (6)

sol := dsolve(eval([eq1, eq2, eq3, eq4, bcs], params), numeric, output = listprocedure, maxmesh = 5000)

Error, (in dsolve/numeric/bvp/convertsys) too few boundary conditions: expected 10, got 9

  

``


 

Download Triple.mw

How to Solve numerically and plot graphs...

Madhukesh J K 140 Maple 17
ode dsolve numeric
December 02 2020
1 1

In the below paper 

ODEs are solved by using Matlab Software

Is it possible to solve this in Matlab software?  [I think you mean Maple!--Carl Love]

I have attached the Article

j.physa.2019.123959.pdf

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