@tomleslie  i need the same figures  MHD_dissipative_flow_stream_lines
 

@tomleslie main aim is to draw the stream lines by the given ode and Bc

I m not having 100% clarity how to plot the thing in maple for that reason i am refering the demo code related to that

Which type of plots i need i will give a demo image for that from other research paper.

@tomleslie

I will write the code according to my knowledge by seeing that reference if found errors or mistaks then can you rectify it sir.

@tomleslie By Referring below work seat how can i plot similar graphs for  my equation i want to plot U'(Y) versus Y  and Theta (Y) versus Y with differnt values of M = 0.5,1, 1.5

And table values  of Cf and Nu with Different values of M=0.5,1,1.5

@tomleslie  can we get similar table values and graphs in HPM method above given file need to match the answer for both the method 

but i have observed in the hpm code table values and Q as well as Theta_b values also not matching single degit for different values of parameter like M=3, Pr=7.2 and N=0.1

for any value not matching with numerical solution

thank you

@tomleslie  why you used in Q integration of U(Y) limit is 0 to 1 but u have given U(Y)(Y) what it means sir similarly in theta B also

@tomleslie By Referring below work seat how can i plot similar graphs for  my equation i want to plot U'(Y) versus Y  and Theta (Y) versus Y with differnt values of M = 0.5,1, 1.5

And table values  of Cf and Nu with Different values of M=0.5,1,1.5

nanofluid_BVP_Sheikholeslami.mw

@tomleslie  can we plot the stream lines for Nussel number and skinfriction with given parameter values sir

@tomleslie i have given mine governing equation sir.. Below i m given same equation from the base paper

@tomleslie

Which answer needed sir.

According to that i will follow the things

@tomleslie any demo code already ploted is there share me according to that i will try to do the same

Download Nur(_Beta_star_Vs.M).mw

@tomleslie

These are the equation and Bc for the plot with different parameters here i kept demo figures from other research paper i want plot the similar

@tomleslie

Those plots are demo plots from different paper i need to plot similar for the given parameter values in the equation with different values of M(M=1, M=2,M=3) and other parameters kept constant mentioned in the above equation 

@nm 

restart; N := 0; g := 1; A := 1; B := 0; M := 1; lambda := 1; Ec := 1; OdeSys := diff(U(Y), Y, Y)+Theta(Y)+N*(Theta(Y)*Theta(Y))-(M*M)*U(Y), diff(Theta(Y), Y, Y)+Ec*(diff(U(Y), Y))^2; Cond := U(0) = lambda*(D(U))(0), Theta(0) = A+g*(D(Theta))(0), U(1) = 0, Theta(1) = B; Ans := dsolve([OdeSys, Cond], numeric, output = listprocedure);
NULL;
NUMERIC := [(eval(diff(U(Y), Y), Ans))(.5), (eval(U(Y), Ans))(.5)];

I m getting the numericala ans but i want analytical solution expression with same boundary condition is it possible?

@Carl Love  reference fig i kept sir.

 I have given the all parameter ranges in my code