Thank you Sir @Preben Alsholm for your explanation.

I really appreciate it.

May God bless u Sir :) :)

Thank you Mr @Preben Alsholm ,

can you do your suggestion at my worksheet. Sorry I cannot understand what are you trying to say.

Try_for_Second_Grade_Fluid.mw

or maybe the method I used to solve my problem is not suitable. what do you think?

For your information, I have check several times for the inverse laplace but still cannot get what is wrong to my answer. 

Maybe I have to try other method in order to solve this kind of problem. 

Thank you Sir.

@Carl Love @Preben Alsholm 

Thank you sir for your replies. But for your information I must get V=0 when y=0,

because my boundary conditions given by

V(o,t)=0 and  V(infinity,t)=0.

Unfortunately, V gives answer float when I evaluate y=0.

These are the graph Try_for_Second_Grade_Fluid.mw

Try_for_Second_Grade_Fluid.mw

Thank you :)

Thank you very much Mr @Preben Alsholm .. I got it ^^

Thanks again

@Preben Alsholm 

Thank you very much Mr Preben for your reply, Sorry for the late reply.I do not know why I didnt get the notification in my email. Actually I just want to check the value in maple and get the graph of this solution using this software. For your information, I have try this problem using MATHCAD and I have get the solution and graph. I just wondering why I didnt get the similar answer using MAPLE. :(

@Preben Alsholm 

Thank you very much Sir, I will try to follow your suggesstion and check carefully the sign. Maybe I have put the wrong sign or I used wrong commands. 

Your comments really help me alot! 

Thanks Sir:)

Thank you so much @Carl Love.. I will do your suggestions. This is my first time using maple..so I guess I have to learn more about maple and explore it..Thanks for your guide :)

Dear Sir @Preben Alsholm ,

Thank you very much for your comments,I really appreciate your advice and I try to follow it. But I do not know why I still cant get the graph that I want. For your information, this worksheet is the exact solution for the pde system.

I try to follow what you have said but still come out with the error. and it takes long time to evaluate..I also change to big 'U' and follow your steps change to maple notation but does not work for my worksheet. the error keep telling me"Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct ".

Exact_for_u.mw

Can you tell me what happen to my worksheet?I really need this graph for my study :(

Thanks, Sir.

Dear Sir @Carl Love 

Can I know what is the correct commands for plotting?

Here I have attached the exact solution file which I mentioned you just now but unfortunately, I have failed to plot it using maple although I have used maple help.

For your information I need to plot for R=0, 0.1, 0.2 and 0.3 in the same graph.

Exact.mw

Thanks

@Preben Alsholm 

Thank you very much Sir for your comments

I really appreciate it :)

@Carl Love 

Sorry sir, actually the exact solution was done by my senior and he got that type of graph for his solution..then my lecturer asked me to do the numerical part by using finite difference method and compare with the exact one. I do not know why I cant get the similar graph or maybe my senior did wrong when he plotted the graph. But, you said my worksheet was correct..maybe I have to check again the work done by my senior. I am so confused, I thought I am wrong..May I know, Is the graph with the Negative Sign is correct and How can I check the convergence Sir?

Thank you very much Sir for help me..I really appreciate it..

May God Bless you Sir :)

@Carl Love 

Dear Sir,

I mean I cant get the exactly graph if I put minus sign at the first equation(Negative sign near the R). In order, to get the graph I have to change the negative sign to positive sign. This is wrong actually, because according to exact solution I must get the graph similar with the Exact solution.

This is the graph that I get when I used the Negative sign at my first equation:

Velocity_Profile_with_different_values_of_Gr2.mw  

Thank you in advance, Sir.

@Carl Love 

Sorry for the late reply Sir, Here I have attached the file together with the values that you requested.

Velocity_Profile_with_different_values_of_Gr.mw

Thank you very much Sir.

this is my file in pdf maple13.pdf, this is my first time here and I'm so sorry for the inconvenient..

Thank you very much.