@Ronan try to run the attached file.worksheet_issue_solved.mw

@Markiyan Hirnyk I tried with gridrefine=6 and also used crossingrefine command, but no luck. It took 47 hours on my  i-5 computer. This made my graph only smoother, but still it is discontinuous.

@Markiyan Hirnyk why is the plot not continuous. I was expecting that.

@Markiyan Hirnyk 

Thanks a lot for giving me a direction to solve the problem.

But now the problem is that I will have many real roots of omega corresponding to one value of p, and I am interested only for p=0.0001..0.01 with an interval of 0.00002. Later I have to process this obtained data (vector p and vector omegas) in MATLAB to produce some graphs. Is there a way to carry this data with precision in MATLAB.

I am using Doug method here to extract data from implicit plot (but what about precision). Also I am not getting scattered data points (as in your posted figure) when I am running the file on my computer.

@ Carl Love

Thanks to your suggestion but I think you are not getting my point. My code is lengthy, so your remedy would not work. Everytime it would be very tedious to select that particular section and also after that those lines are there in code to which i dont want to execute and again after those lines i want to execute the remaining code.

@ Carl Love

Thanks to your suggestion but I think you are not getting my point. My code is lengthy, so your remedy would not work. Everytime it would be very tedious to select that particular section and also after that those lines are there in code to which i dont want to execute and again after those lines i want to execute the remaining code.

@ carl love,

I am sorry but this is completely irrelevent.

@ carl love,

I am sorry but this is completely irrelevent.

@ Carl Love

thanks for the suggestions, it is helpful upto some extent, but not what I acutally need.

If I use your remedy,  I am unable to do anything with worksheet untill I take any action for the pop up window and as I take action it executes the remaining lines in code.

Hard luck for me and query for developers. Wish they had included this in Maple 17.

@ Carl Love

thanks for the suggestions, it is helpful upto some extent, but not what I acutally need.

If I use your remedy,  I am unable to do anything with worksheet untill I take any action for the pop up window and as I take action it executes the remaining lines in code.

Hard luck for me and query for developers. Wish they had included this in Maple 17.

@Alejandro Jakubi

your quick response is appreicable, but still no luck. This should be brought into Maple Develpers's notice.

@Alejandro Jakubi

your quick response is appreicable, but still no luck. This should be brought into Maple Develpers's notice.