TeyhaNeedHelp

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MaplePrimes Activity


These are replies submitted by TeyhaNeedHelp

@tomleslie Thank you. This really help. :)

@Kitonum Thank you for your help. It works, Is there any possibility to find the value of infinity? Can loop be use to find it? 

@dharr Thank you for the reminder. 

@Kitonum Thank you for your help. Is it possible for me to display the numerical value. Can i use evalf to get the specific value of f(eta) and theta(eta). Thanks again. 

@Carl Love I'm sorry for troubling you, but i really didn't know whether i do this correctly or not because there's an error.
 

restart

ode1 := diff(f(eta), `$`(eta, 3))+(diff(f(eta), `$`(eta, 2)))*f(eta)-(diff(f(eta), eta))^2-M.(diff(f(eta), eta))-A.(diff(f(eta), eta)+(1/2)*(eta.(diff(f(eta), `$`(eta, 2))))) = 0

diff(diff(diff(f(eta), eta), eta), eta)+(diff(diff(f(eta), eta), eta))*f(eta)-(diff(f(eta), eta))^2-M.(diff(f(eta), eta))-A.(diff(f(eta), eta)+(1/2)*(eta.(diff(diff(f(eta), eta), eta)))) = 0

(1)

ode2 := diff(theta(eta), `$`(eta, 2))+Pr*(f(eta).(diff(theta(eta), eta))-(diff(f(eta), eta)).theta(eta)-A.(theta(eta)+1/2.eta.(diff(theta(eta), eta)))) = 0

diff(diff(theta(eta), eta), eta)+Pr*(f(eta).(diff(theta(eta), eta))-(diff(f(eta), eta)).theta(eta)-A.(theta(eta)+(1/2)*(eta.(diff(theta(eta), eta))))) = 0

(2)

bcs := f(0) = 0, (D(f))(0) = 1, (D(f))(inf) = 0, theta(0) = 1, theta(inf) = 0

sol := dsolve({ode1, ode2, f(0) = 0, theta(0) = 1, theta(3) = 0, (D(f))(0) = 1, (D(f))(3) = 0}, numeric)

Error, (in dsolve/numeric/bvp/convertsys) too few boundary conditions: expected 8, got 5

 

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Download dsolve.mw

@Carl Love i'm sorry for the misunderstanding, what i mean is to display the value of the curve from the graph, which is f'(eta) and eta itself. Sorry again. 

@Carl Love Sorry for the late reply. i've checked the paper, there are no f''(6)=0 in the paper but i put the third boundary condition as f'(inf)=0 and it works just fine. Thank you for your help. I've been wondering how to display the value in numeric. can i just use dsolve. try that and i display error.

@Carl Love This really helps. Thanks alot. :)

@Rouben Rostamian  thanks for your help. i will check it again.

@Rouben Rostamian i'm a bit new to maple, how can i find the graph of f and not the graph of the derivative of f. Thank you. 

@Kitonum thank you for enlighten me. Maybe there are something wrong with the journal because all the intial condition were given in the journal. 

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