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Question: Error, (in dsolve/numeric/bvp) cannot determine a suitable initial profile, please specify an approximate initial solution

Question:Error, (in dsolve/numeric/bvp) cannot determine a suitable initial profile, please specify an approximate initial solution

kencom1 115 Maple
dsolve numeric bvp
August 28 2017
2

 Can anyone help me with this problem. I am trying to solve it and its given me an error message "Error, (in dsolve/numeric/bvp) cannot determine a suitable initial profile, please specify an approximate initial solution".


 

> 

restart
> 

with(ODETools):
> 

with(student):
> 

dsolve[interactive]()
> 

with(plots)
> 

with(plottools)
> 

inf := 5
> 

unprotect('gamma')
> 

NULL
> 

equ1 := diff(f(eta), `$`(eta, 3))-(3/4)*f(eta)*(diff(f(eta), `$`(eta, 2)))+(1/2)*(diff(f(eta), eta))^2-theta(eta)-N*gamma(eta) = 0:
> 

equ2 := diff(theta(eta), `$`(eta, 2))-(3/4)*f(eta)*(diff(theta(eta), eta)) = 0:
> 

equ3 := diff(gamma(eta), `$`(eta, 2))-(3/4)*L__e*P__r*f(eta)*(diff(gamma(eta), eta)) = 0:
> 

Bcs := f(0) = 0, (D(f))(0) = 0, theta(0) = 1, (D(f))(inf) = 0, theta(inf) = 0, gamma(0) = 1, gamma(inf) = 0

f(0) = 0, (D(f))(0) = 0, theta(0) = 1, (D(f))(5) = 0, theta(5) = 0, gamma(0) = 1, gamma(5) = 0

 (1)
> 

Parameter := [P__r = .72, N = 1, L__e = 1]:
> 

S1 := dsolve({Bcs, subs(Parameter, equ1), subs(Parameter, equ2), subs(Parameter, equ3)}, {f(eta), gamma(eta), theta(eta)}, type = numeric)

Error, (in dsolve/numeric/bvp) cannot determine a suitable initial profile, please specify an approximate initial solution

  
> 

``


 

Download Numerical.mw

 Looking forward to your favorable response.

Kind regard
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