3 years, 63 days

## Finite element method...

Maple 17

I am trying to obtain the solution of the differential equation f'''+ff''-f'^2-Mf'=0, with f(0)=0, f'(0)=1, and f'(5)=0 with M=0.5 using finite element method

But got this error. I attached the file also.

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Download FEM.mw

## How to integrate the given function...

Maple 17

How to integrate the below function from 0 to eta.

A := P(eta)+S(H-2*`cos&theta;`(eta+1)*F)+`cos&theta;`*(2*F(eta)-2*H*F) = S(eta+1)*`sin&theta;`*F(theta)-`sin&theta;`(F*H(theta)-H*F(theta)+F(theta, eta))

Thanks in advance

## How to solve the given BVP using differe...

Maple 17

HI, I have numerically solved the given problem using the dsolve command But I want to solve the same problem using the Differential transformation method.
Can anyone help me to get the series solution for the given problem using DTM.

I want to compare the numerical results with DTM results when lambda =0.5.

eqn1 := diff(f(eta), `\$`(eta, 3))+f(eta)*(diff(f(eta), `\$`(eta, 2)))-(diff(f(eta), eta))^2-lambda*(diff(f(eta), eta)) = 0.

eqn2 := diff(theta(eta), `\$`(eta, 2))+f(eta)*(diff(theta(eta), eta))*Pr = 0

Bcs := (D(f))(0) = 1, f(0) = 0, (D(f))(infinity) = 0, theta(0) = 1, theta(infinity) = 0;

[lambda = .5, Pr = 6.3]

## How to draw Contour plot for the given d...

Maple 17

x := [0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4]

y := [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4]
z := [0, 0, 0, 0, 0, 0, .689376362, 1.378752724, 2.068129087, 2.757505449, 0, 1.02920355, 2.0584071, 3.087610649, 4.116814199, 0, 1.216469264, 2.432938529, 3.649407793, 4.865877057, 0, 1.325720912, 2.651441823, 3.977162735, 5.302883646]

How to plot the contour plot for the given data

## Stream line pattern of contour plot...

Maple

How to draw a streamlined pattern of contour plot like this

The ODE is given by

and boundary condition is

and

Streamline function

Thanks and Regards

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