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The governing set of equations is solved numerically using the shooting technique.
By using the shooting technique, the steady state periodic response is numerically obtained over a wide range of wave frequencies.
By using these three conditions, we have to provide the unknown initial conditions at η = 0 by using the shooting technique.
Then, we compare the calculated values of F′ and θ at η ∞ with the given boundary conditions F′ = 0 and ( theta left({eta}_{infty}right)=mathsf{0} ) and adjust the values of F ′ ′(0) and θ′(0) using the shooting technique to give better approximation for the solution.
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For the case of the thermal hydrolysis, the strategy involves discretization of the FOCP to formulate it as a Non-Linear Programming problem; then, the solution algorithm involves the use of an NLP solver and the shooting technique coupled to an inverse Laplace transformation subroutine.
Thus, using (f^{{prime prime }} (eta ); {text{at}} ;y = 0), which is estimated by the shooting technique, and Eqs.
"The shooting techniques we use in reality television, some scripted producers are going to see that as a form of storytelling," Mr. Renfroe said.
Periodic solutions of the discretized equations of motion are constructed using a shooting technique.
The nonlinear mass-transfer equations are also solved numerically using a shooting technique.
The accuracy of analytical solutions is verified by numerical solutions obtained using a shooting technique that uses a Runge-Kutta-Felhberg integration scheme and a Newton-Raphson correction scheme.
The non-linear differential Eqs. 12 and 21 along with the boundary conditions (13) and (22) form a two-point boundary value problem and are solved using a shooting technique together with a fourth-order Runge Kutta integration scheme by converting the non-linear differential equations into an initial value problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com