Sentence examples for using the shooting method from inspiring English sources
Numerical solutions are obtained using the shooting method.
The transformed boundary layer equations are solved numerically using the shooting method.
The bifurcation diagram has been generated using the shooting method in combination with a continuation method.
Equation (6) subject to the boundary conditions (7) has been solved numerically using the shooting method as described in the paper by Meade et al.[17].[17]
For small deflections, an analytical solution is derived, while for large deflections a numerical solution is obtained using the shooting method.
Equations 13 and 14 with the boundary conditions (Equation 15) are solved numerically using the shooting method in the Maple programming language; a commonly used numerical method for the solution of two-point boundary value problems[22].
After that Man Kam Kwong [4, 12] used the shooting method to consider second-order multi-point boundary value problems.
I have used the shooting method to find the eigenvalues (bound state energies) of a set of strongly coupled Schrödinger type equations.
end{aligned} (7.1) In order to use the shooting method, we consider the following auxiliary problem: begin{aligned} & -v_{xx}=m bigl v^{3}-vbigr),quad xin(0,1), & v(0)=0,qquad v'(0)=a,qquad v(x)>0,quad xin(0,1), end{aligned} (7.2) where the positive constant a will bigl v^{3}-vbigrhat (v(1)=0).
This is done by solving two-point boundary value problems using the multiple shooting method in combination with a path-following method.
It yields a set of nonlinear differential equations that are solved using the Multiple Shooting Method combined with a Newton Raphson iterative scheme.
