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The system of nonlinear ordinary differential Equations 10 and 12 with the boundary conditions (Equation 13) are integrated numerically by means of the efficient numerical shooting technique with a fourth-order Runge-Kutta scheme (MATLAB package).
This arbitrary dimensional boundary value problem is solved using a numerical shooting method derived from a general Lax pair solution.
These low order results are confirmed and extended to large amplitude motion by means of a numerical shooting algorithm.
An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem.
A numerical shooting method is used to calculate the mode shapes and natural frequencies and the influence of key thermal and geometric parameters on the free vibrations and buckling of the annulus is investigated.
A numerical shooting method, together with Broyden's iteration procedure, is developed to solve the resulting fourth-order ordinary differential equation with two-point boundary conditions for the gradient-dependent problem.
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Three numerical shoot designs including one detailed and two simplified (decahedron and flat) shoots were considered.
We may perform numerical experiments, shooting smoothly from (x=0) with (u'(0)=u"(0)=u"'(0)=0) and varying (u(0)).
Also, we observe that performing numerical experiments, shooting smoothly from (x=0) with (u'(0)=u"(0)=u"'(0)=0) and varying (u(0)), those chaotic patterns become more periodic when (u(0)) increases.
Recently Temitope and Samuel [23] in 2015 worked out on the variable physical properties in the steady second grade fluid, solution is establish by numerical Runge-Kutta shooting technique.
(bar{f}_{0}<mu) and (underline{f}_{infty}>mu); (bar{f}_{0}>mu) and (underline{f}_{infty}<mu), As a numerical method, the shooting method is efficient to find the solution of BVPs [5 7].
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