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In the numerical part of the study, incompressible Navier Stokes equations, derived from an orthogonal helical coordinate system were solved by finite difference method with projection algorithm using FORTRAN programming language.
Coupled equilibrium equations of suspended wheels and floating slab track system were solved with the fourth-order Runge Kutta method to obtain the deflections, vibration velocities, and wheel rail contact forces.
Lumped-parameter models of the closed cerebrospinal system were solved numerically to simulate disease conditions and treatment options (Elliott et al. 2011).
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Then, the coupled system is solved.
This system is solved by Laplace transform.
The resulting system is solved using the method of characteristics.
This system is solved by an inexact Uzawa algorithm.
The resulting system is solved by efficient implicit iterations.
The resulting system is solved using a Newton Raphson iteration.
Solve: For each realization of the parameters (xi_{k}), the underlying system is solved.
The nonlinear equation system is solved by iteration with a very simple scheme.
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