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These equations are subsequently solved using the Runge Kutta method.
The developed models are subsequently solved in a case-tailored solution procedure.
Application of the Hamilton's principle leads to the governing equations, which are subsequently solved through employment of a simple technique.
The equation is further discretized to a system of ordinary differential equations using the Galerkin method, which are subsequently solved via the harmonic balance method.
The nonlinear von Karman governing differential equations are derived for postbuckling analysis of symmetric VAT plate structures which are subsequently solved using the differential quadrature method.
These equations are, subsequently, solved to obtain a closed form mathematical expression for the steady-state vertical acceleration measurable at the vehicle human interface.
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This computational issue has been subsequently solved in [64].
The above system of simultaneous autonomous ordinary differential equations be subsequently solved numerically using Runge-Kutta-Gill method.
The resultant multispecies system of coupled reactive transport operators is subsequently solved using the collocation methods under isothermal conditions.
The problem is transformed into a semi-infinite programming problem and is subsequently solved using a two-stage procedure that searches for global maximum violation of the constraints.
By using a solenoidal basis technique to represent current, the problem is transformed to an unconstrained one that is subsequently solved by an iterative method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com