Examples of 'solved numerically' in a sentence
Meaning of "solved numerically"
solved numerically: finding a solution or answer to a problem using numerical methods or computations
How to use "solved numerically" in a sentence
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solved numerically
Often these equations must be solved numerically.
The model is solved numerically by a finite element software.
The volume integral equation is then solved numerically.
It can be solved numerically by the finite element method.
This equation has to be solved numerically for β.
The resulting approximate nonlinear ordinary differential equations are solved numerically.
This equation is solved numerically using a finite difference method.
A simple system representing cellular convenction is solved numerically.
This may be solved numerically.
A simple system representing cellular convection is solved numerically.
The model is solved numerically by the finite element method.
This is a transcendental equation in a and must be solved numerically.
This equation can be solved numerically using an iterative method.
Complex reactive transport problems are more commonly solved numerically.
Is then solved numerically.
See also
The resulting coupled nonlinear differential equations are solved numerically.
The axisymmetric problem is solved numerically using finite element analysis.
Three nonlinear boundary value problems are then solved numerically.
The disturbance equations are then solved numerically on the basis of linear stability theory.
Our system is described by a set of langevin equations which were solved numerically.
This system of equations have been solved numerically using an eigenvalue code.
The analysis is complex and results in an integral which has to be solved numerically.
The Colebrook equation is usually solved numerically due to its implicit nature.
The fluid evolution is simulated by the shallow water equations and solved numerically.
Such a system is then analyzed and solved numerically by using IMEX schemes.
The paper presents the complete mathematical model of the device that is solved numerically.
The equations are solved numerically.
Equation 9 is solved numerically or with a software of reliability analysis.
The ordinary differential equations system was solved numerically by rosenbrock method.
The reduced model is solved numerically using the technique of bi-conjugate gradient bcg.
The Fourier equations valid for heat conductivity were solved numerically by the difference.
The set of odes was solved numerically through an adaptive time-step algorithm.
Often however, the equation must be solved numerically.
However, the equation can be solved numerically in k given the values of n, m and a.
The equations are non-linear and must be solved numerically.
Such a system of equations can be solved numerically by using a non-linear optimization solver.
There is no analytical solution to the equation, so it must be solved numerically.
Shell equation are solved numerically by FEM.
This is in effect a transcendental equation, which must be solved numerically.
The governing momentum and energy equations are solved numerically with finite-difference approximations.
Moreover, numerous invalid solutions must be eliminated if the system is solved numerically.
These TIMF equations are successfully solved numerically for the case of short-range forces.
As another option, the system of equations may be solved numerically.
Equation 30 can be discretized and solved numerically by using a Semi-Lagrangian method.
In the general case, this equation should be solved numerically.
Equation 29 can be discretized and solved numerically by using solvers such as the Gauss-Seidel method.
According to another embodiment, the equation system is solved numerically.
The DAE system is solved numerically using Matlab 's ode15s function.
The problem is formulated as a sequential two-option problem and solved numerically.
This system of partial differential equations is solved numerically using finite-volume methods.
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