Examples of 'numerical solution' in a sentence
Meaning of "numerical solution"
A numerical solution is an approximation or estimation of a mathematical problem or equation using numerical methods. It involves using algorithms, computational techniques, and computer simulations to obtain a solution that is close to the exact solution of the problem. Numerical solutions are commonly used in various fields of science and engineering where analytical or exact solutions are either difficult or impossible to obtain
How to use "numerical solution" in a sentence
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numerical solution
Analytical and numerical solution of beam bending.
There are various methods for numerical solution.
The numerical solution depends of the discretization.
We therefore entirely focus on the numerical solution.
Numerical solution of the turbulent boundary layer equations.
Are the degrees of freedom of the numerical solution.
This requires numerical solution by some iterative method.
A finite difference implicit scheme was used in the numerical solution.
Simple methods of numerical solution of some differential equations.
Continuum models must often be discretized in order to obtain a numerical solution.
Numerical solution is based on the finite volume approach.
Also for complex geometries numerical solution methods are proposed.
Numerical solution of linear systems.
An approximation of a more rigorous numerical solution can also be provided.
Method of numerical solution of differential equations of the second order.
See also
Convergence of the numerical solution.
The numerical solution uses a central finite differences scheme.
The comparison between numerical solution and exact solution.
Numerical solution of differential equation governing ion exchange in glass.
Errors of approximations represent characterizing the quality of the numerical solution.
Explain how numerical solution differ from analytical solution.
The research of collision is make through numerical solution of the motion equation.
Numerical solution procedures.
And then we can evaluate numerical solution at any location in physical domain.
Numerical solution of heat and mass transfer problems described by general equation of diffusion.
Provision of server systems for the numerical solution of extensive physical models.
The numerical solution is in perfect agreement with the exact solutions.
The problem at this stage from numerical solution perspective is a standard problem.
A numerical solution can be obtained providing stress levels on the hull.
Linear multistep methods are used for the numerical solution of ordinary differential equations.
Different numerical solution strategies are derived from the proposed variational models.
The third chapter is devoted to the numerical solution of the equations in steady state.
A numerical solution for the governing momentum and energy equations is obtained.
Then we show if and how the numerical solution differs from the analytical.
The numerical solution of these equations involves greatly reduced computational time.
The results agree well with a numerical solution using the original isotherm.
The numerical solution of the resulting linear system will be addressed by a multiscale multi.
The analysis is accomplished by the numerical solution of integral equations for induced currents.
The numerical solution of the problem is carried out by using a finite element method.
Details of the theoretical development and the resulting numerical solution techniques are presented.
An algorithm for the numerical solution of the problem in question is proposed.
Its limitations and the challenges raised by its numerical solution are laid out.
It is observed that the numerical solution is well fitted to the experimental response.
The computational model was evaluated to quantify errors associated with the numerical solution.
The numerical solution of the integral equation shows a nice transition to the continuum.
It needs a conservative projection of the numerical solution from one scheme to the other one.
Results of numerical solution are compared with the analytical solution using a usual mhd problem.
The matric potential profile generated by the heuristic solution is close to the numerical solution.
Its value is obtained by numerical solution of the quadratic equation obtained from this equality.
The figure below shows the temperature distribution for the numerical solution case.
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