Examples of 'analytical solution' in a sentence

Meaning of "analytical solution"

An analytical solution refers to a mathematical or computational method used to solve a problem or equation by obtaining a precise solution. It involves using techniques such as algebraic manipulation, calculus, or logical reasoning to derive an explicit expression or formula for the unknown variables or function

How to use "analytical solution" in a sentence

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analytical solution
Note that this analytical solution is approximate.
These equations do not have an analytical solution.
The analytical solution to that equation is then.
There is no closed form analytical solution for it.
An analytical solution including a reduced numerical cost is proposed.
Z yields a simple analytical solution to the.
Analytical solution for your project.
This system has no analytical solution.
The analytical solution can be programmed conveniently in a computer.
There is no known exact analytical solution.
It gives an analytical solution in simple cases.
It seems to be possible to get an analytical solution.
Analytical solution may be calculated by separation of variables method.
And the corresponding analytical solution is.
A complete analytical solution is provided for the tangential traction.

See also

So this differential equation has an analytical solution and.
We have found an analytical solution for the unidimensional problems.
Resulting differential equation has no known analytical solution.
Their analytical solution is obtained only for particular cases.
Also known as analytical solution.
Yield envelopes of these materials are calculated from analytical solution.
Analytical solution of this expression is still only possible in rare cases.
Does not yield an analytical solution.
An analytical solution of the two star sight problem of celestial navigation.
In the absence of an analytical solution.
The analytical solution is obtained by using a spherical coordinate system of reference.
Explain how numerical solution differ from analytical solution.
The analytical solution.
These types of problems have difficulty obtaining the analytical solution.
Analytical solution of the differential equation of motion importance of initial conditions.
The third integral however does not have a simple analytical solution.
An analytical solution for relatively small amplitudes has also been obtained.
Most of the nonlinear differential equations do not have an analytical solution.
The analytical solution is allowed for a very limited number of theoretical cases.
Not all problems even require a fully engineered analytical solution.
Analytical solution is hard to implement and you need easy simple code.
It seems that there is no facile analytical solution for the given problem.
To conclude experimental data are compared with numerical results and analytical solution.
Formulation of a three dimensional analytical solution to evaluate stress in backfilled vertical narrow openings.
This model is given as a differential equation for which no general analytical solution exists.
An analytical solution is used where the snow is taken as uniform throughout its depth.
Comparison of finite difference calculation with analytical solution and test results.
The comparison with an analytical solution and experimental data validates the model.
Choose between different configurations to find the best analytical solution for your tasks.
Analytical solution of this integral is impossible for all but the simplest diffraction geometries.
The results are compared with an analytical solution based on the flat piston approximation.
The analytical solution of the reduced model is the exact projection of the original one.
Results of numerical solution are compared with the analytical solution using a usual mhd problem.
The analytical solution is utilized to also solve the scattering problem for the system.
Teradata is the acknowledged global leader in data warehouse innovation and analytical solution development.

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