Sentence examples for an analytic solution is from inspiring English sources

Furthermore, an analytic solution is often not available.

Among two-point designs, an analytic solution is given for the design that maximizes the D-optimality.

The simplest subclass of viscoelastic fluids is the second grade fluid, for which an analytic solution is possible.

To this end, an analytic solution is derived by extension of the composite spheres model known from the literature.

The first test case consists in a two-dimensional fluid compression for which an analytic solution is known.

This avoids the above-mentioned difficulty and an analytic solution is obtained, which is in good agreement with the experimental results.

For the fixed boundary problem a general analytic solution is obtained in an eigenfunction expansion by a self-adjoint formalism in linear operator theory.

An explicit analytic solution is given for the first time, with recursive formulas for coefficients.

A manufactured 3D analytic solution is used to verify the theoretical development and its numerical implementation, whereas global tracer-transport benchmarks demonstrate benefits for chemistry-transport models fundamental to air quality monitoring, forecasting and control.

The accuracy of the analytic solution is validated by using a numeric scheme called finite difference method.

The obtained decomposed analytic solution is in the form of an infinite power series and the series can be truncated in a practical way to obtain numerical results.