Sentence examples for equation has been solved from inspiring English sources

The second equation has been solved by Das et al. [8] using the homotopy analysis method.

The thermal conductivity equation has been solved for the one-dimensional case.

The diffusivity equation has been solved by both OC and exact analytical solutions.

The governing Fokker-Planck equation has been solved using three different methods.

The conformally invariant linearized gravitational field equation has been solved in five different cases using ambient space formalism.

This nonlinear fractional differential equation has been solved for 3 < α ≤ 4 and different boundary value conditions [22].

The doubling of the theme had a kind of thunderous logic, as if an equation had been solved.

The simultaneous set of partial differential equations – two mass transport equations and the Poisson equation – have been solved using finite-elements.

Then, in the case of real discharges between two plane parallel electrodes, hydrodynamic equations for charge carrier conservation coupled to Poisson equation have been solved.

In this case the Langevin equations which correspond to the drift kinetic equation have been solved by splitting the particle motion into a deterministic part which is interrupted by an artificial collision event.

The univariate logistic regressions corresponding to the Wald test (as implemented in SAM) reached the maximum number of iterations before the maximum likelihood equation had been solved; they were therefore discarded, following the recommendations of Joost et al. [ 63, 64].