Sentence examples for derived and solved from inspiring English sources

A system of nonlinear differential and integral equilibrium equations is derived and solved using numerical continuation.

The two sets of equilibrium equations are derived and solved in a completely coupled manner.

In order to model collectors, energy balance equations are analytically derived and solved.

Using Euler Bernoulli theory, governing equations are derived and solved in every mode.

Utilizing Hamilton's principle governing equations of motion are derived and solved analytically.

Aeroelastic equations using the hybrid finite element formulation are derived and solved numerically.

The optimality system is derived and solved numerically using the forward backward sweep method (FBSM).

The exact frequency equations are then derived and solved numerically for the first three natural frequencies.

A hyper-geometric equation is derived and solved, and then the exact solutions are found.

In general, the kernels contain discontinuities for which transport equations are derived and solved.

For plane stress conditions, the governing differential equation for the stress function is derived and solved.