Sentence examples for are solved by using from inspiring English sources

These coupled equations are solved by using Newton's method.

These are solved by using an explicit finite difference method.

The governing partial differential equations (PDEs) are solved by using first- and second-order numerical methods.

The resulting systems of ordinary differential equations are solved by using SSP-RK54 scheme.

These equations are solved by using a MATLAB code using functions of matrices.

These equations are solved by using Galerkin's method with some special trial functions.

The equations are solved by using a finite difference method in a Cartesian grid system.

The governing non-linear coupled differential equations are solved by using the finite element technique.

The emerging implicit equations are solved by using a fixed-point iteration scheme.

The basic equations are solved by using Superposition and Galerkin methods.

Then, these equations are solved by using differential transform method (DTM) in the frequency domain.