Sentence examples for using the orthogonal collocation from inspiring English sources

The developed models were then reduced using the orthogonal collocation method.

Finally, global bifurcation diagrams were calculated for the full system of equations using the orthogonal collocation method.

The side fired furnace equations are algebraic equations, the top fired furnace equations are two-point boundary value differential equations which are solved using the orthogonal collocation technique.

Two mathematical models have been formulated and steady-state mass-balance gave two-dimensional differential equations, which were solved by using the orthogonal collocation technique.

The general PBE was numerically solved in both the continuous and its equivalent discrete form using the orthogonal collocation on finite elements and the discretized PBE method, respectively.

Using the orthogonal collocation approach, the partial differential equations of the model could be converted into sets of algebraic equations and be numerically solved.

The model was solved numerically by using the finite element method and the orthogonal collocation method for the discretization of partial differential equations and Gear's stiff method for the solution of the resulting ordinary differential equation system.

The mass transport equation applying to a second order gas solid reaction taking place in an isothermal spherical particle is solved by the orthogonal collocation method, using 3, 5 and 8 point collocation.

For systems with non-linear adsorption isotherms, the equivalent linear driving force (LDF) expression of adsorbate uptake rate is actually a non-linear expression which can be obtained from the approximate solution of the intraparticle diffusion equation by either the least-square method using parabolic profile approximation or by the orthogonal collocation method with one collocation point.

The generally used lumping techniques (e.g. the orthogonal collocation method) for designing the state estimator of fixed-bed reactors are not applicable in this case.

To extend the proposed global scheme to the solution of the dynamic optimization problems, the orthogonal collocation strategy is used for converting the original dynamic problem into a finite-dimensional optimization problem.