Sentence examples for by comparing the solution from inspiring English sources

Validation of the numerical technique has been performed by comparing the solution for an individual hydraulic fracture with a Khristianovic-Geertsma-de Klerk (KGD) solution.

The capabilities of the proposed approach are investigated through various numerical examples by comparing the solution accuracy versus the computational expenses.

The validity of the moment technique to solve these equations has been investigated by comparing the solution obtained by the numerical method with that obtained by the moment technique.

Numerical experiments are performed for static and natural frequency calculation and the superconvergent property of the formulated element is shown by comparing the solution with the standard 1-D FE beam element and 2-D FEM.

By comparing the solution intercalation of polystyrene and poly ethyl methacrylate) from different solvents, it is concluded that the interactions between polymer surfactant, solvent surfactant, and polymer solvent play important role for the solution intercalation of polymers.

We demonstrate the impact of neglecting system dynamics by comparing the solution prescribed by a simpler, linear model with that of our MINLP for a case study consisting of a large hotel, located in southern Wisconsin, retrofitted with solid-oxide fuel cells (SOFCs) and a hot water storage tank.

Having obtained a parametric expression of optimal objective for each design, the optimal solution can be determined by comparing the solutions for different designs.

The accuracy of the present results is validated by comparing the solutions with those reported by the available literatures.

The credentials of the proposed procedures are established by comparing the solutions with pertinent results from direct Monte Carlo simulations.

Furthermore, the practical relevance of the metaheuristic results is demonstrated by comparing the solutions thus obtained to the current SAFARI-1 reload configuration design approach.

The validity of the two modelling approaches is assessed by comparing the solutions to a 3D finite element model capturing the actual shape of the laminate.