Sentence examples for based on exact solution from inspiring English sources

The results are compared with those based on exact solution of Reddy (1984) using first-order shear deformation theory, too.

Theoretical predictions based on exact solution agree with previous results and with results obtained using a numerical simulation approach.

Based on exact solution, explicit expressions for the nonlocal frequencies of a double-layered graphene sheet with all edges simply supported are also obtained.

Therefore, the present methods give better prediction results than traditional methods that are based on exact solutions.

Godunov type schemes, based on exact or approximate solutions to the Riemann problem, have proven to be an excellent tool to compute approximate solutions to hyperbolic systems of conservation laws.

Using the saturated effective mechanical properties of the Lower Goru Formation, we generate angle-dependent reflection coefficient curves (and seismic AVA responses) based on exact and approximate solutions, for both isotropic and anisotropic reservoir scenarios.

In order to obtain fully orthotropic solutions via rescaling, a novel integral equation formulation is developed based on exact infinitesimal strain elasticity solutions for rectangular domains composed of cubically symmetric media and subject to arbitrary loading.

The formulation, based on exact infinitesimal strain elasticity solutions for rectangular domains, employs a methodology recently developed by the authors to investigate both solitary defect as well as multiple defect interaction problems in layered systems under arbitrary loading.

Fleming approximation using the formulae as presented in Machin et al (2009) gives the solution as sample size n=69 and number of response r=12, which (based on exact method) is actually coming from exact α=4% and exact power=75.04%.

Based on the exact solution of a pure nonlinear differential equation, we assumed a perturbed version of the solution with time variable parameters.

Sarkar, unpublished results, based on an exact solution of Foley's model.