Sentence examples for method and derived from inspiring English sources

Saadatmandi and Dehghan [17] and Doha et al. [18] extended the operational matrices method and derived operational matrices of fractional derivatives for orthogonal polynomials and used it for solving different types of FDEs.

The results are compared with those obtained by dual boundary element method and derived from the code of practice.

The method and derived Markov chains shown here have utility in hydrological modelling, regional carbon estimates, and in the modelling of disturbances such as wildfire.

Douc et al. [18] investigated the population Monte Carlo method and derived sufficient convergence conditions for adaptive mixtures, and also iterative formulae for the optimal weights [19].

Very recently, Ceng and Al-Homidan [23] introduced and analyzed the following iterative algorithm by the hybrid steepest-descent viscosity method and derived its strong convergence under appropriate conditions.

Liu (1999) solved the buckling differential equation with the Galerkin method and derived the critical helical buckling loads in build and drop-off wellbore sections by letting the minimum contact force on the tubular string be 0. Liu's results indicate that the up-limit value of the sinusoidal buckling is rather close to the critical helical buckling load.

The aim of this study is to revise the existing OTTV calculation method and derive a set of correction factors for OTTV evaluation of green roof integrated buildings.

We study explicit implementations of the method and derive different choices of stabilizing streamline diffusion matrices; in particular we propose a consistent, fully multidimensional, version.

Additionally, we expand this method and derive a reliable blind DRR estimator.

Based on the interference analysis, we find the optimal decision threshold using the maximum-a-posterior (MAP) detection method and derive the corresponding bit error rate (BER) performances of different transmitters.

In Section 2, we present our new method and derive its properties.