Lim and Steele [ 11] adopted a hybrid WKB-numeric solution for their nonlinear active cochlear model, in which the WKB method was used in the short wave region and numerical Runge-Kutta method was used in the long-wave region, to keep computation fast and efficient.
Moreover, the numeric solution of the model is figured out by Lingo Software.
The results, obtained by a numeric solution of the models using the PRISM model-checker, show that they are computationally practical for realistic configurations and that the GMP can achieve reliability levels in the range required for safety critical applications.
This paper is concerned with the comments on "A simple and accurate numeric solution procedure for nonlinear buckling model of drill string with frictional effect".
Different numeric solutions (NS) can be designed for SQ or MMQ data.
Analytic and numeric solutions to warping displacements, refined constitutive equations, and correction factors for circular, rectangle, triangle, and open annular cross sections of isotropic material are compared with expressions in literature.
Thereafter we investigate the model dynamics using deterministic numeric solutions, stochastic simulations, and analytic studies.
Combining CrasyDSE with DoFun there exists a sound framework for the treatment of all such systems of DSEs, from their derivations to their numeric solutions.
Corroborative simulations using a range of time and space steps confirmed that this gave accurate and convergent numeric solutions.
This imaging procedure succeeds if several assumptions are fulfilled: first, the velocity model used for imaging has to be accurate; second, the numeric solution to the wave-equation used for wavefield reconstruction has to be accurate; third, the data need to be sampled densely and uniformly on the acquisition surface.
