An Asymptotic Result for neutral differential equations

Abstract

We obtain asymptotic result for the solutions of neutral differential equations. Our technique depends on characteristic equations.

Numerical investigations of a new singular second-order nonlinear coupled functional Lane–Emden model

“…The present investigations show that the spectral collocation method is an effective and suitable scheme for solving the nonlinear LE second-order system of FD equations. In the future, the designed method is an alternate promising solver to be exploited to examine the computational models of fluid dynamics, wire coating model, thin-film flow, squeezing flow systems, Jeffery Hamel type of systems, stretching flow problems, calendaring models, food processing systems, and related research areas [50][51][52][53][54] 2.23 10 −9 × 2.59 10 −9 × 6.10 10 −9 × 8.50 10 −9 × 4.55 10 −9 × 7.78 10 −9 × Figure 7: E convergence of Problem III. Funding: The first author is partially supported by Ministerio de Ciencia, Innovación y Universidades grant number PGC2018-097198-B-I00 and Fundación Séneca de la Región de Murcia grant number 20783/PI/18.…”

The teaching of sports science of track and field-based on nonlinear mathematical equations

“…Shot put, high jump, and 400 hurdles are expected to be the top 8 items. The results of 100 m, 100 m hurdles, 200 m, 1500 m, javelin, long jump, and heptathlon are far from the world level [7]. Although the 20 km race walking, 5000 m, and 10000 m are not within the expected range, they can enter the top 8 according to the results of the previous Olympic Games.…”

A Neuro-Swarming Intelligence-Based Computing for Second Order Singular Periodic Non-linear Boundary Value Problems

“…Statistical interpretation of findings through performance indices of TIC, EVAF, and ENSE based on 60 executions/trials of the solver for obtaining the solution of singular periodic non-linear model validate the trustworthiness, accurateness and robustness. Moreover, the values of the mean, median and semi interquartile range tabulated in Tables 1, 2 provide the precise and accurate values of the presented scheme ANN-PSO-IPS. In future, the designed approach is a promising alternate solver to be exploited/explored to investigate the computational fluid dynamics problems, especially thin film flow, wire coating analysis, squeezing flow models, Jeffery Hamel flow, calendaring problems, stretching flow problems, food processing models, and related fields [57][58][59][60][61][62].…”