Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this study, fractional differential equations having quintic nonlinearity are considered by proposing an accurate numerical method based on the matching polynomial and matrix‐collocation system that provides an integration between matrix and fractional derivative, which makes it fast and efficient.
6 citations
TL;DR: Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of the traveling wave ODEs of the cubic-quintic Ginzburg-Landau equation, and the multiplicities and interactions of the plane wave solutions are comprehensively deduced.
6 citations
TL;DR: The main purpose of as mentioned in this paper is to study the problem of simultaneous existence of two isochronous centers in some families of planar polynomial differential systems with symmetry, including Z 2 -equivariant systems of degree 5.
6 citations
6 citations
01 Nov 2018
TL;DR: A quintic non-polynomial spline approach coupled with $L1$ formula for the numerical treatment of time-fractional nonlinear Schrödinger equation and the unconditional stability is proved by Fourier method.
Abstract: In this paper, we propose a quintic non-polynomial spline approach coupled with $L1$ formula for the numerical treatment of time-fractional nonlinear Schrodinger equation. The unconditional stability is proved by Fourier method for $0 , where $\gamma$ is the order of the Caputo time-fractional derivative. The efficiency of the proposed numerical scheme is illustrated by numerical experiments, where the simulation results indicate better performance over previous work in the literature.
6 citations