In this paper, the complex method is used to derive meromorphic solutions to some
algebraic differential equations related Painlevé equation IV, and then we illustrate our main …

© 2017 University of Houston. In this paper, the complex method is employed to derive mero-
morphic solutions to a class of algebraic differential equations related to Painlevé equation …

The purpose of this work is to introduce a new kind of finite difference formulation inspired
from Fourier analysis, for reaction-diffusion equations. Compared to classical schemes, the …

In this article, a new kind of finite difference scheme that is exponentially fitted, inspired from
Fourier analysis, for a fourth space derivative was developed for solving diffusion problems …

The q-difference Painlevé II equation admits special solutions written in terms of
determinants whose entries are the general solution of the q-Airy equation. An ultradiscrete …

Blow-up and global self-similar solutions of the semilinear dispersion equation ut= uxxx+ µ (|
u| p-1u) xx in R× R+, p> 1, with sufficiently good initial data u (x, 0)= u0 (x) in R, for µ=±1, are …

The simplest upwind discretization of the advection equation is only first‐order accurate in
time and space and very diffusive. In this article, the first‐order upwind method is improved …

This study focuses on symplectic integrators for numerical evaluation of the asymptotic
solutions of the nonlinear Airy-type equations obtained by reducing the nonlinear dispersive …