The analytical fuzzy triangular solutions for both one-dimensional homogeneous and non-homogeneous wave equations with emphasis on the type of [gH-p]-differentiability of solutions are obtained by using the fuzzy D'Alembert's formulas. In the current article, the existence and uniqueness of the ...
aThe minimalist open dial of the TES is characterized by its uniquely English style: discreet opulence offset by the elegance of polished and satin-finished hands, three-dimensional triangular polished indexes. TES的最低纲领派开放拨号盘描绘的是为它独特地英国样式: 谨慎富裕由polished和satin-finished手...
These solutions are the Burgers shock waves and the triangular waves respectively. The Burgers shock waves have a jump discontinuity when the viscosity approaches zero and they are stable. This stability claim will be proved in section 5.3. But the triangular wave is not stable and is only a ...
A six noded triangular finite element has been proposed to model variable order singularities in the first derivatives of field variables occurring at multiple locations (up to three) lying in close proximity. The element satisfies the c... S.,K.,Maiti - 《International Journal for Numerical Me...
gravitational waves gives rise to a Goursat problem in the triangular region 1 ≤ x < y ≤ 1 for a certain 2 × 2 matrix valued nonlinear equation... AS Fokas,LY Sung,D Tsoubelis - 《Mathematical Physics Analysis & Geometry》 被引量: 11发表: 1998年 Numerical simulation of internal waves...
In this article, we construct new higher order finite element spaces for the approximation of the two-dimensional (2D) wave equation. These elements lead to explicit methods after time discretization through the use of appropriate quadrature formulas which permit mass lumping. These formulas are cons...
For this, we consider regular (quasi-uniform) tessellations using \(N_{\text {elm}}\) conforming non-overlapping affine triangular elements. The computational domain, \(\Omega _h\), is thus defined by $$\begin{aligned} \Omega _h = \bigcup _{n = 1}^{N_{\text {elm}}} \Omega ^...
[44]. Veeresha et al. provide an illustrative example of the novel numerical surfaces used in the mathematical model of cancer chemotherapy [45]. The solution for the combined modified Boussinesq and approximate long wave was reported by Veeresha et al. [46]. Using the energy-dependent ...
The solutions obtained in this paper include rational triangular periodic wave solutions, rational solitary wave solutions and rational wave solutions. The efficiency of the method can be demonstrated on (2 + 1)-dimensional Burgers equation. (c) 2005 Elsevier Ltd. All rights reserved. 展开 ...
A new continuum model with consideration of driver???s forecast effect is obtained to study the density wave problem and the stop-and-go phenomena. The stability condition of the new model is derived by using linear analysis. The triangular shock wave, one type of density wave, which is det...