Project supported by the National Natural Science Foundation of China(Nos.11872186 and11272126);the Fundamental Research Funds for the Central Universities(No.HUST:2016JCTD114)
The definitions of the third-order elastic,piezoelectric,and dielectric constants and the properties of the associated tensors are discussed.Based on the energy conservation and coordinate transformation,the relations...
the Shahrood University of Technology for financial support of this study
Equations of steady inviscid and laminar flows are solved by means of a third-order finite volume (FV) scheme. For this purpose, a cell-centered discretization technique is employed. In this technique, the flow para...
Lie symmetry method is applied to analyze a nonlinear elastic wave equation for longitudinal deformations with third-order anharmonic corrections to the elastic energy. Symmetry algebra is found and reductions to seco...
supported by the National Key Basic Research Project of China (973 Program)(No. 2004CB318000)
Group classification of quasilinear third-order evolution equations is given by using the classical infinitesimal Lie method, the technique of equivalence transformations, and the theory of classification of abstract ...
the National Natural Science Foundation of China(Nos.10676031,50675185);the Ph.D. Programs Foundation of Ministry of Education of China(No.20070530003);the Key Project of Chinese Ministry of Education(No.208093);the Scientific Research Fund of Hunan Provincial Education Department(No.07A068)
A third-order numerical scheme is presented to give approximate solutions to multi-dimensional hyperbolic conservation laws only using modified coefficients of an essentially non-oscillatory (MCENO) scheme without i...
Project supported by the National Natural Science Foundation of China(No.10671113);the Natural Science Foundation of Shandong Province of China(No.Y2003A04)
A group of asymmetric difference schemes to approach the Korteweg-de Vries (KdV) equation is given here. According to such schemes, the full explicit difference scheme and the full implicit one, an alternating segme...
According to the Liu's weighted idea, a space third-order WNND (weighted non-oscillatory, containing no free parameters, and dissipative scheme) scheme was constructed based on the stencils of second-order NND (non-os...
Third order singulary perturbed boundary value problem by means of differential inequality theories is studied. Based on the given results of second order nonlinear boundary value problem, the upper and lower solution...
The singularly perturbed boundary value problem for quasilinear third-order ordinary differential equation involving two small parameters has been considered. For the three cases epsilon/mu (2) --> 0(mu --> 0), mu (2)...