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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A second order accurate, decoupled numerical scheme for magnetohydrodynamic equations
磁流体 动力学方程 二阶精确解 耦数值方案
2023/4/27
A temporally second-order accurate, fully discrete finite element method is proposed and analyzed for the magnetohydrodynamic (MHD) equations. A modified Crank-Nicolson method is used to discretize th...
Existence of Periodic Solutions for Second Order Rayleigh Equations With Piecewise Constant Argument
Rayleigh equation deviating argument piecewise constant argument periodic solution Mawhin's continuation theorem
2010/2/26
Based on a continuation theorem of Mawhin, periodic solutions are found for the second-order Rayleigh equation with piecewise constant argument.
On Positive Solutions of Boundary Value Problems for Nonlinear Second Order Difference Equations
Difference equations boundary value problems positive solutions Green's function fixed point theorem in cones
2010/2/26
In this paper we study nonlinear second order difference equations subject to separated linear boundary conditions. Sign properties of the associated Green's functions are investigated and existence r...