Search

Two new difference schemes are proposed for an initial-boundary-value problem of the Klein-Gordon-Zakharov (KGZ) equations. They have the advantage that there is a discrete energy which is conserved. Their stability and convergence of difference solutions are proved in order O(h² + τ²) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes. [ABSTRACT FROM AUTHOR]

A long elastomer with rectangular section bonded between two parallel rigid surfaces will come about deformation because of the role of two opposite shear forces in both the top and bottom plate. The mathematic model of the deformation is deduced and a new difference solving process is proposed. For boundary condition with singularity, a detailed analysis and deduction is given and a new rational and effective discrete boundary condition is proposed. Simulate computation demonstrates that the result is identical with qualitative analysis. Therefore, a new and functional numerical method and quantitative analysis method are provided. [ABSTRACT FROM AUTHOR]