A multisympletic system for the symmetric regularized long wave (SRLW) equation is obtained with canconical momentum. The system satisfies the multisymplectic conservation law. A Fourier pseudo-spectral method which adapts to periodic boundary conditions in space is introduced. An Euler mid-point scheme in time and a Fourier pseudo-spactral method in space are used to the muhisymplectic formulation of the SRLW equation. It makes a multisymplectic Fourier pseudo-spectral scheme. Several discrete conservation laws of this scheme are proved; Numerical experiments are performed to simulate the single soliton solution. The chase, collision and separation of multi-soliton solutions are simulated.

The Lattice Boltzmann Method of the 2D convection-diffusion equation is described using the nine-speed model on the square lattice.The coefficients in the equilibrium distribution are determined by the convection coefficient and the diffusion coefficient.The simulating results fit well with the theoretical results.