A second-order accurate difference method for systems of hyperbolic partial differential equations

摘要: Abstract : A second order accurate difference method is presented for systems of first hyperbolic differential equations. The analogous to the Courant, Isaacson, Rees (CIR) method, except that error introduced in one time step 0(delta t cubed) instead squared) as case CIR method. Convergence proposed established. cumulative at a fixed shown be squared). compared with several other methods by considering detail special system equations governing flexural wave propagation elastic beams. These comparisons indicate has substantial advantages over considered computationally stable larger mesh sizes. As result, less computing required obtain solutions given accuracy. (Author)