关键词: saturated porous media, saturated poroelastic Timoshenko beam, mathematical model, Laplace transform, dynamic/quasi-static bending

Abstract: By using the adaptive steplength integration scheme with a shooting iechnique a rather difficult singualr perturbation problem of ordinctry differential equations with houndary layers can be calculated effectivcly.Computing examples are given in this paper.which show the convergence within one iterdtion of the method in the case of a lintear problem.the efficiency of the method for many boundary lavers and turning points.especially the convenience in calculating muliple solutions. compartson with traditional difference method is given at the end of this paper.

Key words: saturated porous media, saturated poroelastic Timoshenko beam, mathematical model, Laplace transform, dynamic/quasi-static bending