flood routing in rivers is a mathematical procedure to determine flow hydrograph at a point in a river. one of routing methods is based on solution of saint-venant equations for unsteady flows. because this method is very complex and need to more information of river, other methods with simple calculations and reasonably accurate results have been extended and give generally satisfactory result...

Some biomechanical models are represented by nonlinear first order ordinary differential equations. The objective of this study is to determine the velocity of a biomechanical model that involves a cyclist coasting downhill. Two methods namely; the modified explicit and diagonally implicit fifth–order Runge–Kutta methods are utilised. The performance of the two methods is compared with the exac...

In this note we propose and analyze an implicit-explicit scheme based on second order strong stability preserving time discretisations. We also present some theoretical and numerical stability results for second order Runge Kutta IMEX schemes.