Meshfree methods: An efficient advanced computing approach for Bio-medical problems

This paper demonstrates the power of one of the recent but strong computing method for solving ordinary partial differential equations (ODE) & partial differential equations (PDE). Many mathematical models are governed by differential equations and hence due to large data involved, the only possible solution is numerical solution. The basic features of the meshfree methods with special reference to Element free Galerkin method (EFGM) has been presented here. To show its efficiency, one problem as a case study on heat transfer has been solved using this technique. In this problem, unsteady, laminar boundary layer flow of an incompressible, viscous and electrically conducing fluid over a horizontal stretching sheet is considered and governing non-linear partial differential equations are solved with element free galerkin method. The impact of various parameters used in element free galerkin method like penalty parameter, scaling parameter and different weigh functions on obtained velocity and temperature profiles is discussed in detail.