Mesh based methods such as FEM has achieved a remarkable success in solving many engineering and science problems. However, it is widely known that the solution accuracy of these methods is largely depends on the quality of mesh generated. This becomes a serious problem when the mesh becomes distorted or changes with time. Moreover, the generation of higher order shape functions is also difficult for these methods. Due to these problems, mesh based methods are not well suited for certain types of problems such as strongly non-linear heat transfer and growth under thermo-elastic...