Abstract Hybrid Boundary Value Method (HyBVM) is a new scheme, which based on Linear Multistep (LMM). The HyBVM the hybrid version of Methods (BVMs) are methods derived to overcome limitations LMMs. This scheme shares same characteristic with Runge Kutta method as data utilized at off-step points. In this work, we apply two second order Problems (BVPs) mixed boundary conditions and results effi...