The aim of study is to mathematically analyze blood flow's behavior and its part in high blood pressure. It occurs in the result of decreased cross sectional area instead of its normal size which alters the blood pressure. The primary element affecting the blood is cross sectional areas of the blood arteries that are responsible for regulation of blood in human body. The research employees a system of non-linear differential equations for a solution of cross sectional area and blood flow. A set of backward difference formula, Runge-Kutta Method, Modified Rosenbrock Formula of order 2, Trapezoidal Rule are used to solve the running issues under consideration.