Numerical Solutions of System of First Order Normalized Linear Differential Equations by Using Bernoulli Matrix Method

Systems of first order differential equations have been arisen in science and engineering. Specially, the systems normalized linear appear geometry kinematics problems. Solution them is quite difficult analytically; therefore, numerical methods need for approximate solution. In this study, by means a matrix method related to truncated Bernoulli series we find solutions Frenet-Like system with variable coefficients upon initial conditions. This transforms mentioned problem into algebraic using relations collocation points; so, required results along are obtained usability discussed.