Mathematical Analysis of Stiff and Non-Stiff Initial Value Problems of Ordinary Differential Equation Using Matlab

Abstract- Many important and complex systems from different fields of sciences are modeled using differential equations. Due to the complexity of these systems, analytical methods are often difficult or impossible to implement for such problems and so numerical methods are the way out. The advent of computer applications like MATLAB starting from the mid 20th century has made a drastic improvement in numerical solutions for differential equations. In this work, we present the solvers in MATLAB for obtaining numerical solution for initial value problems of ODEs – ode45, ode23, ode113, ode15s, ode23s, ode23t, ode23tb. Six problems are solved, three of which are stiff and three non-stiff using the relevant MATLAB solvers and the solutions are presented