Numerical solution of inhomogeneous and non‐linear ordinary differential equations using the TLM multicompartment model

Abstract The paper presents a simple algorithm for solving a system of inhomogeneous high order differential equations with variable coefficients. The method also provides a numerical solution to non‐linear ordinary differential equations. The technique is based on reducing the high order equations into a system of first order rate equations. Through a simple translation process, the variables in the reduced set of equations are solved simultaneously by an iterative scheme using the TLM multicompartment model. The numerical technique is demonstrated by solving well‐known second order differential equations. The numerical solutions are compared with the analytical solutions to the differential equations.