Singly diagonally implicit runge-kutta fourth and fifth order methods for solving delay differential equations

This paper presents Singly Diagonally Implicit Runge-Kutta method based on cubic-spline Interpolation for the numerical solution of delay differential equation. The advantage of implicit Runge-Kutta methods is in their superior stabilitycompared with the explicit methods, more so when applied to food limited equations. Our objective is to develop a scheme for solving Delay Differential equation using singly diagonally implicit Runge-Kutta method of 4th order and 5th order with the food limited population model equation and discussed about stability region. Errors of numerical results are compared with exact solution. This study is implemented with matlab programming.