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The numerical solution of time-delay differential equations using the Runge-Kutta method is a widely-used technique in mathematical modeling. In particular, the implementation of this method in MATLAB has allowed for greater accuracy and efficiency in solving complex problems. The Runge-Kutta method, named after mathematicians Carl David Tolmé Runge and Martin Wilhelm Kutta, involves a family of implicit and explicit numerical methods. It is based on dividing the time interval into smaller subintervals and computing the solution in each subinterval. Specifically, the method involves computing intermediate values of the solution at several points within the subinterval. These values are then used to calculate the final solution at the end of the subinterval. Therefore, the Runge-Kutta method provides an effective solution for the numerical approximation of time-delay differential equations.