A numeric three stage trio-geometric mean Runge-Kutta approach over Verhulst equation on population dynamics
The numerous models in science and engineering, statistics and population dynamics are articulated in the terms of unidentified amounts and their derivatives. Movement of objects, flow of heat, materials twisting and cracking, vibrations and nuclear reaction, growth and decay of species etc., all these are modeled in terms of differential equations. Present paper is based on solving logistic model of population using the trio-geometric mean based three stage Runge-Kutta method to solve autonomous initial value problem. Convergence of the method is established and the method is compared with other competent methods in terms of accuracy and error analysis and it is found that proposed method is more compatible on logistic model with respect to several other existing methods.