Solving differential equations with ant colony programming

Differential equations are widely used to model physical phenomena in the real world. In the present work, a nontraditional modified ant colony programming (ACP) method is implemented. The modified ACP algorithm is unique as it does not use the criteria of distance. It utilizes the probability function which related to the quantity of the pheromone level in the ACP. The motivation in this present work is to describe the consistency and the applicability of the nontraditional ant colony programming (ACP) method in solving various ordinary differential equations (ODE’s) and partial differential equations (PDE’s) problems. Comparatively, similar and exact solution is achieved by using the ACP approach. Illustrative numerical example as well as tables are presented for comparison purpose.