Application of real ant colony optimization algorithm to solve space and time fractional heat conduction inverse problem

Abstract

This paper describes the method of solution of the space fractional and 2D time fractional heat conduction inverse problem. In this paper the authors consider two models – 1D space fractional heat conduction equation and 2D time fractional heat conduction equation with the initial-boundary conditions. To solve the inverse heat conduction problem, a functional defining the error of approximate solution must be minimized. To minimize this functional the Real Ant Colony Optimization (ACO) algorithm was used. In order to reduce the computational time, the calculations were performed in a parallel (multi-threaded) way. The paper presents examples to illustrate the accuracy and stability of the presented algorithm.