An improved differential evolution algorithm with a restart technique to solve systems of nonlinear equations

Abstract

In this research, an improved differential evolution algorithm with a restarttechnique (DE-R) is designed for solutions of systems of nonlinear equationswhich often occurs in solving complex computational problems involving variablesof nonlinear models. DE-R adds a new strategy for mutation operationand a restart technique to prevent premature convergence and stagnation duringthe evolutionary search to the basic DE algorithm. The proposed methodis evaluated on various real world and synthetic problems and compared withthe recently developed methods in the literature. Experiment results show thatDE-R can successfully solve all the test problems with fast convergence speedand give high quality solutions. It also outperforms the compared methods.