An efficient algorithm based on artificial neural networks and particle swarm optimization for solution of nonlinear Troesch's problem

摘要: In this article, a simple and efficient approach for the approximate solution of nonlinear differential equation known as Troesch's problem is proposed. mathematical model described which arises in confinement plasma column by radiation pressure. An artificial neural network (ANN) technique with gradient descent particle swarm optimization used to obtain numerical problem. This method overcomes difficulty arising literature eigenvalues higher magnitude. The results obtained ANN have been compared analytical solutions well some other existing techniques. It observed that our are more provided on continuous finite time interval unlike main advantage proposed once trained, it allows evaluating at any required number points magnitude less computing memory.