Morgan-Voyce even Fibonacci neural network for numerical simulation of nonlinear Lienard’s equation

In the current study, we design a new computational method for solving a class of Lienard’s equations. This equation arises in the development of radio and vacuum tube technology. To attain the proposed goal, we construct an artificial neural network method with three layers (input layer, hidden layer, output layer). We use the Morgan-Voyce even Fibonacci polynomials and Sinh function as activation functions of the hidden layer and the output layer, respectively. Then, the classical optimization method is applied to train this neural network. At last, two examples are examined with graphs and tables to demonstrate the efficiency and accuracy of the numerical plan.