Variational Iteration Method for the Solution of Seventh Order Boundary Value Problems using He’s Polynomials

Abstract

The induction motor behaviour is represented by a fifth order differential equation model. Addition of a torque correction factor to the model accurately reproduces the transient torques and instantaneous real and reactive power flows of the full seventh order differential equation model. The variational iteration method using He’s polynomials is employed to solve the seventh order boundary value problems. The approximate solutions to the problems are obtained in terms of a rapidly convergent series. Several numerical examples are given to illustrate the implementation and the efficiency of the method.