On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method

Research Paper (postgraduate) from the year 2019 in the subject Mathematics - Applied Mathematics, , language: English, abstract: In this paper, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method (HPM) are applied to solve the non-linear differential equations. The Newell-Whitehead-Segel equation, the Burgers-Huxley, the Burgers-Fisher equation, the Fitzhugh-Nagumo Equation, the Fisher Type Equation are studied in different chapters and exact solutions are also obtained. A comparison is made between obtained results in finding the exact solution of the equation in order to present precision of the methods. The results prove capability and great potential of the methods as effective algorithms in order to obtain the exact solution of non-linear differential equations.

Mohsen Soori (Persian: ???? ????; born on May 06, 1980 in Qom, Iran) is an Iranian researcher in Mechanical Engineering. His research works apply virtual environments to manufacturing processes and products in order to be analyzed and modified. Mohsen Soori was born in Qom, Iran. He educated in Iran and received his B.Sc. and M.Sc. in Mechancial Engineering from Shahid Rajaee Teacher Training University and Amirkabir University of Technology (Tehran Polytechnic) in 2007 and 2012 respectively. He is currently Ph.D. candidate in Mechanical Engineering at the Eastern Mediterranean University, Famagusta, Cyprus. His research interests are Computer Aided Design and Manufacturing (CAD/CAM), Computer Integrated Manufacturing(CIM), Virtual Manufacturing and Applied Mathematics.