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


Research Paper (postgraduate), 2019

50 Pages


Abstract or Introduction

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.

Details

Title
On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method
Authors
Year
2019
Pages
50
Catalog Number
V455364
ISBN (eBook)
9783668866546
ISBN (Book)
9783668866553
Language
English
Keywords
exact, solution, nonlinear, differential, equations, using, variational, iteration, method, homotopy, perturbation
Quote paper
Mohsen Soori (Author)S. Salman Nourazar (Author), 2019, On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method, Munich, GRIN Verlag, https://www.grin.com/document/455364

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