BOOK-CHAPTER

He's Variational Iteration Method

Year: 2017 Advances in mechatronics and mechanical engineering (AMME) book series Pages: 62-76   Publisher: CRC Press

Abstract

In this chapter, a variational iteration method (VIM) has been applied to nonlinear heat transfer equation. The concept of the variational iteration method is introduced briefly for applying this method for problem solving. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions. The results reveal that the VIM is very effective and convenient in predicting the solution of such problems.

Keywords:
Discretization Linearization Scheme (mathematics) Mathematics Applied mathematics Nonlinear system Iterative method Mathematical optimization Mathematical analysis Physics

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Topics

Fractional Differential Equations Solutions
Physical Sciences →  Mathematics →  Modeling and Simulation
Iterative Methods for Nonlinear Equations
Physical Sciences →  Mathematics →  Numerical Analysis
Nanofluid Flow and Heat Transfer
Physical Sciences →  Engineering →  Biomedical Engineering

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