Earticle

초록

영어

Parameter identification problem has important research background and research value, has become in recent years inverse problem of heat conduction of top priority. This paper studies the Parabolic Equation Inverse Problems of parameter identification problem, and applies PSO to solve research. Firstly, this paper establishes the model of the inverse problem of partial differential equations. The content and classification of the inverse problem of partial differential equations are explained. Frequently, the construction and solution of the finite difference method for parabolic equations are studied, and two stable schemes for one dimensional parabolic equation are given. And two numerical simulations were given. Partial differential equation discretization was with difference quotient instead of partial derivative. The partial differential equations with initial boundary value problem into algebraic equations, and then solving the resulting algebraic equations. Then, the basic principles of PSO and its improved algorithms are studied and compared. Particle swarm optimization algorithm program implementation. Finally, the Parabolic Equation Inverse Problems of particle swarm optimization algorithm performed three simulations. We use a set of basis functions gradually approaching the true solution, selection of initial value. The reaction is converted into direct problem question, then use difference method Solution of the direct problem. The solution of the problem with the additional conditions has being compared. The reaction optimization problem is transformed into the final particle swarm optimization algorithm to solve. Verify the Parabolic Equation Inverse Problems of particle swarm optimization algorithm correctness and applicability.

목차

Abstract
 1. Introduction
 2. The Model and Classification of the Inverse Problem
 3. Particle Swarm Optimization
  3.1. Basic Particle Swarm Optimization Algorithm
  3.2. Algorithmic Processes
 4. Improved Particle Swarm Optimization Algorithm
 5. Numerical Simulation
 6. Summary
 References

키워드

저자

• Peng Yamian [ College of Science, North China University of science and technology, Tangshan, Hebei,China ]
• Ji Nan [ College of Science, North China University of science and technology, Tangshan, Hebei,China ]
• Zhang Huancheng [ Qinggong College, North China University of science and technology, Tangshan, Hebei,China ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Database Theory and Application

• 간기

  격월간

• pISSN

  2005-4270

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605