Solution of an Integral-Differential Equation Arising in Oscillating Magnetic Fields Using Local Polynomial Regression

被引:0
作者
Li, Fenglan [1 ]
Yan, Tianshun [2 ]
Su, Liyun [2 ]
机构
[1] Lib Chongqing Univ Technol, Chongqing 400054, Peoples R China
[2] Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
关键词
HOMOTOPY PERTURBATION METHOD; NUMERICAL-SOLUTION; SYSTEM;
D O I
10.1155/2014/101230
中图分类号
O414.1 [热力学];
学科分类号
摘要
An integrodifferential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. The local polynomial regression method (LPR) is used to solve this equation. The reliability of this method and the reduction in the size of computational domain give this method a wider applicability. Several representative examples are given to reconfirm the efficiency of these algorithms. The results of applying this theory to the integro-differential equation with time-periodic coefficients reveal that LPR method possesses very high accuracy, adaptability, and efficiency.
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页数:9
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