Numerical technique for integro-differential equations arising in oscillating magnetic fields

被引：0

作者：

Ghasemi, M. ^{[1
]}

机构：

[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, Shahrekord, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2014年 / 38卷 / A4期

关键词：

Integro-differential equation; Chebyshev wavelet; charged particle motion; oscillating magnetic field; SINE-COSINE WAVELETS; OPERATIONAL MATRIX; CHEBYSHEV WAVELETS; INTEGRATION; SYSTEMS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we propose the Chebyshev wavelet approximation for the numerical solution of a class of integro-differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields. We show that the Chebyshev approximation transform an integral equation to an explicit system of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new technique.

引用

页码：473 / 479

页数：7

共 22 条

[1]

[Anonymous], 2002, APPL MATH E-NOTES

[2]

[Anonymous], 1991, ANN U SCI BP SECT CO

[3] High impedance fault location in 11 kV underground distribution systems using wavelet transforms [J].

Bakar, A. H. A. ;

Ali, M. S. ;

Tan, ChiaKwang ;

Mokhlis, H. ;

Arof, H. ;

Illias, H. A. .

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 2014, 55 :723-730

[4]

Canuto C., 2012, Spectral Methods in Fluid Dynamics

[5] Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method [J].

Dehghan, M. ;

Shakeri, F. .

PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2008, 78 :361-376

[6] Numerical solution of linear Fredholm integral equations using sine-cosine wavelets [J].

Ghasemi, M. ;

Babolian, E. ;

Kajani, M. Tavassoli .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2007, 84 (07) :979-987

[7] Numerical solution of time-varying delay systems by Chebyshev wavelets [J].

Ghasemi, M. ;

Kajani, M. Tavassoli .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (11) :5235-5244

[8]

Heydari M, 2012, IRAN J SCI TECHNOL A, V36, P13

[9] An algorithm for improving the coefficient accuracy of wavelet packet analysis [J].

Jiao, Xintao ;

Ding, Kang ;

He, Guolin .

MEASUREMENT, 2014, 47 :207-220

[10] Numerical solution of linear integro-differential equation by using sine-cosine wavelets [J].

Kajani, M. Tavassoli ;

Ghasemi, M. ;

Babolian, E. .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (02) :569-574

← 1 2 3 →