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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.20 No.3
- 발행연도
- 2016.9
- 수록면
- 261 - 275 (15page)
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초록· 키워드
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In this paper, an integro-differential equation which arises in oscillating magnetic fields is studied. The generalized fractional order Chebyshev orthogonal functions (GFCF) collocation method used for solving this integral equation. The GFCF collocation method can be used in applied physics, applied mathematics, and engineering applications. The results of applying this procedure to the integro-differential equation with time-periodic coefficients show the high accuracy, simplicity, and efficiency of this method. The present method is converging and the error decreases with increasing collocation points.
목차
ABSTRACT
1. INTRODUCTION
2. MATHEMATICAL PRELIMINARIES
3. THE GENERALIZED FRACTIONAL ORDER CHEBYSHEV FUNCTIONS
4. APPLICATION OF THE GFCF COLLOCATION METHOD
5. ILLUSTRATIVE EXAMPLES
6. CONCLUSION
REFERENCES
참고문헌 (38)
참고문헌 신청
[학술지(정기간행물)] - J.P. Boyd / 2011 / Chebyshev spectral methods and the Lane-Emden problem / Numer. Math. Theor. Meth. Appl 4 (2) : 142 ~ 157
[학술지(정기간행물)] - K. Parand / 2013 / Solving non-linear Lane-Emden type equations using Bessel orthogonal functions collocation method / Celest. Mech. Dyn. Astr 16 (21) : 97 ~ 107
[단행본] - J. Shen / 2001 / Spectral Methods Algorithms, Analysis and Applications / Springer
[학술지(정기간행물)] - J. A. Rad / 2015 / Pricing European and American options by radial basis point interpolation / Appl. Math. Comput 251 : 363 ~ 377
[학술지(정기간행물)] - L. D’Amore / 2014 / Remarks on numerical algorithms for computing the inverse Laplace transform / Ricerche mat 63 (2) : 239 ~ 252
[학술지(정기간행물)] - K. Parand / 2013 / Solving non-linear Lane-Emden type equations using Bessel orthogonal functions collocation method / Celest. Mech. Dyn. Astr 16 (21) : 97 ~ 107
[단행본] - J. Shen / 2001 / Spectral Methods Algorithms, Analysis and Applications / Springer
[학술지(정기간행물)] - J. A. Rad / 2015 / Pricing European and American options by radial basis point interpolation / Appl. Math. Comput 251 : 363 ~ 377
[학술지(정기간행물)] - L. D’Amore / 2014 / Remarks on numerical algorithms for computing the inverse Laplace transform / Ricerche mat 63 (2) : 239 ~ 252
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UCI(KEPA) : I410-ECN-0101-2017-410-001102275