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Volumn 56, Issue 7, 2008, Pages 1748-1757

Approximate solution of Abel integral equation

Author keywords

Abel integral equation; Abel inversion; Approximate solution; Error analysis; Taylor expansion

Indexed keywords

ERROR ANALYSIS; FARM BUILDINGS; FUNCTION EVALUATION; LINEAR EQUATIONS; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION;

EID: 48049097506     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.04.003     Document Type: Article
Times cited : (53)

References (9)
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    • (1964) Math. Comp. , vol.18 , pp. 491-496
    • Fettis, M.E.1
  • 4
    • 34250434098 scopus 로고
    • Numerical solution of the Abel integral equation
    • Piessens R., and Verbaeten P. Numerical solution of the Abel integral equation. BIT 13 (1973) 451-457
    • (1973) BIT , vol.13 , pp. 451-457
    • Piessens, R.1    Verbaeten, P.2
  • 5
    • 0034274840 scopus 로고    scopus 로고
    • Computing integral transforms and solving integral equations using Chebyshev polynomial approximations
    • Piessens R. Computing integral transforms and solving integral equations using Chebyshev polynomial approximations. J. Comput. Appl. Math. 121 (2000) 113-124
    • (2000) J. Comput. Appl. Math. , vol.121 , pp. 113-124
    • Piessens, R.1
  • 6
    • 44049118776 scopus 로고
    • New stable numerical inversion of Abel's integral equation
    • Murio D.A., Hinestroza D.G., and Mejia C.W. New stable numerical inversion of Abel's integral equation. Comput. Math. Appl. 11 (1992) 3-11
    • (1992) Comput. Math. Appl. , vol.11 , pp. 3-11
    • Murio, D.A.1    Hinestroza, D.G.2    Mejia, C.W.3
  • 7
    • 0011103548 scopus 로고    scopus 로고
    • A new method of solving noisy Abel-type equations
    • Garza J., Hall P., and Ruymagaart F.H. A new method of solving noisy Abel-type equations. J. Math. Anal. Appl. 257 (2001) 403-419
    • (2001) J. Math. Anal. Appl. , vol.257 , pp. 403-419
    • Garza, J.1    Hall, P.2    Ruymagaart, F.H.3
  • 8
    • 0038454632 scopus 로고    scopus 로고
    • Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs
    • Hall P., Paige R., and Ruymagaart F.H. Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs. J. Multivariate. Anal. 86 (2003) 72-96
    • (2003) J. Multivariate. Anal. , vol.86 , pp. 72-96
    • Hall, P.1    Paige, R.2    Ruymagaart, F.H.3
  • 9
    • 78449241111 scopus 로고    scopus 로고
    • A new Abel inversion by means of the integrals of an input function with noise
    • Li X.-F., Huang L., and Huang Y. A new Abel inversion by means of the integrals of an input function with noise. J. Phys. A: Math. Theor. 40 (2007) 347-360
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 347-360
    • Li, X.-F.1    Huang, L.2    Huang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.