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Volumn 84, Issue 2, 2013, Pages 1-13

Fractional differentiation matrices for solving fractional orders differential equations

Author keywords

Differentiation matrices; Fractional differential equations; Shifted Chebyshev polynomials

Indexed keywords


EID: 84876378030     PISSN: 13118080     EISSN: 13143395     Source Type: Journal    
DOI: 10.12732/ijpam.v84i2.1     Document Type: Article
Times cited : (7)

References (10)
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  • 2
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    • Doha, E.H.1
  • 3
    • 0001044964 scopus 로고
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    • W.S. Don, A. Solomonoff, Accuracy and speed in computing the Chebyshev collocation derivative, SIAM J. Sci. Comput., 16 (1995), 1253-1268.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1253-1268
    • Don, W.S.1    Solomonoff, A.2
  • 4
    • 79960555480 scopus 로고    scopus 로고
    • Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
    • E.H. Doha, A.H. Bhrawy, S.S. Ezz-Eldien, Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations, Applied Mathematical Modelling, 35 (2011), 5662-5672.
    • (2011) Applied Mathematical Modelling , vol.35 , pp. 5662-5672
    • Doha, E.H.1    Bhrawy, A.H.2    Ezz-Eldien, S.S.3
  • 5
    • 0037448159 scopus 로고    scopus 로고
    • Chebyshev finite difference approximation for the boundary value problems
    • E.M.E. Elbarbary, M. El-Kady, Chebyshev finite difference approximation for the boundary value problems, Appl. Math. and Comput., 139 (2003), 513-523.
    • (2003) Appl. Math. and Comput. , vol.139 , pp. 513-523
    • Elbarbary, E.M.E.1    El-Kady, M.2
  • 6
    • 26844480312 scopus 로고    scopus 로고
    • Higher-order pseudospectral differentiation matrices
    • E.M.E. Elbarbary, S.M. El-Sayed, Higher-order pseudospectral differentiation matrices, Appl. Numer. Math., 55 (2005), 425-438.
    • (2005) Appl. Numer. Math. , vol.55 , pp. 425-438
    • Elbarbary, E.M.E.1    El-Sayed, S.M.2
  • 8
    • 0000036756 scopus 로고
    • A note on the Chebyshev coefficients of the general-order derivative of an infinitely differentiable function
    • Karageorghis, A note on the Chebyshev coefficients of the general-order derivative of an infinitely differentiable function, Comput. Appl. Math., 21 (1988), 383-386.
    • (1988) Comput. Appl. Math. , vol.21 , pp. 383-386
    • Karageorghis1
  • 10
    • 0034190378 scopus 로고    scopus 로고
    • Improving the accuracy of the matrix differentiation method for arbitrary collocation points
    • R. Baltensperger, Improving the accuracy of the matrix differentiation method for arbitrary collocation points, Appl. Numer. Math., 33 (2000), 143-149.
    • (2000) Appl. Numer. Math. , vol.33 , pp. 143-149
    • Baltensperger, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.