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Volumn 22, Issue 6, 2006, Pages 627-642

An effective spectral collocation method for the direct solution of high-order ODEs

Author keywords

High order ordinary differential equations; Integrated basis functions; Multiple boundary conditions; Spectral collocation methods

Indexed keywords

BOUNDARY CONDITIONS; CHEBYSHEV APPROXIMATION; DIFFERENTIATION (CALCULUS); INTEGRATION; SPECTRUM ANALYSIS;

EID: 33745629328     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.841     Document Type: Article
Times cited : (31)

References (18)
  • 6
    • 0000049711 scopus 로고
    • Vibrations of non-uniform rings studied by means of the differential quadrature method
    • Gutierrez RE, Laura PAA. Vibrations of non-uniform rings studied by means of the differential quadrature method. Journal of Sound and Vibration 1995; 185(3):507-513.
    • (1995) Journal of Sound and Vibration , vol.185 , Issue.3 , pp. 507-513
    • Gutierrez, R.E.1    Laura, P.A.A.2
  • 7
    • 0034314409 scopus 로고    scopus 로고
    • Application of generalized differential quadrature rule to sixth-order differential equations
    • Wu TY, Liu GR. Application of generalized differential quadrature rule to sixth-order differential equations. Communications in Numerical Methods in Engineering 2000; 16:777-784.
    • (2000) Communications in Numerical Methods in Engineering , vol.16 , pp. 777-784
    • Wu, T.Y.1    Liu, G.R.2
  • 10
    • 0002634477 scopus 로고
    • Finite-difference methods for the solution of special eighth-order boundary-value problems
    • Boutayeb A, Twizell EH. Finite-difference methods for the solution of special eighth-order boundary-value problems. International Journal of Computer Mathematics 1993; 48:63-75.
    • (1993) International Journal of Computer Mathematics , vol.48 , pp. 63-75
    • Boutayeb, A.1    Twizell, E.H.2
  • 12
    • 13244255578 scopus 로고    scopus 로고
    • Solving high order ordinary differential equations with radial basis function networks
    • Mai-Duy N. Solving high order ordinary differential equations with radial basis function networks. International Journal for Numerical Methods in Engineering 2005; 62:824-852.
    • (2005) International Journal for Numerical Methods in Engineering , vol.62 , pp. 824-852
    • Mai-Duy, N.1
  • 13
    • 0001096265 scopus 로고
    • Roundoff error in computing derivatives using the Chebyshev differentiation matrix
    • Bayliss A, Class A, Matkowsky BJ. Roundoff error in computing derivatives using the Chebyshev differentiation matrix. Journal of Computational Physics 1995; 116(2):380-383.
    • (1995) Journal of Computational Physics , vol.116 , Issue.2 , pp. 380-383
    • Bayliss, A.1    Class, A.2    Matkowsky, B.J.3
  • 14
    • 0001216115 scopus 로고    scopus 로고
    • Generation of pseudospectral differentiation matrices I
    • Welfert BD. Generation of pseudospectral differentiation matrices I. SIAM Journal on Numerical Analysis 1997; 34(4):1640-1657.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , Issue.4 , pp. 1640-1657
    • Welfert, B.D.1
  • 18


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.