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International Journal of Computer Mathematics Volume 82, 2005 - Issue 9
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Original Articles

Hartley series approximations for the parabolic equations

A. Saadatmandi Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran
,
M. Razzaghi Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran; Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USACorrespondence[email protected]
&
M. Dehghan Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran
Pages 1149-1156 | Received 22 Nov 2004, Published online: 19 Aug 2006

References

  • Chen , C. F. and Hsiao , C. H. 1975 . Walsh series analysis in optimal control . International Journal of Control , 21 : 881 – 897 .
  • Hsu , N. S. and Chang , B. 1989 . Analysis and optimal control of time-varying linear systems via block-pulse functions . International Journal of Control , 33 : 1107 – 1122 .
  • Hwang , C. and Shih , Y. P. 1983 . Laguerre series direct method for variational problems . Journal of Optimization Theory and Applications , 39 : 143 – 149 .
  • Chang , R. Y. and Wang , M. L. 1983 . Shifted Legendre series direct method for variational problems . Journal of Optimization Theory and Applications , 39 : 299 – 307 .
  • Horng , I. R. and Chou , J. H. 1985 . Shifted Chebyshev series direct method for solving variational problems . International Journal of Systems Science , 16 : 855 – 861 .
  • Razzaghi , M. and Razzaghi , M. 1988 . Fourier series direct method for variational problems . International Journal of Control , 48 : 887 – 895 .
  • Chen , C. F. and Hsiao , C. H. 1997 . Haar wavelet method for solving lumped and distributed-parameter systems . IEE Proceedings Control Theory and Applications , 144 : 87 – 93 .
  • Ricot , J. J. and Acha , E. 1998 . Analysis of linear time-varying systems via Hartley series . International Journal of Systems Science , 29 : 541 – 549 .
  • Semlyen , A. , Acha , E. and Arrillaga , J. 1988 . Newton-type algorithms for the harmonic phasor analysis of nonlinear power circuits in periodical steady state with special reference to magnetic nonlinearities . IEEE Transactions on Power Delivery , 3 : 1090 – 1098 .
  • Zhang , F. Y. Spectral and pseudospectral approximations in time for parabolic equations . Journal of Computational Mathematics , 16 107 – 120 .
  • Tal-Ezer , H. 1989 . Spectral methods in time for parabolic problems . SIAM Journal on Numerical Analysis , 26 : 1 – 11 .
  • Jamet , P. 1978 . Galerkin-type approximation which are discontinuous in time for parabolic equations in a variable domain . SIAM Journal on Numerical Analysis , 15 : 912 – 928 .
  • Eriksson , K. , Johnson , C. and Thomée , V. 1985 . Time discretization of parabolic problems by discontinuous Galerkin method . RAIRO Analyse Numerique , 19 : 611 – 643 .
  • Babuska , I. and Janik , T. The h–p version of the finite element method for parabolic equations. Part l: The p-version in time . Numerical Methods for Partial Differential Equations , 5 363 – 399 .
  • Canute , C. , Hussaini , M. Y. , Quarteroni , A. and Zang , T. A. 1987 . Spectral Methods in Fluid Dynamics , Berlin : Springer-Verlag .
  • Lancaster , P. 1969 . Theory of Matrices , New York : Academic Press .

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