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International Journal of Computer Mathematics Volume 87, 2010 - Issue 3
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Section B

Wavelets approach to time-varying functional differential equations

C. H. Hsiao General Education Center of Taipei Physical Education College, Shihlin, Taipei, Taiwan, Republic of ChinaCorrespondence[email protected]
Pages 528-540 | Received 09 Jul 2007, Accepted 08 Mar 2008, Published online: 09 Oct 2008

References

  • Chen , W. L. 1981 . Block pulse series analysis of scaled systems . Int. J. Syst. Sci. , 12 : 885 – 891 .
  • Chen , C. F. and Hsiao , C. H. 1997 . Haar wavelet method for solving lumped and distributed-parameter systems . IEE Proc. Control Theory Appl. Pt. D. , 144 : 87 – 94 .
  • Daubechies , I. 1990 . The wavelet transform, time-frequency localization and signal analysis . IEEE Trans. Inf. Theory. , 36 : 961 – 1005 .
  • Evans , D. J. and Raslan , K. R. 2005 . The Adomian decomposition method for solving delay differential equation . Int. J. Comput. Math. , 82 : 49 – 54 .
  • Fox , L. , Mayers , D. F. , Ockendon , J. R. and Tayler , A. B. 1971 . On a functional differential equation . J. Inst. Math. Appl. , 8 : 271 – 307 .
  • Hsiao , C. H. 1997 . States analysis of linear time delayed systems via Haar wavelets . Math. Comput. Simul. , 44 : 457 – 470 .
  • Hsiao , C. H. and Wang , W. J. 2001 . Haar wavelet approach to linear stiff systems . Math. Comput. Simul. , 57 : 347 – 353 .
  • Hwang , C. 1984 . Solution of a scaled system via Chebyshev polynomials . J. Franklin Inst. , 318 : 233 – 241 .
  • Hwang , C. and Chen , M. Y. 1986 . Solution of a scaled system by shifted Legendre series representation . Int. J. Comput. Electr. Eng. , 12 : 13 – 22 .
  • Hwang , C. and Shih , Y. P. 1982 . Laguerre series solution of a functional differential equation . Int. J. Syst. Sci. , 13 : 783 – 788 .
  • Ockendon , J. R. and Tayler , A. B. 1971 . The dynamics of a current collection system for an electric locomotive . Proc. Roy. Soc. Lond. A. , 322 : 447 – 468 .
  • Randolph , A. D. 1969 . Effect of crystal breakage on crystal size distribution in mixed suspension crystallizer . Ind. Eng. Chem. Fundls. , 8 : 58 – 63 .
  • Rao , G. P. and Palanisamy , K. R. 1982 . Walsh stretch matrices and functional differential equations . IEEE Trans. on Autom. Control. , 27 : 272 – 276 .
  • Rao , G. P. and Palanisamy , K. R. 1982 . Walsh stretch matrices and functional differential equations . IEEE Trans. on Autom. Control. , 27 : 272 – 276 .
  • Sezer , M. and Akyuz-Dascioglu , A. 2007 . A Taylor method for numerical solution of generalized pantograph equations with linear functional argument . J. Comput. Appl. Math. , 200 : 217 – 225 .
  • Strang , G. 1989 . Wavelets and dilation equations: a brief introduction . SIAM Rev. , 31 : 614 – 627 .

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