21
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A novel numerical method on the resolution of the time-invariant systems response

Resolution of the time-invariant systems response

&
Pages 277-290 | Received 13 Oct 1997, Published online: 20 Mar 2007

References

  • Chawla , M. M. and Al-zanaidi , M. A. New L-stable modified trapezoidal formulas for the numerical integration of y' = f(x, y) . Intern. J. Computer Math , 63 279 – 88 .
  • Chawla , M. M. , Al-zanaidi , M. A. and Evans , D. J. A class of generalized trapezoidal formulas for the numerical integration of y' = f(x,y) . Intern. J. Computer Math , 62 131 – 42 .
  • Lambert , J. D. Computation Techniques for Ordinary Differential Equations , Edited by: Gladwell , I. and Sayers , D. K. 19 – 46 . London : Academic Press .
  • Lambert , J. D. 1991 . Numerical Methods for Ordinary Differential System , New York : John Wiley .
  • Haar , A. 1910 . Zur theorie der orthogonalen Funktionen systeme . Math. Ann , 69 : 331 – 371 .
  • Evans , D. J. and Sanugi , B. B. 1987 . A comparison of numerical ODE solvers based on arithmetic and geometric means . Intern. J. Computer Math , 23 : 37 – 62 .
  • Evans , D. J. and Sanugi , B. B. 1991 . A comparison of nonlinear trapezoidal formulas for solving initial value problem . Intern. J. Computer Math , 41 : 65 – 79 .
  • Lindberg , B. 1971 . On smoothing and extrapolation for the trapezoidal rule . BIT , 11 : 29 – 52 .
  • Liniger , W. and Willoughby , R. A. 1970 . Efficient integration methods for stiff systems of ordinary differential equations . SI AM J. Number Anal , 7 : 47 – 66 .
  • Wazwaz , A.-M. 1994 . On the numerical solution of y' =f(x,y) by a class of nonlinear trapezoidal formulas . Intern. J. Computer Math , 51 : 229 – 238 .
  • Strang , G. 1992 . Wavelet Transforms versus Fourier Transforms Research notes , 1 – 18 . MIT .
  • Strang , G. 1989 . Wavelets and dilation equation: A brief introduction . SI AM Review , 31 : 614 – 627 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.