본문 바로가기
HOME> 논문 > 논문 검색상세

논문 상세정보

ETRI journal v.27 no.2, 2005년, pp.195 - 205  

Error Free Butcher Algorithms for Linear Electrical Circuits

Murugesan, K.    (Department of Mathematics, Pusan National University   ); Gopalan, N.P.    (Department of Computer Science and Engineering, National Institute of Technology   ); Gopal, Devarajan    (Department of Computer Electronics Telecommunication, Woosong University  );
  • 초록

    In this paper, an error-free Butcher algorithm is introduced to study the singular system of a linear electrical circuit for time invariant and time varying cases. The discrete solutions obtained using Runge-Kutta (RK)-Butcher algorithms are compared with the exact solutions of the electrical circuit problem and are found to be very accurate. Stability regions for the single term Walsh series (STWS) method and the RK-Butcher algorithm are presented. Error graphs for inductor currents and capacitor voltages are presented in a graphical form to show the efficiency of the RK-Butcher algorithm. This RK-Butcher algorithm can be easily implemented in a digital computer for any singular system of electrical circuits.


  • 주제어

    Singular systems .   single term Walsh series (STWS) and RK-Butcher algorithms.  

  • 참고문헌 (23)

    1. Investigation of Generalized State-Space Systems , Yan, H.C. , / v.,pp.,
    2. Numerical Solution of an Industrial Robot Arm Control Problem Using the RK-Butcher Algorithm , Murugesan, K.;Sekar, S.;Murugesh, V.;Park, J.Y. , Int. J. Computer Applications in Technology / v.19,pp.132-138,
    3. Optimal Control of Singular Systems Using the RK-Butcher Algorithm , Park, J.Y.;Evans, David J.;Murugesan, K.;Sekar, S.;Murugesh, V. , Int. J. Computer Mathematics / v.81,pp.239-249,
    4. Computer Solution of Ordinary Differential Equations-The Initial Value Problem , Shampine, L.F.;Gordon, M.K. , / v.,pp.,
    5. Computer-Aided Analysis of Electronic Circuits , Chua, L.O.;Lin, P.M. , / v.,pp.,
    6. Analysis of Electronic Circuits Using the Single-Term Walsh Series Approach , Balachandran, K.;Murugesan, K. , Int. J. of Electronics / v.69,pp.327-332,
    7. Klassische Runge-Kutta-Formeln Vierter und Niedriger Ordnung Mit Schrittweitenkontolle und Ihre Anwendung auf Warmeleitungsprobleme , Fehlberg, E. , Computing / v.6,pp.61-71,
    8. Computer Methods for Mathematical Computations , Forsythe, G.E.;Malcolm, M.A.;Moler, C.D. , / v.,pp.135,
    9. A Comparative Study of New Truncation Error Estimates and Intrinsic Accuracies of Some Higher Order Runge-Kutta Algorithms , Bader, M. , Computational Chemistry / v.11,pp.121-124,
    10. A New Technique for the Early Detection of Stiffness in Coupled Differential Equations and Application to Standard Runge-Kutta Algorithms , Bader, M. , Theoretical Chemistry Accounts / v.99,pp.215-219,
    11. Analysis of Different Second Order Systems via Runge-Kutta Method , Murugesan, K.;Paul Dhayabaran, D.;Evans, D.J. , Int. J. Computer Mathematics / v.70,pp.477-493,
    12. Analysis of Different Second Order Multivariable Linear System Using Single Term Walsh Series Technique and Runge-Kutta Method , Murugesan, K.;Paul Dhayabaran, D.;Evans, D.J. , Int. J. of Computer Mathematics / v.72,pp.367-374,
    13. Analysis of Non-Linear Singular System from Fluid Dynamics Using Extended Runge-Kutta Methods , Murugesan, K.;Paul Dhayabaran, D.;Evans, D.J. , Int. J. Computer Mathematics / v.76,pp.239-266,
    14. A Fourth Order Embedded Runge-Kutta RKACeM(4,4) Method Based on Arithmetic and Centrodial Means with Error Control , Murugesan, K.;Paul Dhayabaran, D.;Henry Amirtharaj, E.C.;Evans, D.J. , Int. J. Computer Mathematics / v.79,pp.247-269,
    15. The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods , Butcher, J.C. , / v.,pp.,
    16. Numerical Methods for Ordinary Differential Equations , Butcher, J.C. , / v.,pp.,
    17. Numerical Solution of Ordinary Differential Equations , Shampine, L.F. , / v.,pp.,
    18. A New 4th Order Runge-Kutta Method for Initial Value Problems with Error Control , Evans, D.J. , Int.l J. Computer Mathematics / v.139,pp.217-227,
    19. A New Fifth Order Weighted Runge-Kutta Formula , Evans, D.J.;Yaakub, A.R. , Int. J. Computer Mathematics / v.59,pp.227-243,
    20. Numerical Methods for Ordinary Differential Systems. The Initial Value Problem , Lambert, J.D. , / v.,pp.,
    21. Runge-Kutta Methods for Differential-Algebric Systems , Alexander, R.K.;Coyle, J.J. , SIAM J. of Numerical Analysis / v.27,pp.736-752,
    22. A Comparison of Extended Runge-Kutta Formulae Based on Variety of Means to Solve System of IVPs , Murugesan, K.;Paul Dhayabaran, D.;Henry Amirtharaj, E.C.;Evans, D.J. , Int.J. of Computer Mathematics / v.78,pp.225-252,
    23. Weighted Fifth Order Runge-Kutta Formulas for Second Order Differential Equations , Evans, D.J.;Yaakub, A.R. , Int. J. Computer Mathematics / v.70,pp.233-239,

 활용도 분석

  • 상세보기

    amChart 영역
  • 원문보기

    amChart 영역

원문보기

무료다운로드
유료다운로드
  • 원문이 없습니다.

유료 다운로드의 경우 해당 사이트의 정책에 따라 신규 회원가입, 로그인, 유료 구매 등이 필요할 수 있습니다. 해당 사이트에서 발생하는 귀하의 모든 정보활동은 NDSL의 서비스 정책과 무관합니다.

원문복사신청을 하시면, 일부 해외 인쇄학술지의 경우 외국학술지지원센터(FRIC)에서
무료 원문복사 서비스를 제공합니다.

NDSL에서는 해당 원문을 복사서비스하고 있습니다. 위의 원문복사신청 또는 장바구니 담기를 통하여 원문복사서비스 이용이 가능합니다.

이 논문과 함께 출판된 논문 + 더보기