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Volumn 2011, Issue , 2011, Pages

An operator-difference method for telegraph equations arising in transmission lines

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EID: 84855397470     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2011/561015     Document Type: Article
Times cited : (20)

References (40)
  • 1
    • 0004168443 scopus 로고
    • 6th Cambridge, UK Cambridge University Press Cambridge Mathematical Library
    • Lamb H., Hydrodynamics 1993 6th Cambridge, UK Cambridge University Press xxvi+738 Cambridge Mathematical Library
    • (1993) Hydrodynamics
    • Lamb, H.1
  • 2
    • 0017889140 scopus 로고
    • Cambridge, UK Cambridge University Press
    • Lighthill J., Waves in Fluids 1978 Cambridge, UK Cambridge University Press xv+504
    • (1978) Waves in Fluids , pp. 504
    • Lighthill, J.1
  • 3
    • 0004177783 scopus 로고
    • Cambridge, UK Cambridge University Press Cambridge Monographs on Mechanics and Applied Mathematic
    • Hudson J. A., The Excitation and Propagation of Elastic Waves 1980 Cambridge, UK Cambridge University Press viii+226 Cambridge Monographs on Mechanics and Applied Mathematic
    • (1980) The Excitation and Propagation of Elastic Waves , pp. 226
    • Hudson, J.A.1
  • 4
    • 0004099121 scopus 로고
    • New York, NY, USA The Clarendon Press/Oxford University Press Oxford Science Publications
    • Jones D. S., Acoustic and Electromagnetic Waves 1986 New York, NY, USA The Clarendon Press/Oxford University Press xx+745 Oxford Science Publications
    • (1986) Acoustic and Electromagnetic Waves , pp. 745
    • Jones, D.S.1
  • 6
    • 41349122394 scopus 로고    scopus 로고
    • Variational theory for thermodynamics of thermal waves
    • Sieniutycz S., Berry R. S., Variational theory for thermodynamics of thermal waves Physical Review E 2002 65 4 11
    • (2002) Physical Review E , vol.65 , Issue.4 , pp. 11
    • Sieniutycz, S.1    Berry, R.S.2
  • 8
    • 0033335174 scopus 로고    scopus 로고
    • Transient analysis of nonuniform lossy transmission lines with frequency dependent parameters
    • DOI 10.1016/S0378-7796(99)00031-0
    • Mamis M. S., Koksal M., Transient analysis of nonuniform lossy transmission lines with frequency dependent parameters Electric Power Systems Research 1999 52 3 223 228 (Pubitemid 30524293)
    • (1999) Electric Power Systems Research , vol.52 , Issue.3 , pp. 223-228
    • Mamis, M.S.1    Koksal, M.2
  • 9
    • 26844498097 scopus 로고    scopus 로고
    • Remark on the lumped parameter modeling of transmission lines
    • Mami M. S., Kksal M., Remark on the lumped parameter modeling of transmission lines Electric Machines and Power Systems 2000 28 6 565 575
    • (2000) Electric Machines and Power Systems , vol.28 , Issue.6 , pp. 565-575
    • Mami, M.S.1    Kksal, M.2
  • 10
    • 0038522720 scopus 로고    scopus 로고
    • Computation of corona effects in transmission lines using state-space techniques
    • Herdem S., Mami M. S., Computation of corona effects in transmission lines using state-space techniques Computers and Electrical Engineering 2003 29 5 603 611
    • (2003) Computers and Electrical Engineering , vol.29 , Issue.5 , pp. 603-611
    • Herdem, S.1    Mami, M.S.2
  • 11
    • 55749099350 scopus 로고    scopus 로고
    • One-dimensional transient dynamic response in functionally gradient spherical multilayered media
    • Abu-Alshaikh I., Koksal M. E., One-dimensional transient dynamic response in functionally gradient spherical multilayered media Proceedings of Dynamical Systems and Applications 2004 1 20
    • (2004) Proceedings of Dynamical Systems and Applications , pp. 1-20
    • Abu-Alshaikh, I.1    Koksal, M.E.2
  • 12
    • 79952972966 scopus 로고    scopus 로고
    • One-dimensional wave propagation in functionally graded cylindrical layered media
    • New York, NY, USA Springer
    • Abu-Alshaikh I., One-dimensional wave propagation in functionally graded cylindrical layered media Mathematical Methods in Engineering 2007 New York, NY, USA Springer 111 121
    • (2007) Mathematical Methods in Engineering , pp. 111-121
    • Abu-Alshaikh, I.1
  • 14
    • 11144294245 scopus 로고
    • Approximate solution of the Cauchy problem for an abstract hyperbolic equation by the method of lines
    • Sobolevski P. E., ebotareva L. M., Approximate solution of the Cauchy problem for an abstract hyperbolic equation by the method of lines Izvestija Vysih Uebnyh Zavedeni Matematika 1977 5(180) 103 116
    • (1977) Izvestija Vysih Uebnyh Zavedeni Matematika , vol.5 , Issue.180 , pp. 103-116
    • Sobolevski, P.E.1    Ebotareva, L.M.2
  • 15
    • 11144306903 scopus 로고    scopus 로고
    • A note on the difference schemes for hyperbolic equations
    • Ashyralyev A., Sobolevskii P. E., A note on the difference schemes for hyperbolic equations Abstract and Applied Analysis 2001 6 2 63 70
    • (2001) Abstract and Applied Analysis , vol.6 , Issue.2 , pp. 63-70
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 16
    • 29144436210 scopus 로고    scopus 로고
    • Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
    • DOI 10.1155/DDNS.2005.183
    • Ashyralyev A., Sobolevskii P. E., Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations Discrete Dynamics in Nature and Society 2005 2005 2 183 213 (Pubitemid 41794911)
    • (2005) Discrete Dynamics in Nature and Society , vol.2005 , Issue.2 , pp. 183-213
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 17
    • 29744442302 scopus 로고    scopus 로고
    • On the second order of accuracy difference scheme for hyperbolic equations in a hilbert space
    • DOI 10.1080/01630560500431068, PII T7219104717161
    • Ashyralyev A., Koksal M. E., On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space Numerical Functional Analysis and Optimization 2005 26 7-8 739 772 (Pubitemid 43024319)
    • (2005) Numerical Functional Analysis and Optimization , vol.26 , Issue.7-8 , pp. 739-772
    • Ashyralyev, A.1    Koksal, M.2
  • 18
    • 55249089454 scopus 로고    scopus 로고
    • Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space
    • Ashyralyev A., Koksal M. E., Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space Discrete Dynamics in Nature and Society 2007 2007 25
    • (2007) Discrete Dynamics in Nature and Society , vol.2007 , pp. 25
    • Ashyralyev, A.1    Koksal, M.E.2
  • 19
    • 77953322569 scopus 로고    scopus 로고
    • A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator
    • Ashyralyev A., Koksal M. E., Agarwal R. P., A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator Mathematical and Computer Modelling 2010 52 1-2 409 424
    • (2010) Mathematical and Computer Modelling , vol.52 , Issue.12 , pp. 409-424
    • Ashyralyev, A.1    Koksal, M.E.2    Agarwal, R.P.3
  • 21
    • 84966238003 scopus 로고
    • A note on the operator compact implicit method for the wave equation
    • Ciment M., Leventhal S. H., A note on the operator compact implicit method for the wave equation Mathematics of Computation 1978 32 141 143 147
    • (1978) Mathematics of Computation , vol.32 , Issue.141 , pp. 143-147
    • Ciment, M.1    Leventhal, S.H.2
  • 22
    • 0347975059 scopus 로고
    • An explicit difference method for the wave equation with extended stability range
    • Twizell E. H., An explicit difference method for the wave equation with extended stability range BIT 1979 19 3 378 383
    • (1979) BIT , vol.19 , Issue.3 , pp. 378-383
    • Twizell, E.H.1
  • 23
    • 0012321217 scopus 로고
    • Stability of difference schemes in Cauchy problems with almost periodic solutions
    • Piskarv S. I., Stability of difference schemes in Cauchy problems with almost periodic solutions Differentsial'nye Uravneniya 1984 20 4 689 695
    • (1984) Differentsial'Nye Uravneniya , vol.20 , Issue.4 , pp. 689-695
    • Piskarv, S.I.1
  • 26
    • 0030216940 scopus 로고    scopus 로고
    • On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
    • DOI 10.1016/0377-0427(96)00011-8, PII S0377042796000118
    • Mohanty R. K., Jain M. K., George K., On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients Journal of Computational and Applied Mathematics 1996 72 2 421 431 (Pubitemid 126380111)
    • (1996) Journal of Computational and Applied Mathematics , vol.72 , Issue.2 , pp. 421-431
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 27
    • 0003369059 scopus 로고
    • Second Order Linear Differential Equations in Banach Spaces
    • Amsterdam, The Netherlands North-Holland
    • Fattorini H. O., Second Order Linear Differential Equations in Banach Spaces 1985 108 Amsterdam, The Netherlands North-Holland xiii+314 North-Holland Mathematics Studies
    • (1985) North-Holland Mathematics Studies , vol.108
    • Fattorini, H.O.1
  • 29
    • 0942300277 scopus 로고    scopus 로고
    • An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
    • Mohanty R. K., An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation Applied Mathematics Letters 2004 17 1 101 105
    • (2004) Applied Mathematics Letters , vol.17 , Issue.1 , pp. 101-105
    • Mohanty, R.K.1
  • 30
    • 17444391655 scopus 로고    scopus 로고
    • An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
    • DOI 10.1016/j.amc.2004.07.002, PII S0096300304003777
    • Mohanty R. K., An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients Applied Mathematics and Computation 2005 165 1 229 236 (Pubitemid 40537185)
    • (2005) Applied Mathematics and Computation , vol.165 , Issue.1 , pp. 229-236
    • Mohanty, R.K.1
  • 31
    • 34247184613 scopus 로고    scopus 로고
    • Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
    • DOI 10.1016/j.amc.2006.09.057, PII S0096300306012653
    • Gao F., Chi C., Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation Applied Mathematics and Computation 2007 187 2 1272 1276 (Pubitemid 46627913)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.2 , pp. 1272-1276
    • Gao, F.1    Chi, C.2
  • 32
    • 63449140298 scopus 로고    scopus 로고
    • An unconditionally stable spline difference scheme of O (k 2 + h 2) for solving the second-order 1D linear hyperbolic equation
    • Liu H.-W., Liu L.-B., An unconditionally stable spline difference scheme of O (k 2 + h 2) for solving the second-order 1D linear hyperbolic equation Mathematical and Computer Modelling 2009 49 9-10 1985 1993
    • (2009) Mathematical and Computer Modelling , vol.49 , Issue.910 , pp. 1985-1993
    • Liu, H.-W.1    Liu, L.-B.2
  • 33
    • 74849107653 scopus 로고    scopus 로고
    • New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
    • Mohanty R. K., New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations International Journal of Computer Mathematics 2009 86 12 2061 2071
    • (2009) International Journal of Computer Mathematics , vol.86 , Issue.12 , pp. 2061-2071
    • Mohanty, R.K.1
  • 35
    • 62949102686 scopus 로고    scopus 로고
    • A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations
    • Liu H.-W., Liu L.-B., Chen Y., A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations Applied Mathematics and Computation 2009 210 2 508 514
    • (2009) Applied Mathematics and Computation , vol.210 , Issue.2 , pp. 508-514
    • Liu, H.-W.1    Liu, L.-B.2    Chen, Y.3
  • 36
    • 77949488320 scopus 로고    scopus 로고
    • Quartic spline methods for solving one-dimensional telegraphic equations
    • Liu L.-B., Liu H.-W., Quartic spline methods for solving one-dimensional telegraphic equations Applied Mathematics and Computation 2010 216 3 951 958
    • (2010) Applied Mathematics and Computation , vol.216 , Issue.3 , pp. 951-958
    • Liu, L.-B.1    Liu, H.-W.2
  • 39
    • 79251477204 scopus 로고    scopus 로고
    • Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients
    • Blbl B., Sezer M., Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients International Journal of Computer Mathematics 2011 88 3 533 544
    • (2011) International Journal of Computer Mathematics , vol.88 , Issue.3 , pp. 533-544
    • Blbl, B.1    Sezer, M.2


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