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Volumn 60, Issue 7, 2010, Pages 1964-1972

Numerical solution of telegraph equation using interpolating scaling functions

Author keywords

Interpolating scaling function; Operational matrix of derivative; Telegraph equation

Indexed keywords

ALGEBRAIC EQUATIONS; APPROXIMATE SOLUTION; LINEAR HYPERBOLIC EQUATION; NUMERICAL EXAMPLE; NUMERICAL SOLUTION; NUMERICAL TECHNIQUES; OPERATIONAL MATRICES; SCALING FUNCTIONS; SECOND ORDERS; TELEGRAPH EQUATION;

EID: 77957919532     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.07.030     Document Type: Article
Times cited : (105)

References (23)
  • 1
    • 34249826970 scopus 로고    scopus 로고
    • A numerical algorithm for the solution of telegraph equations
    • M.S. El-Azab, and M. El-Gamel A numerical algorithm for the solution of telegraph equations Appl. Math. Comput. 190 2007 757 764
    • (2007) Appl. Math. Comput. , vol.190 , pp. 757-764
    • El-Azab, M.S.1    El-Gamel, M.2
  • 4
    • 11144275388 scopus 로고    scopus 로고
    • On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
    • M. Dehghan On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation Numer. Methods Partial Differential Equations 21 2005 24 40
    • (2005) Numer. Methods Partial Differential Equations , vol.21 , pp. 24-40
    • Dehghan, M.1
  • 5
    • 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
    • R.K. Mohanty, M.K. Jain, and K. George On the use of high order difference methods for the system of one space second order non-linear hyperbolic equations with variable coefficients J. Comput. Appl. Math. 72 1996 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
  • 6
    • 0347975059 scopus 로고
    • An explicit difference method for the wave equation with extended stability range
    • E.H. Twizell An explicit difference method for the wave equation with extended stability range BIT 19 1979 378 383
    • (1979) BIT , vol.19 , pp. 378-383
    • Twizell, E.H.1
  • 7
    • 34247184613 scopus 로고    scopus 로고
    • Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
    • F. Gao, and C. Chi Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation Appl. Math. Comput. 187 2007 1272 1276
    • (2007) Appl. Math. Comput. , vol.187 , pp. 1272-1276
    • Gao, F.1    Chi, C.2
  • 8
    • 33847786088 scopus 로고    scopus 로고
    • Numerical solution of the one-dimensional wave equation with an integral condition
    • A. Saadatmandi, and M. Dehghan Numerical solution of the one-dimensional wave equation with an integral condition Numer. Methods Partial Differential Equations 23 2007 282 292
    • (2007) Numer. Methods Partial Differential Equations , vol.23 , pp. 282-292
    • Saadatmandi, A.1    Dehghan, M.2
  • 9
    • 67651210990 scopus 로고    scopus 로고
    • An unconditionally stable parallel difference scheme for telegraph equation scheme for telegraph equation
    • A. Borhanifar, and Reza Abazari An unconditionally stable parallel difference scheme for telegraph equation scheme for telegraph equation Math. Probl. Eng. 2009 Article ID 969610
    • (2009) Math. Probl. Eng.
    • Borhanifar, A.1    Abazari, R.2
  • 10
    • 73449109560 scopus 로고    scopus 로고
    • Numerical solution of hyperbolic telegraph equation using the Chebyshev Tau method
    • A. Saadatmandi, and M. Dehghan Numerical solution of hyperbolic telegraph equation using the Chebyshev Tau method Numer. Methods Partial Differential Equations 26 1 2010 239 252
    • (2010) Numer. Methods Partial Differential Equations , vol.26 , Issue.1 , pp. 239-252
    • Saadatmandi, A.1    Dehghan, M.2
  • 11
    • 18144404252 scopus 로고    scopus 로고
    • Adomian decomposition method for solving the telegraph equation in charged particle transport
    • M.A. Abdou Adomian decomposition method for solving the telegraph equation in charged particle transport J. Quant. Spectrosc. Radiat. Transfer 95 2005 407 414
    • (2005) J. Quant. Spectrosc. Radiat. Transfer , vol.95 , pp. 407-414
    • Abdou, M.A.1
  • 12
    • 0942300277 scopus 로고    scopus 로고
    • An unconditionally stable difference scheme for the one-space dimensional linear hyperbolic equation
    • R.K. Mohanty An unconditionally stable difference scheme for the one-space dimensional linear hyperbolic equation Appl. Math. Lett. 17 2004 101 105
    • (2004) Appl. Math. Lett. , vol.17 , pp. 101-105
    • Mohanty, R.K.1
  • 13
    • 17444391655 scopus 로고    scopus 로고
    • An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
    • R.K. Mohanty An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients Appl. Math. Comput. 165 2005 229 236
    • (2005) Appl. Math. Comput. , vol.165 , pp. 229-236
    • Mohanty, R.K.1
  • 15
    • 50849102362 scopus 로고    scopus 로고
    • High order compact solution of the one-space-dimensional linear hyperbolic equation
    • A. Mohebbi, and M. Dehghan High order compact solution of the one-space-dimensional linear hyperbolic equation Numer. Methods Partial Differential Equations 24 2008 1222 1235
    • (2008) Numer. Methods Partial Differential Equations , vol.24 , pp. 1222-1235
    • Mohebbi, A.1    Dehghan, M.2
  • 16
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • M. Dehghan Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices Math. Comput. Simulation 71 2006 16 30
    • (2006) Math. Comput. Simulation , vol.71 , pp. 16-30
    • Dehghan, M.1
  • 17
    • 33748938323 scopus 로고    scopus 로고
    • Implicit collocation technique for heat equation with non-classic initial condition
    • M. Dehghan Implicit collocation technique for heat equation with non-classic initial condition Int. J. Nonlinear Sci. Numer. Simul. 7 2006 447 450
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 447-450
    • Dehghan, M.1
  • 18
  • 19
    • 67849124107 scopus 로고    scopus 로고
    • The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation
    • M. Dehghan, and M. Lakestani The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation Numer. Methods Partial Differential Equations 25 2009 931 938
    • (2009) Numer. Methods Partial Differential Equations , vol.25 , pp. 931-938
    • Dehghan, M.1    Lakestani, M.2
  • 20
    • 1642335254 scopus 로고    scopus 로고
    • Numerical solution of the controlled Duffing oscillator by the interpolating scaling functions
    • M. Shamsi, and M. Razzaghi Numerical solution of the controlled Duffing oscillator by the interpolating scaling functions J. Electromagn. Waves Appl. 18 5 2004 691 705
    • (2004) J. Electromagn. Waves Appl. , vol.18 , Issue.5 , pp. 691-705
    • Shamsi, M.1    Razzaghi, M.2
  • 22
    • 19044362072 scopus 로고    scopus 로고
    • Solution of Hallen's integral equation using multiwavelets
    • DOI 10.1016/j.cpc.2005.01.016, PII S0010465505002298
    • M. Shamsi, and M. Razzaghi Solution of Hallen's integral equation using multiwavelets Comput. Phys. Comm. 168 2005 187 197 (Pubitemid 40710264)
    • (2005) Computer Physics Communications , vol.168 , Issue.3 , pp. 187-197
    • Shamsi, M.1    Razzaghi, M.2
  • 23
    • 0037058028 scopus 로고    scopus 로고
    • Adaptive solution of partial differential equations in multiwavelet bases
    • B. Alpert, G. Beylkin, D. Gines, and L. Vozovoi Adaptive solution of partial differential equations in multiwavelet bases J. Comput. Phys. 182 2002 149 190
    • (2002) J. Comput. Phys. , vol.182 , pp. 149-190
    • Alpert, B.1    Beylkin, G.2    Gines, D.3    Vozovoi, L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.