메뉴 건너뛰기




Volumn 24, Issue 5, 2008, Pages 1222-1235

High order compact solution of the one-space-dimensional linear hyperbolic equation

Author keywords

Collocation technique; Compact finite difference scheme; High accuracy; Linear hyperbolic equation; Telegraph equation

Indexed keywords


EID: 50849102362     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20313     Document Type: Article
Times cited : (83)

References (18)
  • 1
    • 0030216940 scopus 로고    scopus 로고
    • On the use of high order difference methods for the system of one space second order non‐linear hyperbolic equations with variable coefficients
    • 1 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.
    • (1996) J Comput Appl Math , vol.72 , pp. 421-431
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 2
    • 0347975059 scopus 로고
    • An explicit difference method for the wave equation with extended stability range
    • 2 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
  • 3
    • 0942300277 scopus 로고    scopus 로고
    • An unconditionally stable difference scheme for the one‐space‐dimensional linear hyperbolic equation
    • 3 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
  • 4
    • 17444391655 scopus 로고    scopus 로고
    • An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
    • 4 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
  • 5
    • 0033196950 scopus 로고    scopus 로고
    • A validated parallel across time and space solution of the heat transfer equation
    • 5 F. Jezequel, A validated parallel across time and space solution of the heat transfer equation, Appl Numer Math 31 (1999), 65–79.
    • (1999) Appl Numer Math , vol.31 , pp. 65-79
    • Jezequel, F.1
  • 6
    • 0011911815 scopus 로고    scopus 로고
    • Finite differences and collocation methods for the solution of the two dimensional heat equation
    • 6 J. Kouatchou, Finite differences and collocation methods for the solution of the two dimensional heat equation, Numer Methods Partial Differ Equations 17 (2001), 54–63.
    • (2001) Numer Methods Partial Differ Equations , vol.17 , pp. 54-63
    • Kouatchou, J.1
  • 7
    • 0034916588 scopus 로고    scopus 로고
    • Parallel implementation of a high‐order implicit collocation method for the heat equation
    • 7 J. Kouatchou, Parallel implementation of a high‐order implicit collocation method for the heat equation, Math Comput Simulation 54 (2001), 509–519.
    • (2001) Math Comput Simulation , vol.54 , pp. 509-519
    • Kouatchou, J.1
  • 9
    • 0004099829 scopus 로고
    • Microwave engineering
    • 9 D. M. Pozar, Microwave engineering, Addison‐Wesley, New York, 1990.
    • (1990)
    • Pozar, D.M.1
  • 10
    • 33749132178 scopus 로고    scopus 로고
    • Multigrid solution of high order discretisation for three‐dimensional biharmonic equation with Dirichlet boundary conditions of second kinds
    • 10 M. Dehghan and A. Mohebbi, Multigrid solution of high order discretisation for three‐dimensional biharmonic equation with Dirichlet boundary conditions of second kinds, Appl Math Comput 180 (2006), 575–593.
    • (2006) Appl Math Comput , vol.180 , pp. 575-593
    • Dehghan, M.1    Mohebbi, A.2
  • 11
    • 0003568343 scopus 로고
    • Numerical solution of partial differential equations in science and engineering
    • 11 L. Lapidus and G. F. Pinder, Numerical solution of partial differential equations in science and engineering, Wiley, New York, 1982.
    • (1982)
    • Lapidus, L.1    Pinder, G.F.2
  • 12
    • 33748938323 scopus 로고    scopus 로고
    • Implicit collocation technique for heat equation with non‐classic initial condition
    • 12 M. Dehghan, Implicit collocation technique for heat equation with non‐classic initial condition, Int J Non‐Linear Sci Numer Simul 7 (2006), 447–450.
    • (2006) Int J Non‐Linear Sci Numer Simul , vol.7 , pp. 447-450
    • Dehghan, M.1
  • 13
    • 11144275388 scopus 로고    scopus 로고
    • On the solution of an initial‐boundary value problem that combines Neumann and integral condition for the wave equation
    • 13 M. Dehghan, On the solution of an initial‐boundary value problem that combines Neumann and integral condition for the wave equation, Numer Methods Partial Differ Equations 21 (2005), 24–40.
    • (2005) Numer Methods Partial Differ Equations , vol.21 , pp. 24-40
    • Dehghan, M.1
  • 14
    • 33645276878 scopus 로고    scopus 로고
    • A computational study of the one‐dimensional parabolic equation subject to nonclassical boundary specifications
    • 14 M. Dehghan, A computational study of the one‐dimensional parabolic equation subject to nonclassical boundary specifications, Numer Methods Partial Differ Equations 22 (2006), 220–257.
    • (2006) Numer Methods Partial Differ Equations , vol.22 , pp. 220-257
    • Dehghan, M.1
  • 15
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • 15 M. Dehghan, Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices, Math Comput 71 (2006), 16–30.
    • (2006) Math Comput , vol.71 , pp. 16-30
    • Dehghan, M.1
  • 16
    • 85120594373 scopus 로고    scopus 로고
    • Numerical solution of the Klein‐Gordon equation via He's variational iteration method
    • 16 F. Shakeri and M. Dehghan, Numerical solution of the Klein‐Gordon equation via He's variational iteration method, Nonlinear Dyn., In press since December 2006.
    • Shakeri, F.1    Dehghan, M.2
  • 17
    • 33749559910 scopus 로고    scopus 로고
    • The one‐dimensional heat equation subject to a boundary integral specification
    • 17 M. Dehghan, The one‐dimensional heat equation subject to a boundary integral specification, Chaos, Solitons and Fractals 32 (2007), 661–675.
    • (2007) Chaos, Solitons and Fractals , vol.32 , pp. 661-675
    • Dehghan, M.1
  • 18
    • 36048991845 scopus 로고    scopus 로고
    • The dual reciprocity boundary element method (DRBEM) for two‐dimensional sine‐Gordon equation
    • 18 M. Dehghan and D. Mirzaei, The dual reciprocity boundary element method (DRBEM) for two‐dimensional sine‐Gordon equation, Computer Methods in Applied Mechanics and Engineering 197 (2008), 476–486.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 476-486
    • Dehghan, M.1    Mirzaei, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.