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Volumn 24, Issue 3, 2008, Pages 897-910

The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation

Author keywords

Collocation technique; Compact finite difference schemes; High accuracy; Multigrid method; Wave equation

Indexed keywords


EID: 43249129160     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20295     Document Type: Article
Times cited : (34)

References (22)
  • 1
    • 0033196950 scopus 로고    scopus 로고
    • A validated parallel across time and space solution of the heat transfer equation
    • 1 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
  • 2
    • 0011911815 scopus 로고    scopus 로고
    • Finite differences and collocation methods for the solution of the two dimensional heat equation
    • 2 J. Kouatchou, Finite differences and collocation methods for the solution of the two dimensional heat equation, Numer Methods Partial Diff Eq 17 (2001), 54–63.
    • (2001) Numer Methods Partial Diff Eq , vol.17 , pp. 54-63
    • Kouatchou, J.1
  • 3
    • 0034916588 scopus 로고    scopus 로고
    • Parallel implementation of a high‐order implicit collocation method for the heat equation
    • 3 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
  • 4
    • 33748938323 scopus 로고    scopus 로고
    • Implicit collocation technique for heat equation with non‐classic initial condition
    • 4 M. Dehghan, Implicit collocation technique for heat equation with non‐classic initial condition, Int J Nonlinear Sci Numer Simul 7 (2006), 461–466.
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , pp. 461-466
    • Dehghan, M.1
  • 5
    • 0000292881 scopus 로고
    • A fourth‐order Poisson solver
    • 5 M. M. Gupta, A fourth‐order Poisson solver, J Comp Phys 55 (1984), 166–172.
    • (1984) J Comp Phys , vol.55 , pp. 166-172
    • Gupta, M.M.1
  • 6
    • 0037211426 scopus 로고    scopus 로고
    • Comparison of time and spatial collocation methods for the heat equation
    • 6 J. Kouatchou, Comparison of time and spatial collocation methods for the heat equation, J Comput Appl Math 150 (2003), 129–141.
    • (2003) J Comput Appl Math , vol.150 , pp. 129-141
    • Kouatchou, J.1
  • 7
    • 50549189861 scopus 로고
    • A relaxation method for solving elliptic difference equations
    • 7 R. P. Fedorenko, A relaxation method for solving elliptic difference equations, USSR Comput Math Math Phys 1 (1962), 1092–1096.
    • (1962) USSR Comput Math Math Phys , vol.1 , pp. 1092-1096
    • Fedorenko, R.P.1
  • 8
    • 0001038302 scopus 로고
    • The speed of convergence of one iterative process
    • 8 R. P. Fedorenko, The speed of convergence of one iterative process, USSR Comp Math Math Phys 4 (1964), 227–235.
    • (1964) USSR Comp Math Math Phys , vol.4 , pp. 227-235
    • Fedorenko, R.P.1
  • 9
    • 0000811219 scopus 로고
    • On the convergence of a relaxation method with natural constraints on the elliptic operator
    • 9 N. S. Bakhvalov, On the convergence of a relaxation method with natural constraints on the elliptic operator, USSR Comp Math Math Phys 6 (1966), 101–135.
    • (1966) USSR Comp Math Math Phys , vol.6 , pp. 101-135
    • Bakhvalov, N.S.1
  • 10
    • 85120594267 scopus 로고
    • 10 A. Brandt, Multi‐level adaptive technique (MLAT) for fast numerical solution of boundary value problems, in the Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics, Paris, 1972, Lecture Notes in Physics, Vol. 18, Springer‐Verlag, New York, 1973.
    • (1973) , vol.18
    • Brandt, A.1
  • 11
    • 84966233568 scopus 로고
    • Multi‐level adaptive solutions to boundary value problems
    • 11 A. Brandt, Multi‐level adaptive solutions to boundary value problems, Math Comp 31 (1977), 333–390.
    • (1977) Math Comp , vol.31 , pp. 333-390
    • Brandt, A.1
  • 12
    • 0003815501 scopus 로고
    • Multigrid methods and applications
    • 12 W. Hackbush, Multigrid methods and applications, Springer‐Verlag, New York, 1985.
    • (1985)
    • Hackbush, W.1
  • 14
    • 33749132178 scopus 로고    scopus 로고
    • Multigrid solution of high order discreisation for three‐dimensional biharmonic equation with Dirichlet boundary conditions of second kinds
    • 14 M. Dehghan and A. Mohebbi, Multigrid solution of high order discreisation 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
  • 15
    • 0003733592 scopus 로고    scopus 로고
    • Computer solution of large linear systems
    • 15 G. Meurant, Computer solution of large linear systems, North‐Holland, New York, 1999.
    • (1999)
    • Meurant, G.1
  • 16
  • 17
    • 24944461151 scopus 로고    scopus 로고
    • Numerical approximations for solving a time‐dependent partial differential equation with non‐classical specification on four boundaries
    • 17 M. Dehghan, Numerical approximations for solving a time‐dependent partial differential equation with non‐classical specification on four boundaries, Appl Math Comput 167 (2005), 28–45.
    • (2005) Appl Math Comput , vol.167 , pp. 28-45
    • Dehghan, M.1
  • 18
    • 34250357719 scopus 로고    scopus 로고
    • Time‐splitting procedures for the solution of the two‐dimensional transport equation
    • 18 M. Dehghan, Time‐splitting procedures for the solution of the two‐dimensional transport equation, Kybernetes 36 (2007), 791–805.
    • (2007) Kybernetes , vol.36 , pp. 791-805
    • Dehghan, M.1
  • 19
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • 19 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
  • 20
    • 0036495685 scopus 로고    scopus 로고
    • Numerical solution of the three‐dimensional parabolic equation with an integral condition
    • 20 M. Dehghan, Numerical solution of the three‐dimensional parabolic equation with an integral condition, Numer Methods Partial Diff Eq 18 (2002), 193–202.
    • (2002) Numer Methods Partial Diff Eq , vol.18 , pp. 193-202
    • Dehghan, M.1
  • 21
    • 0035370485 scopus 로고    scopus 로고
    • Determination of a control parameter in the two‐dimensional diffusion equation
    • 21 M. Dehghan, Determination of a control parameter in the two‐dimensional diffusion equation, Appl Numer Math 37 (2001), 489–502.
    • (2001) Appl Numer Math , vol.37 , pp. 489-502
    • Dehghan, M.1
  • 22
    • 0036467361 scopus 로고    scopus 로고
    • Fourth‐order techniques for identifying a control parameter in the parabolic equations
    • 22 M. Dehghan, Fourth‐order techniques for identifying a control parameter in the parabolic equations, Internat J Engrg Sci 40 (2002), 433–447.
    • (2002) Internat J Engrg Sci , vol.40 , pp. 433-447
    • Dehghan, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.