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Volumn 158, Issue 1, 2004, Pages 101-109

On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method

Author keywords

Adomian's decomposition method; Adomian's polynomials; Two dimensional Burgers' equations

Indexed keywords

ALGORITHMS; LINEAR SYSTEMS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

EID: 4544372221     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.08.066     Document Type: Article
Times cited : (58)

References (31)
  • 3
    • 0029276581 scopus 로고
    • The diffusion - Brusselator equation
    • Adomian G. The diffusion - Brusselator equation. Comput. Math. Appl. 29:1995;1-3.
    • (1995) Comput. Math. Appl. , vol.29 , pp. 1-3
    • Adomian, G.1
  • 4
    • 77956834067 scopus 로고
    • A mathematical model illustrating the theory of turbulence
    • Burger J.M. A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. I:1948;171-199.
    • (1948) Adv. Appl. Mech. , vol.1 , pp. 171-199
    • Burger, J.M.1
  • 5
    • 0000332692 scopus 로고
    • On a quasilinear parabolic equations occurring in aerodynamics
    • Cole J.D. On a quasilinear parabolic equations occurring in aerodynamics. Quart. Appl. Math. 9:1951;225-236.
    • (1951) Quart. Appl. Math. , vol.9 , pp. 225-236
    • Cole, J.D.1
  • 6
    • 0020544741 scopus 로고
    • Generating exact solutions of the two-dimensional Burgers' equation
    • Fletcher C.A.J. Generating exact solutions of the two-dimensional Burgers' equation. Int. J. Numer. Meth. Fluids. 3:1983;213-216.
    • (1983) Int. J. Numer. Meth. Fluids , vol.3 , pp. 213-216
    • Fletcher, C.A.J.1
  • 7
    • 0018059510 scopus 로고
    • Numerical solution of coupled Burgers Δ equations
    • Jain P.C., Holla D.N. Numerical solution of coupled Burgers. Δ equations Int. J. Numer. Meth. Eng. 12:1978;213-222.
    • (1978) Int. J. Numer. Meth. Eng. , vol.12 , pp. 213-222
    • Jain, P.C.1    Holla, D.N.2
  • 8
    • 38249014214 scopus 로고
    • An explicit-implicit method for a class of time-dependent partial differential equations
    • Wubs F.W., de Goede E.D. An explicit-implicit method for a class of time-dependent partial differential equations. Appl. Numer. Math. 9:1992;157-181.
    • (1992) Appl. Numer. Math. , vol.9 , pp. 157-181
    • Wubs, F.W.1    De Goede, E.D.2
  • 9
    • 0030142766 scopus 로고    scopus 로고
    • Multilevel schemes for solving unsteady equations
    • Goyon O. Multilevel schemes for solving unsteady equations. Int. J. Numer. Meth. Fluids. 22:1996;937-959.
    • (1996) Int. J. Numer. Meth. Fluids , vol.22 , pp. 937-959
    • Goyon, O.1
  • 10
    • 0037431444 scopus 로고    scopus 로고
    • A fully implicit finite-difference scheme for two-dimensional Burgers' equations
    • Bahadir A.R. A fully implicit finite-difference scheme for two-dimensional Burgers' equations. Appl. Math. Comput. 137:2003;131-137.
    • (2003) Appl. Math. Comput. , vol.137 , pp. 131-137
    • Bahadir, A.R.1
  • 12
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135:1988;501-544.
    • (1988) J. Math. Anal. Appl , vol.135 , pp. 501-544
    • Adomian, G.1
  • 14
    • 0001250661 scopus 로고    scopus 로고
    • On the solution of a Korteweg-de Vries like equation by the decomposition method
    • Kaya D. On the solution of a Korteweg-de Vries like equation by the decomposition method. Int. J. Comput. Math. 72:1999;531-539.
    • (1999) Int. J. Comput. Math. , vol.72 , pp. 531-539
    • Kaya, D.1
  • 15
    • 0033659732 scopus 로고    scopus 로고
    • An application of the decomposition method on second order wave equations
    • Kaya D. An application of the decomposition method on second order wave equations. Int. J. Comput. Math. 75:2000;235-245.
    • (2000) Int. J. Comput. Math. , vol.75 , pp. 235-245
    • Kaya, D.1
  • 16
    • 0037424857 scopus 로고    scopus 로고
    • On a generalized fifth order KdV equations
    • Kaya D., El-Sayed S.M. On a generalized fifth order. KdV equations Phys. Lett. A. 310:2003;44-51.
    • (2003) Phys. Lett. A , vol.310 , pp. 44-51
    • Kaya, D.1    El-Sayed, S.M.2
  • 17
    • 0037411749 scopus 로고    scopus 로고
    • An application of the decomposition method for the generalized KdV and RLW equations
    • Kaya D., El-Sayed S.M. An application of the decomposition method for the generalized. KdV and RLW equations Chaos, Solitons Fract. 17:2003;869-877.
    • (2003) Chaos, Solitons Fract. , vol.17 , pp. 869-877
    • Kaya, D.1    El-Sayed, S.M.2
  • 18
    • 1242343926 scopus 로고    scopus 로고
    • Comparing numerical methods for Helmholtz equation model problem
    • in press
    • S.M. El-Sayed, D. Kaya, Comparing numerical methods for Helmholtz equation model problem, Appl. Math. Comput., in press.
    • Appl. Math. Comput.
    • El-Sayed, S.M.1    Kaya, D.2
  • 19
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Cherruault Y. Convergence of Adomian's method. Kybernetes. 18:1989;31-38.
    • (1989) Kybernetes , vol.18 , pp. 31-38
    • Cherruault, Y.1
  • 20
    • 0000395259 scopus 로고
    • Decomposition methods: A new proof of convergence
    • Cherruault Y., Adomian G. Decomposition methods: a new proof of convergence. Math. Comput. Model. 18:1993;103-106.
    • (1993) Math. Comput. Model. , vol.18 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2
  • 21
    • 43949159125 scopus 로고
    • Convergence of Adomian's method applied to differential equations
    • Abbaoui K., Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 28:1994;103-109.
    • (1994) Comput. Math. Appl. , vol.28 , pp. 103-109
    • Abbaoui, K.1    Cherruault, Y.2
  • 22
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition methods
    • Abbaoui K., Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29:1995;103-108.
    • (1995) Comput. Math. Appl. , vol.29 , pp. 103-108
    • Abbaoui, K.1    Cherruault, Y.2
  • 24
    • 0036347259 scopus 로고    scopus 로고
    • New numerical study of Adomian method applied to a diffusion model
    • Ngarhasta N., Some B., Abbaoui K., Cherruault Y. New numerical study of Adomian method applied to a diffusion model. Kybernetes. 31:2002;61-75.
    • (2002) Kybernetes , vol.31 , pp. 61-75
    • Ngarhasta, N.1    Some, B.2    Abbaoui, K.3    Cherruault, Y.4
  • 25
    • 0038351643 scopus 로고    scopus 로고
    • An explicit solution of coupled viscous Burgers' equation by the decomposition method
    • Kaya D. An explicit solution of coupled viscous Burgers' equation by the decomposition method. Int. J. Math. Math. Sci. 27:2001;675-680.
    • (2001) Int. J. Math. Math. Sci. , vol.27 , pp. 675-680
    • Kaya, D.1
  • 26
    • 0038013498 scopus 로고    scopus 로고
    • Explicit solution of a generalized nonlinear Boussinesq equation
    • Kaya D. Explicit solution of a generalized nonlinear Boussinesq equation. J. Appl. Math. 1:2001;29-37.
    • (2001) J. Appl. Math. , vol.1 , pp. 29-37
    • Kaya, D.1
  • 27
    • 0036645762 scopus 로고    scopus 로고
    • An application for a generalized KdV equation by decomposition method
    • Kaya D., Aassila M. An application for a generalized. KdV equation by decomposition method Phys. Lett. A. 299:2002;201-206.
    • (2002) Phys. Lett. A , vol.299 , pp. 201-206
    • Kaya, D.1    Aassila, M.2
  • 28
    • 0141748145 scopus 로고    scopus 로고
    • Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation
    • Kaya D. Solitary wave solutions for a generalized Hirota-Satsuma coupled. KdV equation Appl. Math. Comput. 147:2004;69-78.
    • (2004) Appl. Math. Comput. , vol.147 , pp. 69-78
    • Kaya, D.1
  • 29
    • 1842505268 scopus 로고    scopus 로고
    • Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
    • in press
    • D. Kaya, I.E. Inan, Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation, Appl. Math. Comput., in press.
    • Appl. Math. Comput.
    • Kaya, D.1    Inan, I.E.2
  • 31
    • 0038005388 scopus 로고    scopus 로고
    • On the solution of the coupled Schrödinger- KdV equation by the decomposition method
    • Kaya D., El-Sayed Salah M. On the solution of the coupled Schrödinger-. KdV equation by the decomposition method Phys. Lett. A. 313:2003;82-88.
    • (2003) Phys. Lett. A , vol.313 , pp. 82-88
    • Kaya, D.1    El-Sayed, S.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.