메뉴 건너뛰기




Volumn 60, Issue 6, 2002, Pages 507-512

A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations

Author keywords

Adomian's decomposition method; Burgers equation; Parabolic partial differential equation; Partial solution

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DECOMPOSITION; INTEGRATION; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

EID: 0037107899     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(01)00438-4     Document Type: Article
Times cited : (85)

References (12)
  • 1
    • 0000332692 scopus 로고
    • On a quasilinear parabolic equation occurring in aerodynamic
    • Cole J.D., On a quasilinear parabolic equation occurring in aerodynamic Quart. Appl. Math. 9 1951 225-236.
    • (1951) Quart. Appl. Math. , vol.9 , pp. 225-236
    • Cole, J.D.1
  • 2
    • 77956834067 scopus 로고
    • A mathematical model illustrating the theory of turbulence
    • Academic Press, New York
    • J. Burgers, A mathematical model illustrating the theory of turbulence, Advances in Applied Mechanics, Academic Press, New York, 1948, pp. 171-199.
    • (1948) Advances in Applied Mechanics , pp. 171-191
    • Burgers, J.1
  • 5
    • 0003280712 scopus 로고
    • Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
    • Adomian G., Rach R., Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations Comp. Math. Appl. 19 1990 9-12.
    • (1990) Comp. Math. Appl. , vol.19 , pp. 9-12
    • Adomian, G.1    Rach, R.2
  • 6
    • 0031324875 scopus 로고    scopus 로고
    • Equality of partial solutions in the decomposition method for partial differential equations
    • Wazwaz A.M., Equality of partial solutions in the decomposition method for partial differential equations Int. J. Comput. Math. 65 1997 293-308.
    • (1997) Int. J. Comput. Math. , vol.65 , pp. 293-308
    • Wazwaz, A.M.1
  • 8
    • 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
  • 10
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Cherruault Y., Convergence of Adomian's method Kybernetics 18 1989 31-38.
    • (1989) Kybernetics , vol.18 , pp. 31-38
    • Cherruault, Y.1
  • 11
    • 0002588102 scopus 로고
    • Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
    • Rèpaci A., Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method Appl. Math. Lett. 3 1990 35-39.
    • (1990) Appl. Math. Lett. , vol.3 , pp. 35-39
    • Rèpaci, A.1
  • 12
    • 0000395259 scopus 로고
    • Decomposition methods: A new proof of convergence
    • Cherruault Y., Adomian G., Decomposition methods: a new proof of convergence Math. Comp. Model. 18 1993 103-106.
    • (1993) Math. Comp. Model. , vol.18 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.