메뉴 건너뛰기




Volumn 169, Issue 2, 2005, Pages 953-962

A new modification of Adomian decomposition method for solving a kind of evolution equation

Author keywords

Convergence; Decomposition method; Divergent; Evolution equation; Modification

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MODIFICATION; PROBLEM SOLVING;

EID: 25844468642     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.09.072     Document Type: Article
Times cited : (35)

References (15)
  • 1
    • 0000945028 scopus 로고
    • A new approach to the nonlinear advection problem: An application of the decomposition method
    • A.M. Wazwaz A new approach to the nonlinear advection problem: An application of the decomposition method Appl. Math. Comput. 72 1995 175 181
    • (1995) Appl. Math. Comput. , vol.72 , pp. 175-181
    • Wazwaz, A.M.1
  • 2
    • 23644436694 scopus 로고    scopus 로고
    • A reliable technique for solving the wave equation in an infinite one-dimensional medium
    • A.M. Wazwaz A reliable technique for solving the wave equation in an infinite one-dimensional medium Appl. Math. Comput. 92 1998 1 7
    • (1998) Appl. Math. Comput. , vol.92 , pp. 1-7
    • Wazwaz, A.M.1
  • 3
    • 0035311871 scopus 로고    scopus 로고
    • A computational algebraic investigation of the decomposition method for time-dependent problems
    • D. Lesnic A computational algebraic investigation of the decomposition method for time-dependent problems Appl. Math. Comput. 119 2001 197 206
    • (2001) Appl. Math. Comput. , vol.119 , pp. 197-206
    • Lesnic, D.1
  • 5
    • 0022440022 scopus 로고
    • A new approach to the heat equation-An application of the decomposition method
    • G. Adomian A new approach to the heat equation-An application of the decomposition method J. Math. Anal. Appl. 113 1986 202 209
    • (1986) J. Math. Anal. Appl. , vol.113 , pp. 202-209
    • Adomian, G.1
  • 6
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian 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
  • 7
    • 0002346148 scopus 로고
    • Solving frontier problems modelled by nonlinear partial differential equations
    • G. Adomian Solving frontier problems modelled by nonlinear partial differential equations Comp. Math. Appl. 22 8 1991 91 94
    • (1991) Comp. Math. Appl. , vol.22 , Issue.8 , pp. 91-94
    • Adomian, G.1
  • 8
    • 0038374490 scopus 로고    scopus 로고
    • A new approach to the cubic schrodinger equation: An application of the decomposition technique
    • S.A. Khuri A new approach to the cubic schrodinger equation: an application of the decomposition technique Appl. Math. Comput. 97 1998 251 254
    • (1998) Appl. Math. Comput. , vol.97 , pp. 251-254
    • Khuri, S.A.1
  • 9
    • 0032124235 scopus 로고    scopus 로고
    • New ideas for solving size-structured population models
    • A.M. Wazwaz, and S.A. Khuri New ideas for solving size-structured population models Appl. Math. Comput. 93 1998 91 96
    • (1998) Appl. Math. Comput. , vol.93 , pp. 91-96
    • Wazwaz, A.M.1    Khuri, S.A.2
  • 10
    • 0035840362 scopus 로고    scopus 로고
    • Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
    • A.M. Wazwaz Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions Appl. Math. Comput. 123 2001 133 140
    • (2001) Appl. Math. Comput. , vol.123 , pp. 133-140
    • Wazwaz, A.M.1
  • 11
    • 0035949881 scopus 로고    scopus 로고
    • A computational approach to soliton solutions of the Kadomtsev- Petviashvili equation
    • A.M. Wazwaz A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation Appl. Math. Comput. 123 2001 205 217
    • (2001) Appl. Math. Comput. , vol.123 , pp. 205-217
    • Wazwaz, A.M.1
  • 12
    • 0035949870 scopus 로고    scopus 로고
    • Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
    • A.M. Wazwaz Analytic treatment for variable coefficient fourth-order parabolic partial differential equations Appl. Math. Comput. 123 2001 219 227
    • (2001) Appl. Math. Comput. , vol.123 , pp. 219-227
    • Wazwaz, A.M.1
  • 13
    • 0040313517 scopus 로고    scopus 로고
    • A reliable modification of Adomian decomposition method
    • A.M. Wazwaz A reliable modification of Adomian decomposition method Appl. Math. Comput. 102 1999 77 86
    • (1999) Appl. Math. Comput. , vol.102 , pp. 77-86
    • Wazwaz, A.M.1
  • 14
    • 0037174262 scopus 로고    scopus 로고
    • The decomposition method for ordinary differential equations with discontinuities
    • L. Casasus, and W. Al-Hayani The decomposition method for ordinary differential equations with discontinuities Appl. Math. Comput. 131 2002 245 251
    • (2002) Appl. Math. Comput. , vol.131 , pp. 245-251
    • Casasus, L.1    Al-Hayani, W.2
  • 15
    • 0036778809 scopus 로고    scopus 로고
    • Solution of nonlinear equations by modified adomian decomposition method
    • E. Babolian, and J. Biazar Solution of nonlinear equations by modified adomian decomposition method Appl. Math. Comput. 132 2002 167 172
    • (2002) Appl. Math. Comput. , vol.132 , pp. 167-172
    • Babolian, E.1    Biazar, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.