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Applied Mathematics and Computation
Volumn 181, Issue 1, 2006, Pages 206-213
The decomposition method for initial value problems
Author keywords

Decomposition method; Heat equation; Plate equation; Wave equation
Indexed keywords

DECOMPOSITION METHOD; HEAT EQUATION; PLATE EQUATION;
EID: 33749534281     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.01.025     Document Type: Article
Times cited : (23)
References (19)
  • 3
    • 0036347259 scopus 로고    scopus 로고
    • New numerical study of Adomian's method applied to a diffusion model
    • Ngarhasta N., Some B., Abbaoui K., and Cherruault Y. New numerical study of Adomian's 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
  • 4
    • 0013154297 scopus 로고
    • New results for convergence of Adomian's method applied to integral equations
    • Cherruault Y., Saccomandi G., and Some B. New results for convergence of Adomian's method applied to integral equations. Math. Comput. Modell. 16 (1992) 85-93
    • (1992) Math. Comput. Modell. , vol.16 , pp. 85-93
    • Cherruault, Y.1    Saccomandi, G.2    Some, B.3
  • 5
    • 0346119929 scopus 로고    scopus 로고
    • Exact solutions for heat-like and wave-like equations with variable coefficients
    • Wazwaz A.-M., and Gorguis A. Exact solutions for heat-like and wave-like equations with variable coefficients. Appl. Math. Comput. 149 (2004) 15-29
    • (2004) Appl. Math. Comput. , vol.149 , pp. 15-29
    • Wazwaz, A.-M.1    Gorguis, A.2
  • 6
    • 10444220985 scopus 로고    scopus 로고
    • Solution of linear and nonlinear parabolic equations by the decomposition method
    • Soufyane A., and Boulmalf M. Solution of linear and nonlinear parabolic equations by the decomposition method. Appl. Math. Comput. 162 (2005) 687-693
    • (2005) Appl. Math. Comput. , vol.162 , pp. 687-693
    • Soufyane, A.1    Boulmalf, M.2
  • 7
    • 33749508561 scopus 로고    scopus 로고
    • An analytic approximation to the solution of heat equation and restrictions of the method
    • Biazar J., and Amirtaimoori A.R. An analytic approximation to the solution of heat equation and restrictions of the method. Appl. Math. Comput. 171 (2005) 740-747
    • (2005) Appl. Math. Comput. , vol.171 , pp. 740-747
    • Biazar, J.1    Amirtaimoori, A.R.2
  • 8
    • 25844470089 scopus 로고    scopus 로고
    • Algorithm and mechanization to Cauchy problem of parabolic equation
    • Zhao C. Algorithm and mechanization to Cauchy problem of parabolic equation. Appl. Math. Comput. 169 (2005) 1038-1044
    • (2005) Appl. Math. Comput. , vol.169 , pp. 1038-1044
    • Zhao, C.1
  • 9
    • 84986964544 scopus 로고
    • An exact solution of the inverse problem in heat conduction theory and applications
    • Burggraf O.R. An exact solution of the inverse problem in heat conduction theory and applications. ASME J. Heat Transfer 86C (1964) 373-382
    • (1964) ASME J. Heat Transfer , vol.86 C , pp. 373-382
    • Burggraf, O.R.1
  • 10
    • 27144440503 scopus 로고    scopus 로고
    • Numerical solutions of the Laplace equation
    • Al-Khaled K. Numerical solutions of the Laplace equation. Appl. Math. Comput. 170 (2005) 1271-1283
    • (2005) Appl. Math. Comput. , vol.170 , pp. 1271-1283
    • Al-Khaled, K.1
  • 11
    • 0347128376 scopus 로고    scopus 로고
    • Solution of wave equation by Adomian's decomposition method and restrictions of the method
    • Biazar J., and Islam R. Solution of wave equation by Adomian's decomposition method and restrictions of the method. Appl. Math. Comput. 149 (2004) 807-814
    • (2004) Appl. Math. Comput. , vol.149 , pp. 807-814
    • Biazar, J.1    Islam, R.2
  • 12
    • 25144432855 scopus 로고    scopus 로고
    • Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation
    • Zhao C. Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Appl. Math. Comput. 167 (2005) 957-963
    • (2005) Appl. Math. Comput. , vol.167 , pp. 957-963
    • Zhao, C.1
  • 13
    • 31244438418 scopus 로고    scopus 로고
    • The Cauchy problem for the wave equation using the decomposition method
    • Lesnic D. The Cauchy problem for the wave equation using the decomposition method. Appl. Math. Lett. 15 (2002) 697-701
    • (2002) Appl. Math. Lett. , vol.15 , pp. 697-701
    • Lesnic, D.1
  • 14
    • 0032097270 scopus 로고    scopus 로고
    • The Poisson formula revisited
    • Chen H. The Poisson formula revisited. SIAM Rev. 40 (1998) 353-355
    • (1998) SIAM Rev. , vol.40 , pp. 353-355
    • Chen, H.1
  • 15
    • 23644436694 scopus 로고    scopus 로고
    • A reliable technique for solving the wave equation in an infinite one-dimensional medium
    • Wazwaz A.-M. 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
  • 17
    • 0036772904 scopus 로고    scopus 로고
    • The decomposition method for forward and backward time-dependent problems
    • Lesnic D. The decomposition method for forward and backward time-dependent problems. J. Comput. Appl. Math. 147 (2002) 27-39
    • (2002) J. Comput. Appl. Math. , vol.147 , pp. 27-39
    • Lesnic, D.1
  • 18
    • 23644437348 scopus 로고    scopus 로고
    • Necessary conditions for the appearance of noise terms in decomposition solution series
    • Wazwaz A.-M. Necessary conditions for the appearance of noise terms in decomposition solution series. Appl. Math. Comput. 81 (1997) 265-274
    • (1997) Appl. Math. Comput. , vol.81 , pp. 265-274
    • Wazwaz, A.-M.1
  • 19
    • 0002346148 scopus 로고
    • Solving frontier problems modelled by nonlinear partial differential equations
    • Adomian G. Solving frontier problems modelled by nonlinear partial differential equations. Comput. Math. Appl. 22 (1991) 91-94
    • (1991) Comput. Math. Appl. , vol.22 , pp. 91-94
    • Adomian, G.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.