SCOPUS 정보 검색 플랫폼

Volumn 97, Issue 1, 1998, Pages 37-44

A comparison between Adomian decomposition method and Taylor series method in the series solutions

Author keywords

Adomian decomposition method; Linear and nonlinear differential equations; Taylor series method

Indexed keywords

EID: 0002566545 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/S0096-3003(97)10127-8 Document Type: Article

Times cited : (137)

References (11)

1
- 0025548782
- A review of the decomposition method and some recent results for nonlinear equation
- G. Adomian, A review of the decomposition method and some recent results for nonlinear equation, Math. Comput. Model. 13 (7) (1992) 17-43.
- (1992) Math. Comput. Model. , vol.13 , Issue.7 , pp. 17-43
- Adomian, G.¹

2
- 0004083804
- Kluwer Academic Publishers, Dordrecht
- G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Dordrecht, 1994.
- (1994) Solving Frontier Problems of Physics: the Decomposition Method
- Adomian, G.¹

3
- 0001845227
- Adomian's decomposition method: A powerful technique for solving engineering equations by computer
- S. Van Tonningen, Adomian's decomposition method: a powerful technique for solving engineering equations by computer, Computers Education J. 5 (4) (1995) 30-34.
- (1995) Computers Education J. , vol.5 , Issue.4 , pp. 30-34
- Van Tonningen, S.¹

4
- 0013154297
- New results for convergence of Adomian's method applied to integral equations
- Y. Cherruault, G. Saccomandi, B. Some, New results for convergence of Adomian's method applied to integral equations, Math. Comput. Model. 16 (2) (1992) 85-93.
- (1992) Math. Comput. Model. , vol.16 , Issue.2 , pp. 85-93
- Cherruault, Y.¹ Saccomandi, G.² Some, B.³

5
- 33947181839
- Application of the decomposition method to the solution of the reaction-convection-diffusion equation
- Y. Eugene, Application of the decomposition method to the solution of the reaction-convection-diffusion equation, Appl. Math. Comput. 56 (1993) 1-27.
- (1993) Appl. Math. Comput. , vol.56 , pp. 1-27
- Eugene, Y.¹

6
- 0000945028
- 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

7
- 0008175028
- A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
- A.M. Wazwaz, A reliable technique for solving the weakly singular second-kind Volterra-type integral equations, Appl. Math. Comput. 80 (1996) 287-299.
- (1996) Appl. Math. Comput. , vol.80 , pp. 287-299
- Wazwaz, A.M.¹

8
- 33947177477
- Comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
- N. Bellomo, R.A. Monaco, Comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations, J. Math. Anal. Appl. 110 (1985) 495-502.
- (1985) J. Math. Anal. Appl. , vol.110 , pp. 495-502
- Bellomo, N.¹ Monaco, R.A.²

9
- 0000738773
- On the Adomian (decomposition) method and comparisons with Picard's method
- R. Rach, On the Adomian (decomposition) method and comparisons with Picard's method, J. Math. Anal. Appl. 128 (1987) 480-483.
- (1987) J. Math. Anal. Appl. , vol.128 , pp. 480-483
- Rach, R.¹

10
- 0003411413
- Wiley, New York
- W.E. Boyce, R.C. DiPrima, Elementary Differential Equations, Wiley, New York, 1997.
- (1997) Elementary Differential Equations
- Boyce, W.E.¹ DiPrima, R.C.²

11
- 0003491619
- McGraw-Hill, New York
- C.M. Bender, S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York, 1978.
- (1978) Advanced Mathematical Methods for Scientists and Engineers
- Bender, C.M.¹ Orszag, S.A.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.