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Volumn 195, Issue 2, 2008, Pages 799-808

A new algorithm for calculating one-dimensional differential transform of nonlinear functions

Author keywords

Differential transform method; Nonlinear ordinary differential equation; Troesch's problem

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RELIABILITY THEORY;

EID: 37349013500     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.05.026     Document Type: Article
Times cited : (103)

References (10)
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    • (1996) ASME J. Vib. Acoust. , vol.118 , pp. 83-87
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  • 5
    • 0012135963 scopus 로고    scopus 로고
    • Analysis of the response of a strongly nonlinear damped system using a differential transformation technique
    • Jang M.J., and Chen C.L. Analysis of the response of a strongly nonlinear damped system using a differential transformation technique. Appl. Math. Comput. 88 (1997) 137-151
    • (1997) Appl. Math. Comput. , vol.88 , pp. 137-151
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  • 6
    • 2942741305 scopus 로고    scopus 로고
    • Application of the differential transformation method to a nonlinear conservative system
    • Chen C.K., and Chen S.S. Application of the differential transformation method to a nonlinear conservative system. Appl. Math. Comput. 154 (2004) 431-441
    • (2004) Appl. Math. Comput. , vol.154 , pp. 431-441
    • Chen, C.K.1    Chen, S.S.2
  • 7
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    • Differential transformation technique for steady nonlinear heat conduction problems
    • Chen C.L., and Liu Y.C. Differential transformation technique for steady nonlinear heat conduction problems. Appl. Math. Comput. 95 (1998) 155-164
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    • Chen, C.L.1    Liu, Y.C.2
  • 8
    • 20444478300 scopus 로고    scopus 로고
    • Adomian decomposition method for a reliable treatment of the Bratu-type equations
    • Wazwaz A.M. Adomian decomposition method for a reliable treatment of the Bratu-type equations. Appl. Math. Comput. 166 (2005) 652-663
    • (2005) Appl. Math. Comput. , vol.166 , pp. 652-663
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  • 9
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    • On the convergence of boundary-value problems into stable initial-value problems via invariant imbedding algorithms
    • Aziz A.K. (Ed), Academic Press, New York
    • Scott M.R. On the convergence of boundary-value problems into stable initial-value problems via invariant imbedding algorithms. In: Aziz A.K. (Ed). Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (1975), Academic Press, New York 89-146
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.