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Volumn 50, Issue 7, 2005, Pages 1167-1177

Implicit extension of Taylor series method with numerical derivatives for initial value problems

Author keywords

Collocation methods; Finite differences; Implicit algorithms; Numerical derivatives

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; NUMERICAL ANALYSIS; NUMERICAL METHODS; POLYNOMIALS;

EID: 26444463118     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.08.017     Document Type: Conference Paper
Times cited : (13)

References (16)
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    • Sur le développement des fonctions ou parties de fonctions en series don't les divers termes sont assujetis a satisfaire a une meme equation différentielle du second ordre, contenat une parametre variable
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    • Intégration par series des équations différentielles linéaires
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    • (1888) Math. Annallen , vol.32 , pp. 450-456
    • Peano, G.1
  • 5
    • 0002365744 scopus 로고
    • Mémoire sur la théorie des équations aux dérivées partiellee et la méthode des approximations successives
    • E. Picard Mémoire sur la théorie des équations aux dérivées partiellee et la méthode des approximations successives J. de Math. Pures et Appl. 6 4e série 1899 145 210
    • (1899) J. de Math. Pures et Appl. , vol.6 , Issue.4 , pp. 145-210
    • Picard, E.1
  • 6
    • 0343359824 scopus 로고
    • A program for the automatic integration of differential equations using the method of Taylor series
    • A. Gibbons A program for the automatic integration of differential equations using the method of Taylor series Computer J. 3 1960 108 111
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    • Gibbons, A.1
  • 7
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    • Implicit single step method by spline-like functions for solutions of ordinary differential equations
    • G. Molnárka, and B. Ráczkevi Implicit single step method by spline-like functions for solutions of ordinary differential equations Computers Math. Applic 16 9 1988 701 704
    • (1988) Computers Math. Applic , vol.16 , Issue.9 , pp. 701-704
    • Molnárka, G.1    Ráczkevi, B.2
  • 11
    • 38248999134 scopus 로고
    • Consistency and stability for some nonnegativity-conserving methods
    • Z. Horváth Consistency and stability for some nonnegativity- conserving methods Applied Numerical Mathematics 13 1993 371 381
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  • 12
    • 0040763312 scopus 로고
    • ATOMFT-solving ODES and DAEs using Taylor series
    • Y.F. Chang, and G. Corliss ATOMFT-solving ODES and DAEs using Taylor series Computers Math. Applic. 28 10-12 1994 209 233
    • (1994) Computers Math. Applic. , vol.28 , Issue.1012 , pp. 209-233
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  • 13
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    • Taylor series method with numerical derivatives for numerical solution of ODE initial values problems
    • Section Applied and Numerical Mathematics E. Miletics, and G. Molnárka Taylor series method with numerical derivatives for numerical solution of ODE initial values problems Hungarian Electronic Journal of Sciences 2003 1 16
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    • Miletics, E.1    Molnárka, G.2
  • 14
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    • An efficient method for the numerical evalution of partial derivatives of arbitrary order
    • R. Neidinger An efficient method for the numerical evalution of partial derivatives of arbitrary order ACM Trans. Mathm Software 18 1992 159 173
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.