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Volumn 13, Issue 1, 1997, Pages 1-12

Optimal uniform finite difference scheme of order one for singularly perturbed Riccati equation

Author keywords

Critical point; Explicit scheme; Finite difference scheme; Reduced problem; Riccati equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERRORS; ESTIMATION; OPTIMIZATION; PERTURBATION TECHNIQUES; RICCATI EQUATIONS;

EID: 0030784974     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199701)13:1<1::AID-CNM18>3.0.CO;2-G     Document Type: Article
Times cited : (6)

References (16)
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  • 4
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    • E. M. Freeman, 'Wave impedance of induction devices using the scalar Riccati equation', Proc. IEE, 123, 145-148 (1976).
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  • 5
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    • Computing periodic solutions of Riccati differential equations
    • D. A. Sanchez, 'Computing periodic solutions of Riccati differential equations', Appl. Math. Comput., 6, 283-287, (1980).
    • (1980) Appl. Math. Comput. , vol.6 , pp. 283-287
    • Sanchez, D.A.1
  • 6
    • 38249043046 scopus 로고
    • Exponentially fitted one-step methods for the numerical solution of the scalar Riccati equation
    • J. Carroll, 'Exponentially fitted one-step methods for the numerical solution of the scalar Riccati equation', Comput. Appl., 16, 9-25 (1986).
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    • Carroll, J.1
  • 8
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    • A uniform scheme for the singularly perturbed Riccati equation
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  • 11
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    • Optimal uniform finite difference schemes of order two for stiff differential equations
    • K. Selvakumar, 'Optimal uniform finite difference schemes of order two for stiff differential equations', Int. J. Commun. Numer. Methods Eng., 10, 611 -622 (1994).
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    • Selvakumar, K.1
  • 12
    • 3843079948 scopus 로고
    • A computational method for solving singular perturbation problems using exponentially fitted finite difference schemes
    • K. Selvakumar, 'A computational method for solving singular perturbation problems using exponentially fitted finite difference schemes', J. Appl. Math. Comput., 66, 277-292 (1994).
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  • 13
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    • A computational method for solving a chemical flow reactor problem using shooting method
    • K. Selvakumar, 'A computational method for solving a chemical flow reactor problem using shooting method', J. Appl. Math. Comput., 68, 27-40 (1995).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.