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Volumn 17, Issue 1, 1997, Pages 103-123

The method of lines for parabolic differential-functional equations

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONAL ANALYSIS; INITIAL VALUE PROBLEMS;

EID: 0031515211     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/17.1.103     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 0013467567 scopus 로고
    • Approximate solutions of mixed problems for first-order partial differential-functional equations
    • BRANDI, P., KAMONT, Z., & SALVADORI, A. 1991 Approximate solutions of mixed problems for first-order partial differential-functional equations. Atti Sem. Mater. Fis. Univ. Modena 39, 277-302.
    • (1991) Atti Sem. Mater. Fis. Univ. Modena , vol.39 , pp. 277-302
    • Brandi, P.1    Kamont, Z.2    Salvadori, A.3
  • 2
    • 0012029241 scopus 로고
    • Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain
    • BRZYCHCZY, S. 1987 Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain. Ann. Polon. Math. 47, 309-317.
    • (1987) Ann. Polon. Math. , vol.47 , pp. 309-317
    • Brzychczy, S.1
  • 3
    • 0023862122 scopus 로고
    • The method of lines for the solutions of some nonlinear partial differential equations
    • Gyory, I. 1988 The method of lines for the solutions of some nonlinear partial differential equations. Comput. Math. Appl. 15, 635-658.
    • (1988) Comput. Math. Appl. , vol.15 , pp. 635-658
    • Gyory, I.1
  • 4
    • 0005303333 scopus 로고
    • The numerical solution of functional differential equations, a survey
    • JACKIEWICZ, Z., & KWAPISZ, M. 1991 The numerical solution of functional differential equations, a survey. Appl. Math. 33, 57-78.
    • (1991) Appl. Math. , vol.33 , pp. 57-78
    • Jackiewicz, Z.1    Kwapisz, M.2
  • 5
    • 0039165630 scopus 로고
    • The method of lines for parabolic differential functional equations with initial-boundary conditions of the Dirichlet type
    • KAMONT, Z. 1990 The method of lines for parabolic differential functional equations with initial-boundary conditions of the Dirichlet type. An. St. Univ. "Al. I. Cuza" lasi Matematicǎ 36, 215-224.
    • (1990) An. St. Univ. "Al. I. Cuza" Lasi Matematicǎ , vol.36 , pp. 215-224
    • Kamont, Z.1
  • 7
    • 0013532209 scopus 로고
    • Sur la probleme de cauchy pour systems d'équations aux dérivées partielles du premier ordre dans le cas hyperbolique de deux variables independantes
    • LOJASIEWICZ, S. 1957 Sur la probleme de Cauchy pour systems d'équations aux dérivées partielles du premier ordre dans le cas hyperbolique de deux variables independantes. Ann. Polon. Math. 3, 87-113.
    • (1957) Ann. Polon. Math. , vol.3 , pp. 87-113
    • Lojasiewicz, S.1
  • 8
    • 0001507350 scopus 로고
    • Coupled nonlinear parabolic systems with time delays
    • PAO, C. V. 1995 Coupled nonlinear parabolic systems with time delays. J. Math. Anal. Appl. 196, 237-265.
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 237-265
    • Pao, C.V.1
  • 9
    • 0039165631 scopus 로고
    • Convergence analysis of one-step schemes in the method of lines
    • SANZ-SERNA, J. M., & VERWER, J. G. 1989 Convergence analysis of one-step schemes in the method of lines. Appl. Math. Comput. 31, 183-196.
    • (1989) Appl. Math. Comput. , vol.31 , pp. 183-196
    • Sanz-Serna, J.M.1    Verwer, J.G.2
  • 10
    • 0039165632 scopus 로고
    • Uniqueness of the solution to a mixed problem for parabolic functional-differential equations in arbitrary domains
    • SZARSKI, J. 1976 Uniqueness of the solution to a mixed problem for parabolic functional-differential equations in arbitrary domains. Bull. Acad. Polon. Sci., Sér. Sci. Math., Astr. Phys. 24, 841-849.
    • (1976) Bull. Acad. Polon. Sci., Sér. Sci. Math., Astr. Phys. , vol.24 , pp. 841-849
    • Szarski, J.1
  • 11
    • 0040944200 scopus 로고
    • The approximate solution of Volterra differential systems with state-dependent time lags
    • TAVERNINI, L. 1978 The approximate solution of Volterra differential systems with state-dependent time lags. SIAM J. Numer. Anal. 15, 1039-1052.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 1039-1052
    • Tavernini, L.1
  • 12
    • 0039758179 scopus 로고
    • The method of lines for nonlinear parabolic differential equations with mixed derivatives
    • VOIGT, A. 1979 The method of lines for nonlinear parabolic differential equations with mixed derivatives. Numer. Math. 32, 197-207.
    • (1979) Numer. Math. , vol.32 , pp. 197-207
    • Voigt, A.1
  • 14
    • 0000446512 scopus 로고
    • Delay differential equations: Theory and numerics
    • (M. Ainsworth, J. Levesley and W. A. Light, eds). Oxford: Clarendon. (To appear)
    • ZENNARO, M. 1995 Delay differential equations: theory and numerics. Theory and Numerics of Ordinary and Partial Differential Equations (M. Ainsworth, J. Levesley and W. A. Light, eds). Oxford: Clarendon. (To appear)
    • (1995) Theory and Numerics of Ordinary and Partial Differential Equations
    • Zennaro, M.1
  • 15
    • 0028436645 scopus 로고
    • Convergence of the lines method for first-order partial differential-functional equations
    • ZUBIK-KOWAL, B. 1994 Convergence of the lines method for first-order partial differential-functional equations. Numer. Meth. Part. Diff. Eq. 10, 395-409.
    • (1994) Numer. Meth. Part. Diff. Eq. , vol.10 , pp. 395-409
    • Zubik-Kowal, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.