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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제36권 제3호
- 발행연도
- 2018.1
- 수록면
- 257 - 270 (14page)
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초록· 키워드
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An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to $L^2$ norm.
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참고문헌 (26)
참고문헌 신청
D. N. Arnold / 1981 / Superconvergence of a finite approximation to the solution of a Sobolev equation in a single space variable / Math. Comp 36:53~63
G. I. Barenblatt / 1960 / Basic conception in the theory of seepage of homogenous liquids in fissured rocks / J. Appl. Math. Mech 24:1286~1309
R. W. Carroll / 1976 / Singular and degenerate Cauchy problems (Mathematics in Sciences and Engineering, Vol. 127) / Academic Press
P. L. Davis / 1970 / A quasilinear parabolic and related third order problem / J. Math. Anal. Appl 49:327~335
J. Douglas / 1982 / Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element or finite difference procedures / SIAM J. Numer. Anal 19:871~885
G. I. Barenblatt / 1960 / Basic conception in the theory of seepage of homogenous liquids in fissured rocks / J. Appl. Math. Mech 24:1286~1309
R. W. Carroll / 1976 / Singular and degenerate Cauchy problems (Mathematics in Sciences and Engineering, Vol. 127) / Academic Press
P. L. Davis / 1970 / A quasilinear parabolic and related third order problem / J. Math. Anal. Appl 49:327~335
J. Douglas / 1982 / Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element or finite difference procedures / SIAM J. Numer. Anal 19:871~885
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