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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제5호
- 발행연도
- 2017.1
- 수록면
- 439 - 447 (9page)
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This paper investigates the inverse problem of determining an unknown heat radiative coefficient, which is only time-dependent. This is an ill-posed problem, that is, small errors in data may cause huge deviations in determining solution. In this paper, the existence and uniqueness of the problem is established by the second Volterra integral equation theory, and the method of trace-type functional formulation combined with finite difference scheme is studied. One typical numerical example using the proposed method is illustrated and discussed.
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참고문헌 (21)
참고문헌 신청
J.R. Cannon / 1992 / Determination of source parameter in parabolic equations / Meccanica 27:85~94
J.R. Cannon / 1988 / Determination of parameter p(t) in H¨older classes for some semilinear parabolic equations / Inverse Problems 4:595~606
J.R. Cannon / 1990 / An inverse problem of finding a parameter in a semi-linear heat equation / J. Math. Anal. Appl 145:470~484
J.R. Cannon / 1994 / Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations / Inverse Problems 10:227~243
J.R. Cannon / 1989 / A class of nonlinear nonclassical parabolic equations / J. Differential Equations 79:266~288
J.R. Cannon / 1988 / Determination of parameter p(t) in H¨older classes for some semilinear parabolic equations / Inverse Problems 4:595~606
J.R. Cannon / 1990 / An inverse problem of finding a parameter in a semi-linear heat equation / J. Math. Anal. Appl 145:470~484
J.R. Cannon / 1994 / Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations / Inverse Problems 10:227~243
J.R. Cannon / 1989 / A class of nonlinear nonclassical parabolic equations / J. Differential Equations 79:266~288
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