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NEW ALGORITHM FOR THE DETERMINATION OF ANUNKNOWN PARAMETER IN PARABOLIC EQUATIONS

Minggen Cui|Sufang Yue
한국수학교육학회|2008.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제1호|pp. 19-34

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참고문헌

키워드

inverse problemparabolic equationsunknown source parameterrepro- ducing kernel space.
주제분류수학

초록

A new algorithm for the solution of an inverse problem of determining unknown source parameter in a parabolic equation in reproducing kernel space is considered. Numerical experiments are presented to demonstrate the accuracy and the e±ciency of the proposed algorithm.

Abstract

A new algorithm for the solution of an inverse problem of determining unknown source parameter in a parabolic equation in reproducing kernel space is considered. Numerical experiments are presented to demonstrate the accuracy and the e±ciency of the proposed algorithm.

참고문헌 (11)

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  2. J.A. Macbain, "Inversion theory for parametrized diffusion problem", SIAMI. Appl. Math, 18, pp.1386~1391 (1987)
  3. J.R. Cannon, "An inverse problem of finding a parometer in a semilinear heat equation", J. Math. Anal. Appl, 145(2), pp.470~484 (1990)
  4. J. R. Cannon, "Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations", Inverse Probl, 10, pp.227~243 (1994)
  5. J.R. Cannon, "Numerical solutions of some parabolic inverse problems. Numer", Meth. Partial Differential Equations, 2, pp.177~191 (1990)
  6. J.R. Cannon, "On a class of non-classical parabolic problems", J. Differential Equations, 79(2), pp.266~288 (1989)
  7. M. Dehghan, "Numerical solution of one dimensional parabolic inverse problem", Applied Mathematics and Computation, 136, pp.333~344 (2003)
  8. A. Fatullayev, "Numerical procedures for determining unknown source pa-rameter in parabolic equations", Mathematics and Computers in Simulation, 54, pp.159~167 (2000)
  9. J.R. Cannon, "Determination of source parameter in parabolic equations", Meccanica, 27, pp.85~94 (1992)
  10. C.L. Li, "The exact solution for solving a class nonlinear operator equations in the reproducing kernel space", Applied Mathematics and Computation, 143, pp.393~399 (2003)
  11. N. Aronszajn, "Theory of reproducing Kernel", Trans AMS, 68, pp.1~50 (1950)

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