Sinc Approximation of the Heat Flux on the Boundary of a Two-Dimensional Finite Slab

REFERENCES

• D.D. Ang , R. Gorenflo , L.K. Vy , and D.D. Trong ( 2002 ). Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction . Lecture Notes in Mathematics 1792 . Springer , New York .
   Google Scholar
• J.V. Beck , B . Blackwell , and C.R. St. Clair Jr. ( 1985 ). Inverse Heat Conduction, Ill-posed Problem . Wiley , New York
   Google Scholar
• A. Carasso ( 1981 ). Determining surface temperatures from interior observations . SIAM J. Appl. Math. 42 : 558 – 547 . [CSA]
   Web of Science ®Google Scholar
• et al. ( 1954 ). Tables of Integral Transforms . Vol. 1 . Mc Graw-Hill , New York .
   Google Scholar
• H. Engl and P. Manselli ( 1989 ). Stability estimates and regularization for an inverse heat conduction problem . Numer. Func. Anal. Optim. 10 : 517 – 540 . [CSA]
   Web of Science ®Google Scholar
• A. Friedman ( 1964 ). Partial Differential Equations of Parabolic Type . Englewood Cliff , N. J.
   Google Scholar
• T.T. Le and M.P. Navarro ( 1995 ). Surface temperature from borehole measurements: regularization and error estimates . Int. J. Math. Math. Sci. [CSA]
   Google Scholar
• Stenger , F. ( 1993 ). Numerical Methods Based on Sinc and Analytic Functions . Springer Verlag , Berlin-Heidelberg-New York .
   Google Scholar
• A.N. Tikhonov and V.Y. Arsenin ( 1977 ). Solutions of Ill-posed Problems . Winston , Washington .
   Google Scholar
• G. Talenti and S. Vessella ( 1981 ). Note on an ill-posed problem for the heat equation . J Aust. Math. Soc. 32 : 358 – 368 . [CSA]
   Web of Science ®Google Scholar