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Original Articles

The method of dual integral equations for analysis of heat transfer processes

Pages 280-288 | Received 17 Sep 2001, Published online: 14 Oct 2010

References

  • Kozlov , V.P. and Mandrik , P.A. 2000 . Systems of Integral and Differential Equations with L‐parameter in Problems of Mathematical Physics and Identification Methods of Heat Characteristics , Minsk : BGU Publ. . (in Russian)
  • Kozlov , V.P. and Mandrik , P.A. 2000 . Nonstationary temperature fields into isotropic half‐space under mixed boundary conditions, reference to engineering processes of a laser medicine . Jour. Eng. Phys. and Thermophys. , 73 (3) : 637 – 644 . (in Russian)
  • Kozlov , V.P. and Mandrik , P.A. 2001 . The solution of nonlinear two‐dimensional differential transfer equations with discontinuous boundary conditions . Jour. Eng. Phys. and Thermophys. , 74 (2) : 153 – 156 . (in Russian)
  • Kozlov , V.P. , Mandrik , P.A. and Yurchuk , N.I. 1998 . The method of dual integral equations into L‐image range for solution of two‐dimensional nonstationary heat transfer problems under mixed boundary conditions . Jour. Eng. Phys. and Thermophys. , 71 (4) : 734 – 743 . (in Russian)
  • Kozlov , V.P. , Mandrik , P.A. and Yurchuk , N.I. 1999 . The solution method of integral equations with nonsingular kernels into L‐image region . Vestn. Belorus. Univer. Ser. , 1 (2) : 37 – 42 . (in Russian)
  • Kozlov , V.P. , Mandrik , P.A. and Yurchuk , N.I. 1999 . The method of dual integral equations into Laplace transform range for solution of nonstationary heat transfer problems under mixed discontinuous boundary conditions . Jour. Eng. Phys. and Thermophys. , 72 (3) : 555 – 571 . (in Russian)
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  • Mandrik , P.A. 2000 . The method of dual integral equations with L‐parameter in nonstationary heat transfer problems with mixed boundary conditions for infinitely long band . Jour. Eng. Phys. and Thermophys. , 73 (5) : 902 – 906 . (in Russian)
  • Mandrik , P.A. 2001 . The solution method of dual integral equations with trigonometric functions into Laplace transform range . Vestn. Belorus. Univer. Ser. , 1 (1) : 89 – 91 . (in Russian)
  • Mandrik , P.A. 2001 . The solution of heat conduction equations with mixed boundary conditions on a surface of isotropic half‐space . Differentsial'nye Uravneniya , 37 (2) : 238 – 241 . (in Russian)
  • Sneddon , I.N. 1966 . Mixed Boundary Value Problems in Potential Theory , Amsterdam : North Holland Publ. .
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  • Virchenko , N.A. 1989 . Dual (Triple) Integral Equations , Kiev. : Kiev University Publ. . (in Russian)

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