OPERATIONAL CALCULUS METHOD FOR NONSTATIONARY HEAT EQUATION WITH MIXED BOUNDARY CONDITIONS

Saleh A. Abushendi (Jordan)

Received February 18, 2008

References:

[1] N. A. Abdelrazaq, The dual integral equations method for nonstationary heat conduction equation, J. Engineering Thermophysics 17(1) (2005), 103-112. [2] N. A. Abdelrazaq, The solution of heat equation with mixed boundary conditions, J. Math. Stat. 2(2) (2006), 346-350. [3] Renato M. Cotta, ed., The Integral Transform Method in Thermal and Fluids Sciences and Engineering, Begel House, Inc., New York, 1998. [4] I. S. Gradseyn and I. M. Ryznik, Tables of Integrals, Series and Products, Academic Press, New York, 1992. [5] Abdul J. Jerry, Introduction to Integral Equations with Applications, Second Edition, Wiley and Sons. Inc., 1999. [6] E. A. Kindall, Numerical Solution of Integral Equations of The Second Kind, Cambridge University Press, 1997. [7] B. N. Mandal and N. Mandal, Advances in Dual Integral Equations, CRC, London, 1999. [8] P. A. Mandrik, The method of the dual integral equation for analysis of heat transfer processes, Math. Modeling Analysis 6(2) (2001), 280-288. [9] Nico M. Temme, Special Functions of an Introduction to the Classical Functions of Mathematical Physics, John Wiley, New York, 1996. [10] J. S. Uflyand, Dual Equations in Mathematical Physics Equations, Nauka, Leningrad, 1977.

Keywords and phrases: dual integral equation, mixed boundary conditions, heat equation.