IJPAM: Volume 106, No. 4 (2016)
DISCONTINUOUS BOUNDARY CONDITIONS IN
NONHOMOGENOUS MOVING CYLINDER USING MAPLE
Faculty of Applied Mathematics
Baku State University
23, Zahid Khalil, Baku, AZERBAIJAN
Department of Mathematics
Faculty of Science
New Damietta, 34517, EGYPT
Abstract. This paper presents a heat conduction problem with discontinuous boundary conditions in nonhomogeneous moving entire cylinder, which moves on the axis oz with any movement law . The temperature field is determined in the cylindrical coordinates system linked with motionless cylinder as a system in a single movement. Using the method inversion of the unit function , method a sequence of integral transformations like Fourier transform with respect to , Hankel transform with respect to , Bessel functions theory,general integral transforms theory, a solution in the form of the series is obtained.
And in order to illustrate theoretical results in this paper,we wrote special programming in Maple program and for a special cases, where numerical solutions were presented with explained graphics and discussed.
Received: December 11, 2015
AMS Subject Classification: 35K05, 35A22, 33C10, 44A05, 42A38, 68N15
Key Words and Phrases: heat conduction problem, Maple program, general integral transforms theory, sequential integral transformation method,bessel functions theory
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DOI: 10.12732/ijpam.v106i4.14 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 1127 - 1150