SOLUTION OF HEAT CONDUCTION PROBLEM WITH DISCONTINUOUS BOUNDARY CONDITIONS IN NONHOMOGENOUS MOVING CYLINDER USING MAPLE

G.R. Gasimov, Z.A. Abusutash
2016 International Journal of Pure and Applied Mathematics  
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 z = S(t). 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 η(t − S −1 (z)), method a sequence of integral transformations like Fourier transform with respect to z, Hankel transform
more » ... ankel transform with respect to r, 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.
doi:10.12732/ijpam.v106i4.8 fatcat:rcebry3ir5eq5hn54hqbsnyv7a