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   Comparison Between Rational Gegenbauer and Modified Generalized Laguerre Functions Collocation Methods For Solving the Case of Heat Transfer Equations Arising in Porous Medium  
   
نویسنده Parand K ,Baharifard F ,Bayat Babolghani F
منبع International Journal Of Industrial Mathematics - 2012 - دوره : 4 - شماره : 2 - صفحه:107 -122
چکیده    In this paper, we provide the collocation method for natural convection heat transferequations embedded in porous medium which are of great importance in the design ofcanisters for nuclear waste disposal. this problem is a non-linear, three-point boundaryvalue problem on semi-infinite interval. we use two orthogonal functions namely rationalgegenbauer and modified generalized laguerre functions which are defined as basis functionsin this approach and compare them together. we also present the comparison ofthese works with runge-kutta solution, moreover, in the graph of the ?res?2, we showthat the present solutions are accurate and applicable.
کلیدواژه Rational Gegenbauer ,Modified Generalized Laguerre ,Collocation Method ,Nonlinear Ode ,Indirect Multiquadric ,Porous Media
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