http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2399 JAEM 2016, Vol 6, No 1 koleksiyonunu içerir. Thu, 09 Apr 2026 04:13:16 GMT 2026-04-09T04:13:16Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6056 On the third boundary value problem for parabolic equations in a non-regular domain of RN+1 Kheloufi, Arezki In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N?space dimensional linear parabolic equation, in order to obtain existence, uniqueness and maximal regularity of the solution in a Hilbertian anisotropic Sobolev space when the right hand side of the equation is in a Lebesgue space. This work is an extension of solvability results obtained for a second order parabolic equation, set in a non-regular domain of R 3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > 1. Fri, 01 Jan 2016 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6056 2016-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6038 Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation Bayındır, Cihan In this paper various analytical and numerical aspects of the dissipative nonlinear Schrodinger equation (d-NLS equation) are discussed. Decaying solitary wave type solutions derived by Demiray is reviewed and a new approximate solitary wave type solution of the d-NLS equation is introduced in order to make comparisons. Also a split-step Fourier scheme is proposed for numerical solution of the d-NLS equation and the analytical solutions are compared with the numerical results. Fri, 01 Jan 2016 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6038 2016-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2588 Soret-Dufour, radiation and hall effects on unsteady mhd flow of a viscous incompressible fluid past an inclined plate embedded in porous medium Pandya, Nidhi; Shukla, Ashish Kumar A study is presented with Soret-Dufour, Hall and radiation effects on unsteady MHD flow of a viscous incompressible fluid past an inclined porous plate immersed in porous medium. The governing equations of non-dimensional forms of flow field were solved numerically using Crank-Nicolson implicit finite difference method. The results are obtained for velocity, temperature and concentration. The effects of various parameters are discussed on flow variables and are presented through graphs and tables. Fri, 01 Jan 2016 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2588 2016-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2587 Solving a nonlinear inverse problem of identifying an unknown source term in a reaction-diffusion equation by adomian decomposition method Pourgholi, Reza; Saeedi, Akram We consider the inverse problem of finding the nonlinear source for nonlinear Reaction-Diffusion equation whenever the initial and boundary condition are given. We investigate the numerical solution of this problem by using Adomian Decomposition Method (ADM). The approach of the proposed method is to approximate unknown coefficients by a nonlinear function whose coefficients are determined from the solution of minimization problem based on the overspecified data. Further, the Tikhonov regularization method is applied to deal with noisy input data and obtain a stable approximate solution. This method is tested for two examples. The results obtained show that the method is efficient and accurate. This study showed also, the speed of the convergent of ADM. Tue, 05 Apr 2016 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2587 2016-04-05T00:00:00Z