Browsing by Author "Chiyaneh, Akbar Barati"

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Computer Assisted Training on Mathematics Lesson for the 6th Grade Students on Azerbaijan Middle Schools
(Elsevier Science Bv, 2015) Bashirov, Novruz; Alekberova, Aynure; Kul, Ali Riza; Mustafayeva, Jale; Chiyaneh, Akbar Barati
In this study constituting a computer program was taken as basic for in Azerbaijan secondary schools 6th class students well understanding Math and personal development Computer program was prepared in HTML language. As Website, it was brought into a useful form for whole students in all school. Website contains whole subjects of 6th class Math book. The students login and choose the subject and learn. After than solve the problems about with subject. After the paragraphs containing some subjects 15 exam questions were put for the students check himself. After solving this problem, computer program evaluate student's knowledge 5 grades. This evoking big concern in the students was present to Ministry of Education for it was used in whole at schools in Azerbaijan. (C) 2015 The Authors. Published by Elsevier Ltd.
On Adaptive Mesh for the Initial Boundary Value Singularly Perturbed Delay Sobolev Problems
(Wiley, 2020) Chiyaneh, Akbar Barati; Duru, Hakki
A uniform finite difference method on a B-mesh is applied to solve the initial-boundary value problem for singularly perturbed delay Sobolev equations. To solve the foresold problem, finite difference scheme on a special nonuniform mesh, whose solution converges point-wise independently of the singular perturbation parameter is constructed and analyzed. The present paper also aims at discussing the stability and convergence analysis of the method. An error analysis shows that the method is of second order convergent in the discrete maximum norm independent of the perturbation parameter. A numerical example and the simulation results show the effectiveness of our theoretical results.
Uniform Difference Method for Singularly Pertubated Delay Sobolev Problems
(Natl inquiry Services Centre Pty Ltd, 2020) Chiyaneh, Akbar Barati; Durus, Hakki
In this paper, a numerical study is made of an initial-boundary value problem for a singularly perturbed delay Sobolev equations (SPDSEs). Here we propose an exponentially fitted method based on finite differences to solve an SPDSE. An exponentially-fitted difference scheme on a uniform mesh, which is accomplished by the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form, is presented. We calculate the fitting parameter for an exponentially fitted finite difference scheme corresponding to the problem and establish an error estimate which shows that the method has order of convergence 2 in space and time, independently of the perturbation parameter to the solution of the problem. The stability of the method is discussed. Numerical experiments are performed to support the theoretical results.