Volume 15

FAZEL HADADIFARD, SATBIR MALHI, AND ZHENGYI XIAO Abstract. In this paper, a class of finite difference numerical techniques is presented to solve the second-order linear inhomogeneous damped wave equation. The consistency, stability, and convergences of these numerical schemes are discussed. The results obtained are compared to the exact solution, ordinary explicit, implicit finite difference methods, […]

Andrii Chugaia, Svitlana Alyokhina a,b, and Andrii Zhuravkab a Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 2/10 Pozharskogo st., Kharkiv 61046, Ukraine, e-mail: alyokhina@ipmach.kharkov.ua b Kharkiv National University of Radioelectronics, 14 Nauky ave., Kharkiv 61166, Ukraine Abstract The paper is concerned to the development of an approach which allow

S.A. Khuri1, I. Louhichi, A. Sayfy Department of Mathematics and Statistics, American University of Sharjah – UAE Received 14 January, 2019; accepted in revised form 26 January, 2021 Abstract: In this article, we study a fixed point iteration scheme that involves the Green’s function for the numerical solution of a larger class of fourth order

?.V. Tsvetova, V.N. Kovalnogov, R.V. Fedorov Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia � European Society of Computational Methods in Sciences and Engineering Keywords: numerical simulation, gas-dynamic temperature stratification, dispersion flow, heat transfer coefficient, developed surfaces Mathematics Subject Classification: 65R20 Numerical methods for integral equations

Beny Neta * Naval Postgraduate School Department of Applied Mathematics Monterey, CA 93943 e-mail: bneta@nps.edu, Tel: 1-831-656-2235, Fax: 1-831-656-2355 Received 01/02/2020, Revised 10/12/2020, Accepted 02/03/2021 Abstract: A new trigonometrically-fitted method of order 12 is developed and compared to an existing P-stable method of the same order. Our method fit exactly the sine and cosines functions

Yu.E. Chamchiyan, V.N. Kovalnogov, R.V. Fedorov Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia Received: 03/09/2020, Revised: 15/10/2020, Accepted: 08/12/2020 Abstract: The heat engineering characteristics of external enclosing structures and their influence on the microclimate of the building are analyzed. Potential spheres in the field of

R.V. Fedorov, A.V. Chukalin, V.N. Kovalnogov, U.J. Mizher, M.M. Zamaleev Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia Received: 01/09/2020, Revised: 15/10/2020, Accepted: 07/12/2020 Abstract: The search for new solutions in the field of energy, preventing negative impact on the environment, is one of the priority