New Orientations in Applied and Computational Mathematics :: Special Issue

Lead Guest Editor

Snehanshu Saha

Department of Computer Science and Engineering, People's Education Society Institute of Technology, Bangalore South Campus, Bangalore, India

Guest Editors

Harendra Kumar

Department of Mathematics and Statistics, Gurukula Kangari University, Haridwar, India
E. Alvarz Verdejo

Department of Methods for Economics and Business, University of Granada, Granada, Spain
Zhaorui Li

Computational Physics and Methods Division (Ccs-2), Los Alamos National Laboratory, Los Alamos, United States
Sunil Kumar

Department of Mathematics, National Institute of Technology, Jamshedpur, India
Cristina Caridade

Department of Physics and Mathematics, Coimbra Institute of Engineering, Polytechnic Institute of Coimbra, Coimbra, Portugal
Lukasz Glinka

American Association of International Researchers under Natural Science Forum (Membership NS-AAIR-1011, 2014-present), American Research Institute for Policy Development, New York, United States
Fateme Ghomanjani

Internal and Preventive Medicine, College of Veterinary Medicine, Mosul University, Mosul, Iran
Petr Belov

Moscow State University after Bauman, Москва, Russian Federation
Hai Zhang

School of Mathematics and Computation Science, Anqing Normal University, Anqing, China
Onur Alp Ilhan

Mathematics Department, Erciyes University, Kayseri, Turkey
lugen zake

University of Mosul, Iraq
lugen zake

University of Mosul, Mosul, Iraq
Asif Ekbal

Department of Computer Science and Engineering, Indian Institute Of Technology Patna, Patna, India
Mahmoud Farag

Mathematics and Statistics Department, Minia University, Cairo, Egypt
Taha Abdel Wahid

Basic Sciences Department, ELGazeera High Institute for Engineering and Technology, Cairo, Egypt
Rahul Banerjee

Department Of Mathematics, St. Paul's Cathedral Mission College, Kolkata, India
Mohammed O. Al-Amr

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Mahboubeh Molavi-Arabshahi

Marine Science Department, Iranian National Institute for Oceanography & Atmospheric science (INIOAS), Tehran, Iran

Abstract: The Finite Volume Method (FVM) is currently the most popular method in CFD. The main reason is that it can resolve some of the difficulties that the other methods have. Finite volume methods are a class of discretization schemes that have proven highly successful in approximating the solution of a wide variety of conservation law systems [1]. Finite volume method can be classified into three groups: (1) Cell-centered scheme, (2) Cell-vertex scheme with overlapping control volumes and (3), Cell-vertex scheme with dual control volumes [2]. The present work used Finite volume based Cell Cell-centered. This approach used the grid cell identical to its control volume. While in view of a manner the grid cells in this work can be defined numerically, it can follow as a structured grid based on Elliptic grid generation PDEs [3]. Computer code had been developed by using a cell centered Finite volume scheme combined with structured grid approach. The computer codes applied for the case of compressible flow past through an airfoil NACA 0012, in which the flow problem can be treated as purely inviscid flow or as the flow with viscous effect but considered to be as a laminar flow. The comparison result presented in term of pressure coefficient Cp for different angle of attack using available experimental result and the result provided by Fluent software. In term for the case of flow problem treated as an inviscid flow, both the developed computer code and Fluent software produce the result closed to the experimental result. However if the developed computer code as well as fluent software treated the flow problem to include the viscous effect by considering them as a laminar flow both are slightly deviate with the experimental results. Strictly speaking the present developed computer code give a similar result as the experimental result, which both showing that this type of airfoil having a sensitive effect to the angle of attack. A small change of angle of attack will produce a significant change to the location of shock will occurred. Abstract: The Finite Volume Method (FVM) is currently the most popular method in CFD. The main reason is that it can resolve some of the difficulties that the other methods have. Finite volume methods are a class of discretization schemes that have proven highly successful in approximating the solution of a wide variety of conservation law systems [1]. Finit... Show More

Abstract: In this manuscript the implicit Runge-Kutta (IRK) method, with three slopes of order five has been explained, and is applied to Van der pol stiff differential equation. Truncation error, of order five, has been estimated. Stability of the procedure for the Van der pol equation, is analyzed by the Lyapunov method. To illustrate the structure of the... Show More

Abstract: In this paper substantiated for a Manjeron generalized equation with non-smooth coefficients a three dimensional Goursat problem -3D Goursat problem with non-classical boundary conditions is considered, which requires no matching conditions. Equivalence of these conditions three dimensional boundary condition is substantiated classical, in the case... Show More