Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article An Investigation of Discontinuities in Time-Dependent 2D and 3D Parabolic Partial Differential Equations Utilizing Collocation Methods: A Comparative Analysis of Complex Interface Problems(Springer Heidelberg, 2025) Faheem, Muhammad; Asif, Muhammad; Amin, Rohul; Haider, Nadeem; Jarad, FahdParabolic double interface problems have many applications in the fields such as materials science, fluid dynamics, and heat transfer. This paper presents a comparison of the Haar wavelet-based collocation method and two variants of radial basis function (RBF) method for solving 2D and 3D, linear as well as nonlinear, parabolic double interface problems. The two variants of RBF methods are the multiquadric RBF method and the integrated RBF method. For linear problems, the system of equations obtained from the integrated RBF method is solved using Moore-Penrose pseudoinverse. Error analysis is performed using L infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_\infty $$\end{document} norm error and root mean square error, and the findings are discussed in detail. The methods are compared based on their accuracy and efficiency in solving different benchmark problems. The results show that both the Haar wavelet collocation method and the integrated RBF method perform better than the conventional RBF method in terms of accuracy.Article Citation - WoS: 3Citation - Scopus: 3Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras(MDPI, 2019) Hashem, Hind; El-Sayed, Ahmed; Baleanu, DumitruThis paper is concerned with proving the existence of solutions for a coupled system of quadratic integral equations of fractional order in Banach algebras. This result is a direct application of a fixed point theorem of Banach algebras. Some particular cases, examples and remarks are illustrated. Finally, the stability of solutions for that coupled system are studied.Article Citation - WoS: 3Citation - Scopus: 6Hydrogen Hosting of Nano Scale Boron Clusters(Editura Acad Romane, 2008) Özdoğan, Cem; Bäoyäukata, M.; ÄozdoGan, C.; Gäuvenc, Z.B.; Ortak Dersler BölümüIn this paper the Density Functional Results of hydrogen bonded boron micro clusters with B3LYP/6-311++G(d,p) level of computations will be presented. Energetics and structural stability with their possible stable geome- tries of various selected micro complexes of BmHn (for m and n<11) boron hydrides have been analysed, and their binding energies with HOMO-LUMO energy gaps have been determined. Mainly, e®ects of the number of hydrogen atoms on the structures of the boranes are assessed. Moreover, for the cage con̄gurations their distortions have been investigated for the neutral, anionic and cationic cases. It has been observed that there have been two opposing factors for the cage con̄gurations. One of which is the \peeling' of the cage structures by the hydrogen atoms, and the other one is reforming a smaller cage form simultaneously with the remaining boron atoms inside. This is observed mostly for the odd values of m. From our studies it has been also observed that with the bare boron clusters alone, it is di±cult to increase the capacity of the hydrogen storage. Therefore, further studies are necessary with the boron complexes.Article Citation - WoS: 3Citation - Scopus: 3Numerical Solution of Space-Time Variable Fractional Order Advection-Dispersion Equation Using Jacobi Spectral Collocation Method(Univ Putra Malaysia Press, 2020) Moghadam, Soltanpour A.; Baleanu, Dumitru; Arabameri, M.; Barfeie, M.; Baleanu, D.; Soltanpour Moghadam, A.; MatematikThis article is aimed at studying computational solution of variable order fractional advection-dispersion equation for one-dimensional and two-dimensional spaces utilizing spectral collocation method. In the considered model, the time derivative is Coimbra fractional derivative and space derivative is a Riemann-Liouville derivative. Jacobi polynomials are applied as basic functions in approximation of the solution. The presented approach is an application of the shifted Jacobi-Gauss collocation (SJ-G-C) and the shifted Jacobi-Gauss-Radau collocation (SJ-GR-C) methods using for discretizing along space and time, respectively. Using the related collocation points, the problem would be changed to an algebraic equation system, which can be tackled applying a computational technique. At the end, several examples in one and two dimensional cases have been solved by introduced approach, it would be shown that the proposed numerical algorithm has considerably higher accuracy in contrast to the existing computational schemes including finite difference approach.Article Citation - WoS: 2Citation - Scopus: 7A Necessary and Sufficient Condition for Oscillation of Second Order Sublinear Delay Dynamic Equations(Amer inst Mathematical Sciences-aims, 2011) Mert, RazIye; Mert, Raziye; Zafer, Agacik; MatematikTime scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation of a class of second order sublinear delay dynamic equations on time scales. Some well known results in the literature are improved and extended.Article Citation - Scopus: 5A Necessary and Sufficient Condition for the Existence of Periodic Solutions of Linear Impulsive Differential Equations With Distributed Delay(2007) Alzabut, J.O.; Alzabut, Jehad; MatematikA necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive differential equations with distributed delay.Editorial Introduction to the Special Issue on Mathematical Aspects of Computational Biology and Bioinformatics-I(Tech Science Press, 2023) Baleanu, Dumitru; Pinto, Carla M. A.; Kumar, SunilArticle Developing and Validating a Rubric-Based Approach to Quality Assurance in Turkish Higher Education(Pergamon-Elsevier Science Ltd, 2025) Akkoyunlu, Buket; Bardakci, Salih; Yildirim, Sibel Aksu; Avsaroglu, M. Dilek; Uludag, Gonca; Kocer, Ayhan; Elmas, MuzafferThis study, initiated by the Turkish Higher Education Quality Council (THEQC), develops and validates a rubricbased approach for evaluating institutional quality assurance (QA) processes within the Turkish higher education ecosystem. Effective quality assurance (QA) in higher education requires evaluation tools that are methodologically robust, responsive to institutional needs, and aligned with international benchmarks. A rubric-based approach offers a structured and transparent framework for consistent assessments. The rubric was created through an iterative, evidence-based process incorporating expert feedback, international benchmarks, site visits, and prior research. It consists of 22 main criteria across four key domains-Leadership, Governance and Quality; Learning and Teaching; Research and Development; and Service to Society-subdivided into 46 sub-criteria, each assessed on a five-point maturity scale. The validity and reliability of the rubric were rigorously examined. Content validity was established through evaluations by 10 QA professionals, addressing four key dimensions: relevance, alignment with the intended domain, appropriateness for the target audience, and clarity of language. Construct and criterion validity were assessed through consistency checks and usability analyses, with data collected from 252 external evaluators across 57 higher education institutions. Additionally, 360-degree feedback was gathered from both external evaluation teams and the institutions involved in the evaluation process. Results: demonstrate strong content validity (Lawshe coefficient =1.00, p < .05), high interrater consistency, and strong usability across various evaluator groups. Further evaluation confirmed the rubric's applicability and robustness across diverse institutional contexts. This study concludes that the developed rubric is a reliable and valid tool for enhancing and evaluating quality assurance practices in higher education.Article Supply Chain Network Design Focused on Financial Measures and Performance Metrics: a Systematic Literature Review(Springer, 2025) Abbasi, Sina; Sicakyuz, CigdemThrough an extensive literature review, this study determines which metrics and measures are relevant for supply chain (SC) performance. We reviewed several universal papers published between 2012 and 2023. A selection of review papers was made according to the methods, contribution, and scope for measuring SC performance metrics and measures. By reviewing the literature, this survey prepares benchmarks and approaches for determining SC performance from a financial viewpoint. As core financial measures of SC performance, we investigation looked at inventory turnover ratios, logistics costs, and cash flows expressed as return on investment (ROI), return on equity (ROE), return on asset (ROA), profit margins, assets/liabilities, and working capital. Additionally, the study determined that key non-financial measures of SC performance are customer satisfaction, delivery performance, quality services, improved relationships, and competitive advantages. According to the study, the appropriate approaches for assessing SC performance are financial and non-financial measures. Using the same approach, measures, and metrics at all SC nodes is essential to determine SC performance appropriately. Moreover, research is needed to identify the benefits and issues preventing SC measurements and performance across different industries.Article Citation - WoS: 5Citation - Scopus: 4Robust Numerical Techniques for Modeling Telegraph Equations in Multi-Scale and Heterogeneous Environments(Springer Heidelberg, 2025) Asif, Muhammad; Bilal, Faisal; Haider, Nadeem; Jarad, FahdThe article presents an innovative concept called the hyperbolic telegraph interface model, which effectively integrates regular interfaces. This hybrid method leverages Haar wavelets in conjunction with the finite difference method to provide robust numerical solutions. It is expertly designed for both linear and nonlinear models, adeptly handling constant or variable coefficients across regular interfaces. At the heart of this technique is the approximation of spatial derivatives using truncated Haar series, while time derivatives are efficiently processed through the finite difference method. The methodology has been rigorously tested across a variety of linear and nonlinear models, demonstrating its effectiveness. In linear problems, the algebraic system is solved with precision using the Gauss elimination method. For nonlinear challenges, the Quasi-Newton linearization formula is applied to successfully eliminate non-linearity from the model. To evaluate the technique's performance, we analyze key metrics such as maximum absolute errors, root mean square errors, and computational convergence rates with varying numbers of collocation points. The proposed approach consistently outperforms existing methods, particularly in situations involving abrupt changes in the solution space or discontinuities between boundary and initial conditions, delivering stable solutions in these critical scenarios. The combination of strong theoretical foundations and computational stability, along with excellent convergence rates and comprehensive numerical studies, firmly validates the accuracy and versatility of this method, confirming its wide range of applications.