High-Order Compact Difference Scheme for the Numerical Solution of Time Fractional Heat Equations by Ibrahim Karatay, Serife R. Bayramoglu

“…Finally a detailed numerical analysis, including tables, figures, and error comparison, is given to demonstrate the theoretical results and high accuracy of the proposed scheme.…”
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Pricing Warrant Bonds with Credit Risk under a Jump Diffusion Process by Xiaonan Su, Wei Wang, Wensheng Wang

“…By the risk neutral pricing theorem, we obtain an explicit pricing formula of the warrant bond. Furthermore, numerical analysis is provided to illustrate the sensitivities of the proposed pricing model.…”
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Modeling and Analysis of New Products Diffusion on Heterogeneous Networks by Shuping Li, Zhen Jin

“…For networks with the power-law degree distribution, numerical simulations confirm analytical results, and also at the same time, by numerical analysis of the influence of the network structure and persuasive advertisements on the density of adopters, we give two different products propagation strategies for two classes of nodes in scale-free networks.…”
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New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting f′(xn)=0 by Ramandeep Behl, V. Kanwar

“…Construction of higher-order optimal and globally convergent methods for computing simple roots of nonlinear equations is an earliest and challenging problem in numerical analysis. Therefore, the aim of this paper is to present optimal and globally convergent families of King's method and Ostrowski's method having biquadratic and eight-order convergence, respectively, permitting f′(x)=0 in the vicinity of the required root. …”
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L∞-error estimate for a system of elliptic quasivariational inequalities by M. Boulbrachene, M. Haiour, S. Saadi

“…We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). …”
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The local limit theorem for complex valued sequences: the parabolic case by Coulombel, Jean-François, Faye, Grégory

“…The result applies in probability theory for random walks as well as in numerical analysis for studying the large time behavior of numerical schemes.…”
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Dynamic system evolution and markov chain approximation by Roderick V. Nicholas Melnik

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A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials by Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar

“…Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. …”
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Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations by Hassan Eltayeb, Diaa Eldin Elgezouli, Adem Kilicman, Imed Bachar

“…Analysis of the method is discussed, and some demonstrative examples are mentioned to confirm the power and accuracy of the recommended method, and numerical analysis is applied to sketch the exact and approximate solution.…”
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Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation by Tamás Mona, István Lagzi, Ágnes Havasi

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Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation by Aline Souza de Paula, José Manoel Balthazar, Jorge Luis Palacios Felix

“…The main goal of this study is to investigate the dynamic interactions between a flexible portal frame and a nonlinear electrical support excitation. The numerical analysis shows a complex behavior of the system, which can be observed by phase spaces, Poincaré sections and bifurcation diagrams.…”
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Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited by Caijuan Yan, Jianwen Jia, Zhen Jin

“…We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem. A numerical analysis is given to show the effectiveness of the main results.…”
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Buckling Analysis of Laminated Composite Panel with Elliptical Cutout Subject to Axial Compression by Hamidreza Allahbakhsh, Ali Dadrasi

“…A buckling analysis has been carried out to investigate the response of laminated composite cylindrical panel with an elliptical cutout subject to axial loading. The numerical analysis was performed using the Abaqus finite-element software. …”
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Zee model in a modular $$A_4$$ A 4 symmetry by Takaaki Nomura, Hiroshi Okada, Yong-hui Qi

“…We show our predictions on phases and neutrino masses through numerical analysis. We find a model that can fit in both normal and inverted hierarchy cases of neutrino mass. …”
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Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control by Bo Yan, Shaobo He, Shaojie Wang

“…Moreover, the system is controlled by introducing the adaptive controller which is proved by the Lyapunov stability theory. Numerical analysis results verify the effectiveness of the proposed method.…”
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Bearing Capacity Studies on Square Steel Tube Confined Steel Reinforced Concrete Column under Eccentric Load by Tongfeng Zhao

“…Furthermore, a numerical analysis program was developed, and the calculated results are well consistent with the experimental results. …”
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Inexact Exponential Penalty Function with the Augmented Lagrangian for Multiobjective Optimization Algorithms by Appolinaire Tougma, Kounhinir Some

“…In addition, we compared our method with the NSGA-II and augmented the Lagrangian cone method on some test problems from the literature. A numerical analysis of the obtained solutions indicates that our method is competitive with regard to the test problems used for the comparison.…”
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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique by Youssef Esmaiel, Magdi El-Azab, Galal El-Baghdady

“…By employing these polynomials, the singular Volterra integral equation is transformed into a set of algebraic equations that need to be solved. Subsequently, numerical analysis is introduced, followed by some examples and a comparison of them with existing methods to demonstrate the soundness and practicality of our method.…”
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Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation by Kubra Sanaullah, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Rabia Fayyaz

“…Convergence analyses of the suggested algorithm are demonstrated. Moreover, numerical analysis shows that we establish the new best method for solving general variational inequality which performs better than the previous one. …”
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Analysis of a Low-Angle Annular Expander Nozzle by Kyll Schomberg, John Olsen, Graham Doig

“…An experimental and numerical analysis of a low-angle annular expander nozzle is presented to observe the variance in shock structure within the flow field. …”
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