Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models 2014 by Santanu Saha Ray, Rasajit K. Bera, Adem Kılıçman, Om P. Agrawal, Yasir Khan

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A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems by Yasser Mohamed Hamada

“…Comparisons with the analytical and numerical methods confirm the validity and accuracy of the method.…”
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A New Method-Discrete Numerical Method for Computing Radius of Curvature based on the Cam Profile Equation by Fan Wu, Chang Yong

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A High Accuracy Numerical Method Based on Interpolation Technique for Time-Fractional Advection-Diffusion Equations by Yan Chen, Xindong Zhang

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A Fast Numerical Method for the Calculation of the Equilibrium Isotopic Composition of a Transmutation System in an Advanced Fuel Cycle by F. Álvarez-Velarde, E. M. González-Romero

“…A fast numerical method for the calculation in a zero-dimensional approach of the equilibrium isotopic composition of an iteratively used transmutation system in an advanced fuel cycle, based on the Banach fixed point theorem, is described in this paper. …”
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A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet by Sachin Kumar, Jinde Cao, Xiaodi Li

“…The discretization of these initial and boundary conditions is done with a different approach by the quasi-wavelet-based numerical method. The validity of this proposed method is tested by taking some numerical examples having an exact analytical solution. …”
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A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution by Rajae Malek, Chérif Ziti

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Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres by Al-Hanaya Amal, El-Sapa Shreen

Subjects: “…numerical method…”
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The Semimartingale Approach to Almost Sure Stability Analysis of a Two-Stage Numerical Method for Stochastic Delay Differential Equation by Qian Guo, Xueyin Tao

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A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation by Xiao Liu, Yu Bo, Yuanfeng Jin

“…Aiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. …”
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Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels by Abeer M. Al-Bugami, Mohamed A. Abdou, Amr M. S. Mahdy

“…Then, using different numerical methods, the Bernoulli polynomial method and the Chebyshev polynomials of the sixth kind, the nonlinear Fredholm integral equation has been reduced into a system of nonlinear algebraic equations. …”
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Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method by Rouhollah Basirat

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Stability and Convergence of an Effective Numerical Method for the Time-Space Fractional Fokker-Planck Equation with a Nonlinear Source Term by Qianqian Yang, Fawang Liu, Ian Turner

“…However, effective numerical methods and analytic techniques for the FFPE are still in their embryonic state. …”
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On the Construction of a Two-Step Sixth-Order Scheme to Find the Drazin Generalized Inverse by Keyang Zhang, Fazlollah Soleymani, Stanford Shateyi

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Numerical Optimization of Microperforated panel Absorbers: The Impact of Series-Parallel Configuration, Air Gap, and Porous Materials on the Sound Absorption Bandwidth by Mohammad Javad SheikhMozafari, Zahra Hashemi, Ali Mohsenian

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A robust, exponentially fitted higher-order numerical method for a two-parameter singularly perturbed boundary value problem by Adisie Fenta Agmas, Fasika Wondimu Gelu, Meselech Chima Fino

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Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block-Pulse Functions for Solving a System of Fractional Differential Equations by Abdulqawi A. M. Rageh, Adel R. Hadhoud

“…The numerical results of the proposed methods are compared to those of the existing numerical methods. These approaches are distinguished by their ability to work on the wide interval 0,a, as well as their high accuracy and rapid convergence, demonstrating the utility of the proposed approaches over other numerical methods.…”
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Five Numerical Methods to Assess the Ischemic Risks in Dental Pulp and Neuro-Vascular Bundle Under Orthodontic Movements in Intact Periodontium In Vitro by Radu-Andrei Moga, Cristian Doru Olteanu, Ada Gabriela Delean

“…Nine patients (CBCT scan) were subjected to 3 N of intrusion, extrusion, rotation, tipping, and translation. Five numerical methods, Tresca, von Mises (VM), Maximum and Minimum Principal, and hydrostatic pressure were used to biomechanically assess (totaling 225 simulations) the color-coded stress distribution in pulp and NVB. …”
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An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms, part Ⅱ by Ram Shiromani, Carmelo Clavero

“…To see in practice the efficiency of the numerical method, we show the numerical results obtained with our algorithm for a test problem, when the cases analyzed in this work are fixed; from those results, the uniform convergence of the numerical algorithm follows, in agreement with the theoretical results.…”
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The Dual Characteristic-Galerkin Method by Hecht, Frédéric, Pironneau, Olivier

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