On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current by Dali Guo, Bo Tao, Xiaohui Zeng

“…The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. …”
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Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems by Gianni Arioli

“…We present a new numerical method for the computation of the forcing term of minimal norm such that a two-point boundary value problem admits a solution. …”
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On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method by Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman

“…A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points. …”
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Behavior of Uniform Anisotropic Beams of Rectangular Section under Transverse Impact of a Mass by Lu Chun, K. Y. Lam

“…A numerical method is presented to investigate the dynamic response of uniform orthotropic beams subjected to an impact of a mass. …”
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Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel by M. Esmaeilpour, Naeem Roshan, Negar Roshan, D. D. Ganji

“…The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.…”
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Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method by Jun-Mei Li, Yu-Lan Wang, Wei Zhang

“…Although some numerical methods of the Lorenz system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. …”
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Numerical Algorithm for Delta of Asian Option by Boxiang Zhang, Yang Yu, Weiguo Wang

“…We implement our proposed numerical method and compare the standard error with other classical variance reduction methods. …”
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RESEARCH ON HIGH PRECISION G-LOAD SIMULATION ALGORITHM OF DYNAMIC FLIGHT SIMULATOR by LUO Peng, HU RongHua, BAI JunLin, SHU Yang

“…The G-load simulation principle and kinematic relationship of three-axis manned centrifuge are analyzed. The numerical method is used to solve the G-load simulation loading section, and the accurate calculation of the main arm speed of the overload simulation loading section is realized by simulation. …”
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SIMPLIFIED METHOD FOR CALCULATING CLOSING IN OF SWITCH-GEAR FLEXIBLE BUSES AT SHORT CIRCUIT BY IMPULSE OF ELECTRODYNAMIC FORCES by I. I. Sergey, E. G. Ponomarenko, W. M. Sammur, P. I. Klimkovich

“…These factors have been obtained with the help of a computer program that realized numerical method for calculating closing-in of wires by flexible thread levels.Diagrams are constructed with the purpose to find ymax and criteria of electro-dynamic resistance of flexible buses (permissible impulse of electro-dynamic forces and current of electro-dynamic resistance) is determined.…”
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Piecewise Approximate Analytical Solutions of High-Order Singular Perturbation Problems with a Discontinuous Source Term by Essam R. El-Zahar

“…The results show that the method is a reliable and convenient asymptotic semianalytical numerical method for treating high-order singular perturbation problems with a discontinuous source term.…”
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A New Method for Design of Microstrip Line Interdigital Filter by Feng Zhenghe Yu Xiaoguang

“…The paper proposed a numerical method for calculating the characteristic of microwave filter where transmission properties of coupled multi conductor are used directly Not only coupling between adjacent conductor but also non adjacent ones are considered The nonsymmetric coupling structure can be dealt with also So the accuracy of results becomes higher There are many intrinsic modes with different propagation constant in a multiconductor structure filled by many dielectric materials This is quite different from the multiconductor with homogeneous media filled We must consider not only intrinsic impedance but also different propagation constants The intrinsic values and Vectors of Multiconducter transmission line can be got by matrix telegraphist’s equation The characteristic of filter can be expressed by equivalent network after optimized The paper presented some examples including a filter with non-equal width cavities structure to show the validity of this method…”
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Enriched P1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions by Gwanghyun Jo, Do Y. Kwak

“…We develop a numerical method for elliptic interface problems with implicit jumps. …”
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DYNAMICS CHARACTERISTICS AND EXPERIMENTAL ANALYSIS ON THE OBLIQUE CUTTING OF PLOW SYSTEM by ZHANG Yu, CHEN HongYue, HAO ZhiYong, MAO Jun

“…Dynamic differential equation of plow system were established by using the finite element method,and were solved by using numerical method. The effect of oblique cutting velocity、cutting depth、cutting location、middle trough angle offset on dynamic charateristics of plow system. …”
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A Novel Hybrid Analytic-Numerical Algorithm for Scattering from a 3-D Coated Target above a PEC Rough Surface by Hong-Jie He, Ya Zhang

“…The accuracy of our numerical code is validated by the numerical method. Some numerical results are provided to study the electromagnetic scattering characteristics from a coated sphere above a Gaussian rough surface.…”
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems by Ozgur Yildirim

“…A very efficient numerical method that combines the finite difference method and the fixed point theory is used to perform numerical experiments to verify theoretical statements.…”
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Solution of the Falkner–Skan Equation Using the Chebyshev Series in Matrix Form by Abdelrady Okasha Elnady, M. Fayek Abd Rabbo, Hani M. Negm

“…A numerical method for the solution of the Falkner–Skan equation, which is a nonlinear differential equation, is presented. …”
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Qualitatively Stable Nonstandard Finite Difference Scheme for Numerical Solution of the Nonlinear Black–Scholes Equation by Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Zahra Mohammadnia, Hamid Mohammad Sedighi

“…In this paper, we use a numerical method for solving the nonlinear Black–Scholes partial differential equation of the European option under transaction costs, which is based on the nonstandard discretization of the spatial derivatives. …”
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Analysis of the Dynamic Load Sharing Characteristic of Two-stage Planetary Transmission by Li Siqian, Wu Shijing, Wang Xiaosun

“…To study the dynamic load sharing characteristics of two- stage planetary gear train,a translation- torsion coupling dynamics model is established by taking the nonlinear factors like time- varying mesh stiffness,position error,eccentric error,gear backlash and coupling stiffness into account,and the dimensionless dynamics differential equations for the system are derived and solved by numerical method. The effects of floating components,planetary gear error and coupling stiffness on the load sharing characteristics are analyzed.The research work has guiding significance for the design of multi- stage planetary gear train,and the reference basis for the research of dynamics analysis and dynamic load sharing characteristic of two- stage planetary gear is provided.…”
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Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations by S. Bivani, M. Ghasemi, A. Goligerdian

“…Abstract A numerical method based on fractional B-spline is developed and examined to approximate the solution of fractional multiterm pantograph equations. …”
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Galerkin Spectral Method of Stochastic Partial Differential Equations Driven by Multivariate Poisson Measure by Hongling Xie

“…A considerable body of prior research has been dedicated to devising efficient and high-order numerical methods for solving stochastic partial differential equations (SPDEs) driven by discrete or continuous random variables. …”
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