Numerical Simulation of Ice Crystal Supercooled Droplet Mixed Phase Icing Based on the Improved Messinger Model by Zhengzhi Wang, Wei Zhong, Chunfu Liu, Huanyu Zhao, Senyun Liu

“…Ice shapes are calculated under various ice crystal supercooled droplet mixed phase conditions and compared with experimental results to demonstrate the validity of the numerical method. The effects of ice crystal erosion rate, melting ratio, and adhesion coefficient on the calculation results are analyzed by a numerical method. …”
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Micropolar Couple Stress Nanofluid Flow by Non-Fourier’s-Law Heat Flux Model past a Stretching Sheet by Gosa Gadisa, Tagay Takele, Shibiru Jabessa

“…In this investigation, thermal radiation effect on MHD nonlinear convective micropolar couple stress nanofluid flow by non-Fourier’s-law heat flux model past a stretching sheet with the effects of diffusion-thermo, thermal-diffusion, and first-order chemical reaction rate is reported. The robust numerical method called the Galerkin finite element method is applied to solve the proposed fluid model. …”
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The Cornerstone of Sustainability: Ecological Footprint by Ece Tuğba Mızık, Zehra Yiğit Avdan

“…The term of ecological footprint is a numerical method used for sustainable usage of resources. …”
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On the numerical treatment of the contact problem by Abdallah A. Badr

“…The problem of the contact of two elastic bodies of arbitrary shape with a kernel in the form of a logarithmic function—which is investigated from Hertz problem—is reduced to an integral equation. A numerical method is adapted to determine the pressure between the two surfaces under certain conditions.…”
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Investigation of Speed Matching Affecting Contrarotating Fan’s Performance Using Wireless Sensor Network including Big Data and Numerical Simulation by Hengxuan Luan, Liyuan Weng, Ranhui Liu, Yuanzhong Luan, Dongmin Li

“…The investigation method is based on three-dimensional RANS simulations; the RANS equations are solved by the numerical method in conjunction with a SST turbulence model. …”
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A numerical approach for solving Volterra delay integro-differential equation by Ilhame Amirali, Muhammet Enes Durmaz, Gabil M. Amiraliyev

“…In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. …”
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Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation by Yuxin Zhang

“…A numerical method for the modified time fractional Fokker-Planck equation is proposed. …”
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Numerical Analysis of Conductor Galloping Limitation by Oscillation Frequency Detuning by I. I. Serguey, P. I. Klimkovich, A. A. Vinogradov

“…A numerical method has been developed for calculation of conductor oscillations at the moment of galloping that takes account of pendulum  oscillation dampers in the form of eccentric loads. …”
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Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation by Mohamed M. S. Nasser

“…This equation arises in computing the conformal mapping between simply connected regions. We present a numerical method for solving the integral equation and prove the uniform convergence of the numerical solution to the exact solution. …”
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Research on the Formation Characteristics of Fog and Frost on Optical Windows of Unsealed Equipment Compartments in Aircrafts by Chun Shen, Yuanyuan Liang, Bo Wei, Chengchun Zhang, Tian Zhao

“…In this study, a numerical method for the formation and dissipation of fog and frost is established using the Eulerian multiphase flow liquid film model. …”
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An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation by Maobo Zheng, Jun Zhou

“…Numerical experiments verify that the theoretical results are right and the numerical method is efficient and reliable.…”
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Parameter estimation in a structured erythropoiesis model by Azmy S. Ackleh, Jeremy J. Thibodeaux

“…We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. …”
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Spatial Dynamics for a Generalized Solow Growth Model by Yue Zhong, Wenyi Huang

“…The explicit solutions of the growth model, which is expressed by a differential equation with corresponding boundary conditions, are employed to illustrate the spatial dynamics of the model in different economic regions. Numerical method is used to justify the validity of the theoretical analysis.…”
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On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions by I. Najafi Khalilsaraye, K. Maleknejad

“…Finally, by some numerical examples, we show the efficiency and accuracy of this numerical method.…”
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An Unconditionally Stable, Positivity-Preserving Splitting Scheme for Nonlinear Black-Scholes Equation with Transaction Costs by Jianqiang Guo, Wansheng Wang

“…An unconditionally stable and monotone splitting method, ensuring positive numerical solution and avoiding unstable oscillations, is proposed. This numerical method is based on the LOD-Backward Euler method which allows us to solve the discrete equation explicitly. …”
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Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems by Umer Saeed, Mujeeb ur Rehman

“…A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. …”
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Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem by Jing Niu, Ping Li

“…A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition. …”
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Reproducing Kernel Method for Fractional Riccati Differential Equations by X. Y. Li, B. Y. Wu, R. T. Wang

“…This paper is devoted to a new numerical method for fractional Riccati differential equations. …”
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Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability by Xueqin Lv, Yue Gao

“…We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. …”
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Analysis of Numerical Measure and Numerical Integration Based on Measure by Yinkun Wang, Jianshu Luo, Xiangling Chen

“…We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. …”
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