Population Balance Solution Using Fixed Point Convergence Acceleration for Steady-State Reactor Networks by Vasquez Cristian Camilo Ruiz, Lebaz Noureddine, Ramière Isabelle, Bertrand Murielle, Mangin Denis

“…As a case study, the numerical method is performed on the uranium oxalic precipitation. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials by S. H. Behiry

“…A numerical method for solving nonlinear Fredholm integrodifferential equations is proposed. …”
Get full text

Research of the Reachable Workspace of Symmetrical Planar 3-RRR Parallel Mechanism by Li Dahai, Song Shengtao, Li Ruiqin, Zhao Jianwen, Zhao Ruijie

“…Aiming at the typical example（ for the frame is the longest and all the rods connecting frame are cranks）,with the help of the numerical method to solve and the reachable workspace of 3- RRR parallel mechanism is mapped by using the Matlab,and compared with the result gained by motion simulation of virtual prototype software Solidworks.…”
Get full text

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. …”
Get full text

Research and Application of the Solving Method for Robotic Workspace by He Jiawei, Ping Xueliang, Li Zhaoyang, Jiang Yi

“…Based on Staubli TX60 L six axis serial robot,the workspace is respectively generated by using numerical method,the geometric mapping method and the proposed method,and comparison analysis is carried out,the results prove that this method need not to consider complex kinematics equation,and the accuracy high and computing speed fast.…”
Get full text

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.…”
Get full text

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. …”
Get full text

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.…”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text