Mathematical modeling of brain tumor cell growth for passive, active and oxygen transport mechanism with microgravity condition / Norfarizan Mohd Said by Mohd Said, Norfarizan

“…The models developed are in the form of parabolic equations which is discretized using the Finite Difference Method (FDM) with weighted average approximation. Numerical iterative methods, namely Jacobi (JAC), Red-Black Gauss-Seidel (RBGS), Red-Black Successive Over Relaxation (RBSOR) and Alternating Group Explicit (AGE) method are used to solve the discretized models……”
Get full text

Numerical solution of fractional partial differential equations by spectral methods by Kanwal, Afshan

“…The results have been compared with the existing methods such as Chebyshev wavelets method, Legendre wavelets method, Adomian decomposition method, Variational iteration method, Finite difference method and Finite element method. …”
Get full text
Get full text
Get full text

Optimal sensor placement using improved simulated annealing algorithm by Tong, Khoon Hong

“…A review of the literature indicates a shifting trend in the optimisation of the configuration of sensors, from direct ranking and simple iteration methods to combinatorial optimisation methods that employ heuristic algorithms. …”

Geometric nonlinear formulation of plate buckling structure by Abu Bakar, S., Algaifi, H. A. A., Abd. Samat, R.

“…This finding shows that the direct iteration method can be accepted for the analyzing of plate buckling by considering geometric nonlinear assumption.…”
Get full text

Non-Iterative, Unique, and Logical Formula-Based Technique to Determine Maximum Load Multiplier and Practical Load Multiplier for Both Transmission and Distribution Systems by Sharmistha Nandi, Sriparna Roy Ghatak, Parimal Acharjee, Fernando Lopes

“…The proposed work is tested on a 57-bus transmission system and 69-bus radial distribution system, and the obtained results from the developed formulae are verified by comparing with conventional iterative methods.…”
Get full text

Design and Implementation of an Enhanced Matched Filter for Sidelobe Reduction of Pulsed Linear Frequency Modulation Radar by Ahmed Azouz, Ashraf Abosekeen, Sameh Nassar, Mohamed Hanafy

“…In contrast to the current commonly used approaches, the mathematical model of the SRF frequency response is extracted without depending on any iteration methods or adaptive techniques, which results in increased efficiency and computational speed for the developed model. …”
Get full text

A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information by Tengfei Zhou, Xiaojun Cheng, Peng Lin, Zhenlun Wu, Ensheng Liu

“…Considering that the proposed method essentially is a nonlinear model, the Gauss–Newton iteration method is applied to derive the solutions of additional parameters and exterior orientation parameters. …”
Get full text

The Socioeconomic and Political Level of Development of Countries in View of Digitalization of Public Administration by Guryanova Lidiya S., Gavkalova Nataliia L., Lola Yuliya Yu., Prokopovych Svitlana V., Mykhailenko Daria H.

“…To test hypotheses, hierarchical agglomerative and iterative methods of cluster analysis, econometric models were used. …”
Get full text

Full-polarization SAR Joint Multidimensional Reconstruction Based on Sparse Reconstruction by Dou SUN, Dongwei LU, Shiqi XING, Xiao YANG, Yongzhen LI, Xuesong WANG

“…After the model is simplified by data interpolation, an efficient model-solving method is proposed by combining the three-dimensional fast Fourier transform, conjugate gradient method, and Newton iteration method, where the polarization scattering matrix and three-dimensional information of the target can be obtained at the same time. …”
Get full text

Antarctic Basal Water Storage Variation Inferred from Multi-Source Satellite Observation and Relevant Models by Jingyu Kang, Yang Lu, Yan Li, Zizhan Zhang, Hongling Shi

“…This paper proposes a layered gravity density forward/inversion iteration method to investigate Antarctic BWSV based on multi-source satellite observations and relevant models. …”
Get full text

A Single-Pixel High-Precision Imaging Technique Based on a Discrete Zernike Transform for High-Efficiency Image Reconstructions by Shiyu Zhang, Kai Lin, Hongsong Li, Lu Lu

“…Further simulation and physical experiments were compared with different reconstruction algorithms, including noniterative, linear iterative, and nonlinear iterative methods under speckle modulation patterns at a sample of 0.1 in terms of different targets. …”
Get full text

Noniterative Generalized Camera Model for Near-Central Camera System by Taehyeon Choi, Seongwook Yoon, Jaehyun Kim, Sanghoon Sull

“…The depth error is reduced by approximately 63% in the bumpy shield dataset, and the proposed approach is noted to be two digits faster than the iterative methods.…”
Get full text

Homotopy perturbation method-based soliton solutions of the time-fractional (2+1)-dimensional Wu–Zhang system describing long dispersive gravity water waves in the ocean by Mubashir Qayyum, Efaza Ahmad, Syed Tauseef Saeed, Hijaz Ahmad, Hijaz Ahmad, Hijaz Ahmad, Sameh Askar

“…For validity and convergence, obtained results are compared with the fractional differential transform method (FDTM), modified variational iteration method (mVIM), and modified Adomian decomposition method (mADM). …”
Get full text

Surface-Related Multiples Elimination for Waterborne GPR Data by Ruiqing Shen, Yonghui Zhao, Hui Cheng, Shufan Hu, Shifeng Chen, Shuangcheng Ge

“…SRME is a feedback iteration method based on wave equation, which is frequently utilized in marine seismic explorations but very rarely in GPR underwater engineering detection. …”
Get full text

A Closed-Form Solution to Linear Feature-Based Registration of LiDAR Point Clouds by Yongbo Wang, Nanshan Zheng, Zhengfu Bian, Hua Zhang

“…Considering that accurate extraction of point features is often difficult without the use of man-made reflectors, and the initial approximate values for the unknown transformation parameters must be estimated in advance to ensure the correct operation of those iterative methods, a closed-form solution to linear feature-based registration of point clouds is proposed in this study. …”
Get full text

Research on Void Dynamics during In Situ Consolidation of CF/High-Performance Thermoplastic Composite by Qinghua Song, Weiping Liu, Jiping Chen, Dacheng Zhao, Cheng Yi, Ruili Liu, Yi Geng, Yang Yang, Yizhu Zheng, Yuhui Yuan

“…The changes of the void content percentage were predicted by the cyclic iteration method. It was found that the void content percentage increased gradually along the direction of the layers’ thickness. …”
Get full text

Direct Analytical Modeling for Optimal, On-Design Performance of Ejector for Simulating Heat-Driven Systems by Fahid Riaz, Fu Zhi Yam, Muhammad Abdul Qyyum, Muhammad Wakil Shahzad, Muhammad Farooq, Poh Seng Lee, Moonyong Lee

“…This is a direct method of calculating the optimal ejector performance (entrainment ratio or ER) without the need for iterative methods, which have been conventionally used. …”
Get full text

Modeling and simulation of transient performance of uranium enrichment cascade in the event of a crash of gas centrifuge machines by A.R. Keshtkar, A. Rashidi, J. Karimi Sabet, A. Noroozi

“…Nonlinear equations of the model were also discriminated against using Crank Nicholson's finite difference method and the q iteration method was used to solve the equations. The results of the computer simulation of the model cascade for the enrichment of uranium 235 showed that if the crash of gas centrifuge machines occurs at the end of the enrichment part of the cascade, the product concentration will decrease more and more, and it takes a longer time to reach new steady-state condition. …”
Get full text

New impressive performances for the analytical solutions to the (1 + 1)-dimensional van der-waals gas system against its numerical solutions by Emad H.M. Zahran, Hijaz Ahmad, Sameh Askar, Dilber Uzun Ozsahin

“…The variational iteration method (VIM), whose initial condition will be obtained from these solutions, will also be used to construct the appropriate numerical solutions for all achieved exact solutions. …”
Get full text

A lateral pressure prediction model for bottom-up pumping of SCC in large-diameter steel tubes based on Bernoulli's Principle by Xiangtao Lu, Wenxue Zhang, Le Xu, Ying Chen

“…Within this model, an equilibrium equation considering viscous loss was formulated and subsequently solved by using the Newton iteration method. Moreover, a bias function was incorporated into the equation to ensure precise solutions. …”
Get full text