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| 1 | Artificial neural network optimized by differential evolution for predicting diameters of jet grouted columns显示文摘A novel and effective artificial neural network(ANN) optimized using differential evolution(DE) is first introduced to provide a robust and reliable forecasting of jet grouted column diameters.The proposed computational method adopts the DE algorithm to tackle the difficulties in the training and performance of neural networks and optimize the four quintessential hyper-parameters(i.e.the epoch size,the number of neurons in a hidden layer,the number of hidden layers,and the regularization parameter) that govern the neural network efficacy.This approach is further enhanced by a stochastic gradient optimization algorithm to allow ’expensive’ computation efforts.The ANN-DE is first trained using a prepared jet grouting dataset,then verified and compared with the prevalent machine learning tools,i.e.neural networks and support vector machine(SVM).The results show that,the ANN-DE outperforms the existing methods for predicting the diameter of jet grouting columns since it well balances training efficiency and model performance.Specifically,the ANN-DE achieved root mean square error(RMSE)values of 0.90603 and 0.92813 for the training and testing phases,respectively.The corresponding values were 0.8905 and 0.9006 for the optimized ANN,then,0.87569 and 0.89968 for the optimized SVM,respectively.The proposed paradigm is bound to be useful for solving various geotechnical engineering problems regardless of multi-dimension and nonlinearity. | Pierre Guy Atangana Njock Shui-Long Shen Annan Zhou Giuseppe Modoni | 2021 | Journal of Rock Mechanics and Geotechnical Engineering2021，13，6： | 3 |
| 2 | 基于SPH无网格法的纺锤形桩靴连续贯入过程模拟显示文摘纺锤形桩靴在饱和土中贯入过程涉及土体极大变形和复杂的土、水、结构三者耦合作用,由于网格畸变问题,采用传统网格类数值方法很难进行模拟。SPH无网格法借助于一系列粒子进行插值,粒子与粒子之间无联系,将偏微分形式的控制方程转化为常微分方程组进行求解,可有效避免网格畸变问题。基于土-水-结构耦合SPH无网格算法,对桩靴在中密、密实砂土及饱和黏土中的连续贯入过程进行模拟,研究土体存在极大变形条件下桩靴贯入阻力、超孔隙水压力及总应力等物理量在贯入过程中的变化规律,并与CEL大变形有限元分析结果及室内离心机测值进行对比和分析。研究结果表明:采用土-水-结构耦合SPH算法可以准确地捕捉土、水混合物发生大变形时的自由面特征、贯入阻力、孔隙水压力及超孔隙水压力等物理量。 | 孟翔 高路恒 吴浩 Atangana Njock Pierre Guy | 2020 | 水利水运工程学报2020，，4： | 2 |
| 3 | A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment显示文摘Cancer belongs to the class of discascs which is symbolized by out of control cells growth.These cells affect DNAs and damage them.There exist many treatments avail-able in medical science as radiation therapy,targeted therapy,surgery,palliative care and chemotherapy.Cherotherapy is one of the most popular treatments which depends on the type,location and grade of cancer.In this paper,we are working on modeling and prediction of the effect of chemotherapy on cancer cells using a fractional differen-tial equation by using the differential operator in Caputos sense.The presented model depicts the interaction between tumor,norrnal and immune cells in a tumor by using a system of four coupled fractional partial differential equations(PDEs).For this system,initial conditions of tumor cells and dimensions are taken in such a way that tumor is spread out enough in size and can be detected easily with the clinical machines.An operational matrix method with Genocchi polynomials is applied to study this system of fractional PDFs(FPDEs).An operational matrix for fract.ional differentiation is derived.Applying the collocation method and using this matrix,the nonlinear system is reduced to a system of algebraic equations,which can be solved using Newton iteration method.The salient features of this paper are the pictorial presentations of the numerical solution of the concerned equation for different particular cases to show the effect of fractional exponent on diffusive nature of immune cells,tumor cells,normal cells and chemother-apeutic drug and depict the interaction among immune cells,normal cells and tumor cells in a tumor site. | Sachin Kumar Abdon Atangana | 2020 | International Journal of Biomathematics2020，13，3： | 1 |
| 4 | Controllable one-pot synthesis of various one-dimensional Bi2S3 nanostructures and their enhanced visible-light- driven photocatalytic reduction of Cr(VI) 显示文摘 | Hu Enlai Gao Xuehui Etogo Atangana | 2014 | Journal of Alloys and Compounds2014，611，： | 1 |
| 5 | Results of surgical management of spinal neurinomas and neurofibromas at Yaounde显示文摘 | Eyenga VC Eloundou Ngah J Atangana R | | 0，，7： | 1 |
| 6 | Current clinical features of acute appendicitis in adult in Yaounde,Cameroon显示文摘 | Ngowe Ngowe M Bissou Mahop J Atangana R | 2008 | Bull Soc Pathol Exot2008，101，5： | 1 |
| 7 | Domesti- cation of AUanblackia floribunda: Amenability to vegeta- tive propagation 显示文摘 | Atangana AR Tchoundjeu Z Asaah EK | 2006 | Forest Ecology and Management2006，237，123： | 1 |
| 8 | Dispersion-managed solitons in the cubic complex Ginzburg - Landau equation as perturbations of nonlinear Schrodinger equation显示文摘 | Fewo S I Atangana J | 2005 | Optics Communications2005，252，： | 1 |
| 9 | Quantitative descriptors of variation in the fruits and seeds of Irvingia gabonensis显示文摘 | Leakey RRB Fondoun JM Atangana A Tchoundjeu Z | | 0，，： | 1 |
| 10 | Domestication of Allanblackia floribunda : amenability to vegetative propagation 显示文摘 | Atangana A R Tchoundjeu Z Asaah E K | 2006 | Forest Ecology and Management2006，237，123： | 1 |
| 11 | Current clinical features of acute appendicitis in adult in Yaounde,Cameroon显示文摘 | Ngowe Ngowe M Bissou Mahop J Atangana R | 2008 | Bull Soc Pathol Exot2008，101，5： | 1 |
| 12 | Dispersion-managed Solitons in the Cubic Complex Ginzburg Landau Equation as Perturbations of Nonlinear Schr Dinger Equation 显示文摘 | FEWO S I ATANGANA J KENFACK-JIOTSA A | 2005 | Opt Commun2005，252，3： | 1 |
| 13 | Domestication of Allanblackia floribunda : Ame- nability to vegetative propagation 显示文摘 | ATANGANA A R TCHOUNDJEU Z ASAAH E K | 2006 | Forest ecology and management2006，237，1： | 1 |
| 14 | A note on fractional orderderivatives and table of fractional derivatives of some special functions显示文摘 | ATANGANA A SECER A | 2013 | Abstract and Applied Analysis2013，2013，27： | 1 |
| 15 | Risks analysis of large diameter slurry shield tunneling in urban area显示文摘The construction of super-large tunnels generates various safety risks that can hamper the tunneling process and cause severe damages if not properly identified.This paper presents a case study on the identification and management of geological and environmental risks during the construction of the largest(a diameter of 15.8 m)slurry shield tunnel in China.Its ground conditions and settlement control were identified among the most challenging owing to a large area of mixed ground conditions,11 fault zones and tunneling under residential areas and the city’s Metro Lines 1 and 9.In response to the severity of these risks and challenges,novel monitoring systems,ground treatment,and safety management technologies were successfully implemented throughout the tunneling process.Further,a technical framework was proposed in this study to serve as a risk management guidance for analogous tunneling operations. | Yi Zeng Pierre Guy Atangana Njock Wang Xiong Xiao-Long Zhang Shui-Long Shen | 2023 | Underground Space2023，，6： | 0 |
| 16 | Modeling the Spread of Tuberculosis with Piecewise Differential Operators显示文摘Very recently,a new concept was introduced to capture crossover behaviors that exhibit changes in patterns.The aimwas tomodel real-world problems exhibiting crossover from one process to another,for example,randomness to a power law.The concept was called piecewise calculus,as differential and integral operators are defined piece wisely.These behaviors have been observed in the spread of several infectious diseases,for example,tuberculosis.Therefore,in this paper,we aim at modeling the spread of tuberculosis using the concept of piecewise modeling.Several cases are considered,conditions under which the unique system solution is obtained are presented in detail.Numerical simulations are performed with different values of fractional orders and density of randomness. | Abdon Atangana Ilknur Koca | 2022 | Computer Modeling in Engineering & Sciences2022，，5： | 0 |
| 17 | Conservatory of Kaup-Kupershmidt Equation to the Concept of Fractional Derivative with and without Singular Kernel显示文摘 | Abdon ATANGANA Emile Franc Doungmo GOUFO | 2018 | Acta Mathematicae Applicatae Sinica2018，34，2： | 0 |
| 18 | Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System显示文摘In this work,we examine the mathematical analysis and numerical simulation of pattern formation in a subdiffusive multicomponents fractional-reactiondiffusion system that models the spatial interrelationship between two preys and predator species.The major result is centered on the analysis of the system for linear stability.Analysis of the main model reflects that the dynamical system is locally and globally asymptotically stable.We propose some useful theorems based on the existence and permanence of the species to validate our theoretical findings.Reliable and efficient methods in space and time are formulated to handle any space fractional reaction-diffusion system.We numerically present the complexity of the dynamics that are theoretically discussed.The simulation results in one,two and three dimensions show some amazing scenarios. | Kolade M.Owolabi Abdon Atangana | 2017 | Advances in Applied Mathematics and Mechanics2017，9，6： | 0 |
| 19 | Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives显示文摘In this paper, we investigate a possible applicability of the newly established fractional differentiation in the field of epidemiology. To do this, we extend the model describing the Lassa hemorrhagic fever by changing the derivative with the time fractional derivative for the inclusion of memory. Detailed analysis of existence and uniqueness of exact solution is presented using the Banach fixed point theorem. Finally, some numerical simulations are shown to underpin the effectiveness of the used derivative. | Sonal Jain Abdon Atangana | 2018 | International Journal of Biomathematics2018，11，8： | 0 |
| 20 | New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation显示文摘This study investigates the (3+1)-dimensional soliton equation via the Hirota bilinear approach and symbolic computations. We successfully construct some new lump, lump-kink, breather wave, lump periodic, and some other new interaction solutions. All the reported solutions are verified by inserting them into the original equation with the help of the Wolfram Mathematica package. The solution’s visual characteristics are graphically represented in order to shed more light on the results obtained. The findings obtained are useful in understanding the basic nonlinear fluid dynamic scenarios as well as the dynamics of computational physics and engineering sciences in the related nonlinear higher dimensional wave fields. | Tukur Abdulkadir Sulaiman Abdullahi Yusuf Abdon Atangana | 2020 | Communications in Theoretical Physics2020，72，8： | 0 |
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