An Unconditionally Stable, Positivity-Preserving Splitting Scheme for Nonlinear Black-Scholes Equation with Transaction Costs by Jianqiang Guo, Wansheng Wang

“…This paper deals with the numerical analysis of nonlinear Black-Scholes equation with transaction costs. …”
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An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations by F. A. Hendi, M. M. Al-Qarni

“…We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE). …”
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A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions by Bo Ren, Ji Lin, Zhi-Mei Lou

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Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices by Genghong Lin, Zhan Zhou

“…By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. …”
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Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station by O. A. Rosas-Jaimes, G. A. Munoz-Hernandez, G. Mino-Aguilar, J. Castaneda-Camacho, C. A. Gracios-Marin

“…In order to assess the behavior of this controlled system, a model of such nonlinear plant is regulated through a classical PID by classical linearization of its set points, and then a pseudo-derivative part is substituted into a Fractional PID. …”
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Gravitational Lensing of Charged Ayon-Beato-Garcia Black Holes and Nonlinear Effects of Maxwell Fields by H. Ghaffarnejad, M. Amirmojahedi, H. Niad

“…Nonsingular Ayon-Beato-Garcia (ABG) spherically symmetric static black hole (BH) with charge to mass ratio q=g/2m is metric solution of Born Infeld nonlinear Maxwell-Einstein theory. Central region of the BH behaves as (anti-)de Sitter for (|q|>1)  |q|<1. …”
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation by Wenyuan Liao

“…However those methods are computationally expensive, especially for nonlinear cases. Rosenbrock method is efficient since it is iteration-free; however it suffers from order reduction when it is used for nonlinear parabolic partial differential equation. …”
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Nonlinear System Identification Using Quasi-ARX RBFN Models with a Parameter-Classified Scheme by Lan Wang, Yu Cheng, Jinglu Hu, Jinling Liang, Abdullah M. Dobaie

“…Secondly, support vector regression is used to estimate the parameters linear to the model; meanwhile, an explicit kernel mapping is given in terms of the nonlinear parameter identification procedure, in which the model is transformed from the nonlinear-in-nature to the linear-in-parameter. …”
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Nonlinear Analysis Method for Serviceability Investigation of Bridge Deck Ends with a Concrete Slab Track by Deokyong Sung

“…In this study, a nonlinear analysis method was proposed to evaluate the serviceability review of a rail fastening system on concrete slab track at railway bridge ends. …”
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One-Dimensional Large-Strain Nonlinear Consolidation of Overconsolidated Clays with a Threshold Hydraulic Gradient by Chuanxun Li, Jinyang Xiao, Yang Yang, Wenbing Wu

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Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks in Nonlinear Identification by Oscar Castillo, Juan R. Castro, Patricia Melin, Antonio Rodriguez-Diaz

“…Neural networks (NNs), type-1 fuzzy logic systems (T1FLSs), and interval type-2 fuzzy logic systems (IT2FLSs) have been shown to be universal approximators, which means that they can approximate any nonlinear continuous function. Recent research shows that embedding an IT2FLS on an NN can be very effective for a wide number of nonlinear complex systems, especially when handling imperfect or incomplete information. …”
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Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces by Nakao Hayashi, Pavel I. Naumkin

“…We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrödinger equation in two-dimensional spaces i∂tu+(1/2)Δu=&#x1D4A9;(u), (t,x)∈ℝ×ℝ2;u(0,x)=φ(x), x∈ℝ2, where &#x1D4A9;(u)=Σj,k=12(λjk(∂xju)(∂xku)+μjk(∂xju¯)(∂xku¯)), where λjk,μjk∈ℂ. …”
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The Nonlinear Stability Prediction and FEM Modeling of High-Speed Spindle System with Joints Dynamic Characteristics by Bo Wang, Wei Sun, Kunpeng Xu, Junyong Zhang, Bangchun Wen

“…When predicting the nonlinear stability of high-speed spindle system, it is necessary to create an accurate model that reflects the dynamic characteristics of the whole system, including the spindle-bearing joint and spindle-holder-tool joints. …”
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Nonlinear Singular BVP of Limit Circle Type and the Presence of Reverse-Ordered Upper and Lower Solutions by Amit K. Verma, Lajja Verma

“…We consider the following class of nonlinear singular differential equation −(𝑝(𝑥)𝑦′(𝑥))′+𝑞(𝑥)𝑓(𝑥,𝑦(𝑥),𝑝(𝑥)𝑦′(𝑥))=0,0<𝑥<1 subject to the Neumann boundary condition 𝑦′(0)=𝑦′(1)=0. …”
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Transient Vibration Prediction for Rotors on Ball Bearings Using Load-Dependent Nonlinear Bearing Stiffness by Fleming David, Poplawski J.

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Multiple Solutions for Boundary Value Problems of th-Order Nonlinear Integrodifferential Equations in Banach Spaces by Yanlai Chen

“…The boundary value problems of a class of th-order nonlinear integrodifferential equations of mixed type in Banach space are considered, and the existence of three solutions is obtained by using the fixed-point index theory.…”
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['COMPARATIVE STUDY OF SOME ITERATIVE METHODS FOR NONLINEAR EQUATIONS FROM A DYNAMICAL POINT OF VIEW'] by Moin-ud-Din Junjua, Shazia Altaf, Fiza Sani, Saima Akram

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Frequency-Domain-Based Nonlinear Response Analysis of Stationary Ring Displacement of Noncontact Mechanical Seal by Dian Feng Sun, Jian Jun Sun, Chen Bo Ma, Qiu Ping Yu

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Research on correlation analysis and multivariate nonlinear regression modeling method for the tensile properties of mugwort petiole by Siqi Wang, Xinyu Hu, Rui Lu, Shuang Yan, Yunling Li, Daode Zhang

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A dynamic analysis of a prey–predator population model with a nonlinear harvesting rate by Nadia Mohdeb

“…Purpose – In this article, the author discusses dynamical behaviors of a prey-predator population model with nonlinear harvesting rate and offers a mathematical analysis of the model. …”
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