Combined Effects of Thermal Radiation and Nanoparticles on Free Convection Flow and Heat Transfer of Casson Fluid over a Vertical Plate by M. G. Sobamowo

“…The governing systems of nonlinear partial differential equations of the flow and heat transfer processes are converted to systems of nonlinear ordinary differential equations through similarity transformations. …”
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Comparison of the asymmetric multifractal behavior of green and U.S. bonds against benchmark financial assets by Werner Kristjanpoller, Benjamin Miranda Tabak

“…Green bonds, however, display nonlinear correlations with Bitcoin and stand out for their distinct upward financial persistence. …”
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Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation by A. Sami Bataineh, A. K. Alomari, I. Hashim

“…Exact and approximate analytical solutions of linear and nonlinear singular two-point boundary value problems (BVPs) are obtained for the first time by the Legendre operational matrix of differentiation. …”
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Statistical and Dynamical Decoupling of the IGM from Dark Matter by Li-Zhi Fang, Weishan Zhu

“…The dynamical reason of the decoupling is the difference of the nonlinear evolution of baryon fluid from that of collisionless dark matter. …”
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The Rayleigh quotient and dynamic programming by Richard Bellman

“…The purpose of this paper is to derive a nonlinear partial differential equation for which λ given by (1.3), is one value of the solution. …”
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Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation by Jiangbo Zhou, Lixin Tian

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An Algorithm for Higher Order Hopf Normal Forms by A.Y.T. Leung, T. Ge

“…Normal form theory is important for studying the qualitative behavior of nonlinear oscillators. In some cases, higher order normal forms are required to understand the dynamic behavior near an equilibrium or a periodic orbit. …”
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Exponential Stability of Switched Positive Homogeneous Systems by Dadong Tian, Shutang Liu

“…This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields. …”
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Investigation of Factors Influencing the Structural Vibration in Ball Bearings by Kapil Mehra, Kambiz Farhang, Jayanta Datta

“…The lumped parameter formulation is obtained by treating various elements with mass lumped at their centers of gravity and the contact as nonlinear springs with nonlinear spring rates.…”
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The HPM Applied to MHD Nanofluid Flow over a Horizontal Stretching Plate by S. S. Nourazar, M. Habibi Matin, M. Simiari

“…The comparisons of the results show that the HPM has the capability of solving the nonlinear boundary layer MHD flow of nanofluid with sufficient accuracy.…”
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RESEARCH ON DYNAMIC PERFORMANCE OF GEAR SYSTEM BASED ON ORTHOGONAL DESIGN AND GENETIC ALGORITHM by WU ZhengWei, WU XunCheng, ZHANG JueCheng

“…Dynamic performance of gear system especially vibration was a typical nonlinear problem,while the vibration was closely related to the gear profile modification,the solving gear profile modification parameters was a nonlinear optimization problem. …”
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THE IDENTIFICATION ALGORITHM OF METROLOGICAL CHARACTERISTICS OF WIDE-RANGE PHOTOVOLTAIC SEMICONDUCTOR CONVERTERS WITH MULTIPLY IMPURITIES by O. K. Gusev, A. I. Svistun, L. I. Shadurskaya, N. V. Yarjembitskaya

“…The algorithm of the measurement procedure of the metrological characteristics of PSC is introduced not only at low densities of optical power, but at high, taking into account the boundary of nonlinear recombination. The estimation of accuracy of feature finding of the metrological characteristics PSC based on semiconductors with the multiple-charge impurities, is carried out, taking into consideration the area of nonlinear recombination.…”
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Spherical Simplex-Radial Cubature Quadrature Kalman Filter by Zhaoming Li, Wenge Yang

“…A spherical simplex-radial cubature quadrature Kalman filter (SSRCQKF) is proposed in order to further improve the nonlinear filtering accuracy. The Gaussian probability weighted integral of the nonlinear function is decomposed into spherical integral and radial integral, which are approximated by spherical simplex cubature rule and arbitrary order Gauss-Laguerre quadrature rule, respectively, and the novel spherical simplex-radial cubature quadrature rule is obtained. …”
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Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method by Sara H. M. Hamed, Eltayeb A. Yousif, Arbab I. Arbab

“…The results show that the method is effective and convenient for solving nonlinear differential equations of fractional order.…”
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The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method by Farah M. Al-Askar, Wael W. Mohammed

“…This article considers the stochastic fractional Radhakrishnan-Kundu-Lakshmanan equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic nonlinear terms in Kerr law. …”
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Some Modern Problems in Structural Engineering Dynamics by I. Elishakoff, D. Pentaras

“…One problem is linear, the other is nonlinear. Authors have a biased preferential view on these problems because of their active involvement in the discussed research topics. …”
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Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions by Phollakrit Thiramanus, Sotiris K. Ntouyas, Jessada Tariboon

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New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation by Peng Guo, Xiang Wu, Liangbi Wang

“…The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. …”
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Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising by Yuying Shi, Qianshun Chang

“…The algorithm consists of an efficient solver for the nonlinear system and an acceleration strategy for the outer iteration. …”
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Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications by Sumei Ai, Yongfu Su

“…The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive mappings in a Banach space with new method of proof, (3) two examples of uniformly closed countable families of nonlinear mappings and applications, (4) an example which is hemirelatively nonexpansive mapping but not weak relatively nonexpansive mapping, and (5) an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping. …”
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