Optimal Strategies for Control of COVID-19: A Mathematical Perspective by Baba Seidu

“…A deterministic ordinary differential equation model for SARS-CoV-2 is developed and analysed, taking into account the role of exposed, mildly symptomatic, and severely symptomatic persons in the spread of the disease. …”
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Lyapunov Stability of the Generalized Stochastic Pantograph Equation by Ramazan Kadiev, Arcady Ponosov

“…The framework can be applied to any stochastic functional differential equation with finite dimensional initial conditions.…”
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Bifurcation Type Change of AC Electrostatically Actuated MEMS Resonators due to DC Bias by Dumitru I. Caruntu, Kyle N. Taylor

“…The method of multiple scales (MMS) is used to solve the dimensionless differential equation of motion of the resonator and find the steady-state solutions. …”
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Vibration Optimization of Multi-gear Transmission System based on Mixed-discrete Method by Zhang Lijuan

“…Taking the gear pair meshing stiffness,meshing damping and transmission error into consideration,the six degree of freedom pure torsion model differential equation of multi- gear transmission is set up based on lumped parameter method,the vibration accelerated speed of each component is obtained by adopting harmonic balance method. …”
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Well-Posed Inhomogeneous Nonlinear Diffusion Scheme for Digital Image Denoising by V. B. Surya Prasath, Arindama Singh

“…We study an inhomogeneous partial differential equation which includes a separate edge detection part to control smoothing in and around possible discontinuities, under the framework of anisotropic diffusion. …”
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Orthogonal Polynomials on Radial Rays in the Complex Plane: Construction, Properties and Applications by Gradimir V. Milovanović

“…Recurrence relations for such kinds of orthogonal polynomials and their zero distribution, as well as a connection with the standard polynomials orthogonal on the real line, are derived, including the corresponding linear differential equation of the second order. Finally, some applications in physics and electrostatics are mentioned.…”
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Dynamics Characteristic Analysis of a Spur Gear based on Measured Tooth Surface Error by Chen Siyu, Bai Fan, Tang Jinyuan

“…In order to study the influence of tooth surface error on gear system,the static transmission error is calculated for gear system with measured errors such as profile deviation,run out and pitch errors by tooth contact analysis method.In this work,a differential equation of vibration for gear system with time-varying meshing stiffness,blackness,meshing damping and static transmission error is established on the basis of previous research for gear transmission system. …”
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DYNAMIC CHARACTERISTICS ANALYSIS OF SPHERICAL HYBRID SLIDING BEARINGS by JI DongSheng, SHEN JingFeng, CHEN YuFei, ZHOU YiHao

“…Taking spherical hybrid sliding bearings as the research object, established the mathematical model of lubrication analysis of spherical sliding bearings, the dynamic liquid lubrication equation under laminar flow was derived by the perturbation method, the partial differential equation of disturbance pressure was solved by the finite difference method, and the liquid was calculated numerically. …”
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An Extended Newmark-FDTD Method for Complex Dispersive Media by Yu-Qiang Zhang, Peng-Ju Yang

“…In this paper, the time-stepping equation of the polarization vector is derived by applying simultaneously the Newmark algorithm to the two sides of a second-order time-domain differential equation obtained from the relation between the polarization vector and electric field intensity in the frequency domain by the inverse Fourier transform. …”
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MAGNETOELASTIC NATURAL VIBRATION OF CONDUCTIVE CIRCULAR PLATE IN CURRENT-CARRYING COILS by XU HaoRan, HU YuDa, LI WenPing

“…By setting of a displacement function and using of Galerkin method,the magnetoelastic axisymmetric vibration differential equation of the plate and the expression of the natural frequency were obtained. …”
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A robust, exponentially fitted higher-order numerical method for a two-parameter singularly perturbed boundary value problem by Adisie Fenta Agmas, Fasika Wondimu Gelu, Meselech Chima Fino

“…The derivatives in the governing ordinary differential equation are substituted by second-order central finite difference approximations, after which the fitting parameter is introduced and determined. …”
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The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System by Omid Jalili, Shahin Toni, Jafar Sadeghi

“…SUSY quantum mechanics can be used to solve ordinary differential equation. Using this method, we obtained the energy spectrum of the Fermions on the aforementioned background. …”
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A finite difference method formulation based on the time integral domain for the solution of Transient diffusion-advection problem by Marcelo Franco de Oliveira, Daniele Cristina Thoaldo, Rodrigo Dias

“…In this approach, a weighting function with respect to time is used in the fundamental differential equation. By assuming a linear variation in some time interval, a time integration is performed. …”
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Chaotic numerical instabilities arising in the transition from differential to difference nonlinear equations by Alicia Serfaty de Markus

“…For computational purposes, a numerical algorithm maps a differential equation into an often complex difference equation whose structure and stability depends on the scheme used. …”
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Study on Galloping Oscillation of Iced Catenary System under Cross Winds by Guo Chen, Yiren Yang, Yang Yang, Peng Li

“…The partial differential vibration equation of the system is converted into the ordinary differential equation by the Galerkin method and then numerically solved. …”
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Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances by Jianbao Zhang, Wenyin Zhang, Chengdong Yang, Haifeng Wang, Jianlong Qiu, Fawaz Alsaadi

“…This paper investigates the dynamic properties of a differential equation model of mammals’ circadian rhythms, including parameter identification, adaptive control, and outer synchronization. …”
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VIBRATION SUPPRESSION CHARACTERISTICS ANALYSIS OF TWO-PLANE AUTOMATIC BALL BALANCING DEVICE by WANG Zhi, CHEN HaiWei, SUN Zhen

“…The mathematical models of two-plane automatic ball balancing device for double eccentric disk were established and derived the vibration differential equation by the Lagrange equation,the autonomous system was obtained by rotating coordinate transformation. …”
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Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment by Yanqun Han, Xulong Peng

“…It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature excess. …”
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Mathematical Model of Pipeline Abandonment and Recovery in Deepwater by Xia-Guang Zeng, Meng-Lan Duan, Chen An

“…For this problem a third-order differential equation is used as the governing equation in this paper, rather than the traditional second-order one. …”
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Three-Party Stochastic Evolutionary Game Analysis of Reward and Punishment Mechanism for Green Credit by Qingfeng Zhu, Kaimin Zheng, Yilin Wei

“…We gave sufficient conditions for the stability of strategy based on the stability discriminant theorem of Ito^'s stochastic differential equation (SDE). Then, we discussed the impacts of incentive and penalty parameters on green credit. …”
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