Computer-Aided Numerical Inversion of Laplace Transform by Umesh Kumar

“…This technique is applicable to the solution of partially differentiable equations and certain classes of linear systems with time varying components.…”
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Stiffness Calculation for Negative Moment Region of Steel-Concrete Composite Beams considering the Influence of Cracking and Interface Slip by Wenlong Cao, Jianqing Bu, Cunbao Zhao, Xueyan Wang, Liping Zhang, Jiren Zhang

“…To evaluate this decrease in the stiffness of SCCBs, a static differential equation is used to derive analytical expressions of interface slip and deflection. …”
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Mathematical Model for The Transmission of Malaria In Uganda. by Lusambya, Robert

“…The resent an ordinary differential equation mathematical model for the spread of malaria in Mosquito populations. …”
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Research on Spatial Location of a Spherical 3-RRR Parallel Mechanism by Wang Li

“…Aiming at the large-scale asymptotically stable dynamic quality of the system, the conditions that the angular velocity of the moving platform should satisfy are obtained, and the quaternion differential equation of motion of the moving platform in the positioning process is established. …”
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Mathematical Modeling of the Transmission Dynamics of Gumboro Disease by J. S. Musaili, I. Chepkwony, W. N. Mutuku

“…The basic reproduction number Rog is derived, and the dynamical behaviors of both the disease-free equilibrium (DFE) and endemic equilibrium are analyzed using the ordinary differential equation theory. From the analysis, we found that the system exhibits an asymptotic stable DFE whenever Rog<1 and an asymptotic stable EE whenever Rog>1. …”
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INCREMENTAL HARMONIC BALANCE METHOD FOR THE STUDY OF SUPPORT LOOSENESS FAULT’S CHARACTERISTICS by CAO QingSong, XIANG Qin, XIONG GuoLiang

“…To a Jeffcott rotor system with support looseness fault,a vibration differential equation with piecewise-linear stiffness was established by considering the system with one-side support looseness and the rotor with unbalanced extraneous exciting force. …”
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DYNAMICS CHARACTERISTICS AND EXPERIMENTAL ANALYSIS ON THE OBLIQUE CUTTING OF PLOW SYSTEM by ZHANG Yu, CHEN HongYue, HAO ZhiYong, MAO Jun

“…Aiming at the mechanical properties of plow head and dynamic charateristics of system under oblique cutting condition,cutting resistance of planning tool under oblique cutting condition was derived,and was treated as external excitation. Dynamic differential equation of plow system were established by using the finite element method,and were solved by using numerical method. …”
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ON APPLICATION OF ARTIFICIAL NEURAL NETWORKS FOR MODELING OF WATER CONSUMPTION by Alexander N. Salugin, Roman N. Balkushkin

“…The use of mathematical models in the form of a system of differentiated equations is hampered by the uncertainty of the coefficients in their right-hand sides, which describe the intensities of processes of different natures: precipitation, water consumption by various sectors of the water management complex, water runoff during snow melting, transpiration, infiltration, etc. …”

Analysis of Fractional Kundu-Eckhaus and Massive Thirring Equations Using a Hybridization Scheme by Muhammad Nadeem, Hanan A. Wahash

“…The fractional differential equation may be transformed into its partner equation using He’s fractional complex transform, and then, the nonlinear elements can be readily handled using the homotopy perturbation method (HPM). …”
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Preliminary analysis of an agent-based model for a tick-borne disease by Holly Gaff

“…The results from this model arecompared with those from previously published differential equation based populationmodels. The findings show that the agent-based model produces significantly lower prevalenceof disease in both the ticks and their hosts than what is predicted by a similardifferential equation model.…”
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An Adaptive Time-Stepping Algorithm for the Allen–Cahn Equation by Chaeyoung Lee, Jintae Park, Soobin Kwak, Sangkwon Kim, Yongho Choi, Seokjun Ham, Junseok Kim

“…The AC equation is a nonlinear partial differential equation, which was first proposed by Allen and Cahn for antiphase boundary motion and antiphase domain coarsening. …”
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RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE by YANG ZhiAn, LIU ZhiWei

“…According to the beam theory,the nonlinear dynamic equation of carbon nanotube system is established,it is a nonlinear partial differential equation. By means of the method of multiple scales,nonlinear vibration equation of the system is acquired and the numerical calculation is carried out. …”
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Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process by Hao Chang, Xi-min Rong

“…Secondly, we use dynamic programming principle to get the Hamilton-Jacobi-Bellman (HJB) equation for the value function, which is a more sophisticated nonlinear second-order partial differential equation. Furthermore, we use Legendre transform and dual theory to transform the HJB equation into its dual one. …”
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ANALYSIS ON MAGNETO-AEROELASTIC TRANSVERSE VIBRATION OF ROTATING CONDUCTIVE CIRCULAR PLATE by HU YuDa, LI WenQiang

“…According to principles of electromagnetic field combined with a simplified aerodynamic model,the expressions of electromagnetic force and aerodynamic load of rotating circular plate were given.The magneto-aeroelastic free differential equation of conductive rotating circular plate was presented by means of Galerkin method. …”
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Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload by Huasen Liu, Wenming Cheng, Yinqi Li

“…In this paper, the coupling system of an overhead crane was simplified to that of a moving mass with pendulum swing passing beam model. The differential equation motion of a coupled overhead crane system was derived based on the Lagrange equation. …”
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-Advanced Models for Tsunami and Rogue Waves by D. W. Pravica, N. Randriampiry, M. J. Spurr

“…A wavelet , that satisfies the q-advanced differential equation for , is used to model N-wave oscillations observed in tsunamis. …”
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Resonance Spectra of Caged Stringy Black Hole and Its Spectroscopy by I. Sakalli, G. Tokgoz

“…We then show how the complex resonant frequencies of the caged GHSBH are computed using the Bessel differential equation that arises when the scalar perturbations around the event horizon are considered. …”
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A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field by Abdul-Sattar J. A. Al-Saif, Abeer Majeed Jasim

“…The suitable one of similarity transformation conversion laws is proposed to obtain the governing MHD flow nonlinear ordinary differential equation. The resulting equation has been solved by a novel algorithm. …”
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Per‐unit transformation for the combined analysis of multi‐energy integration by Zhang Zhang, Fei Wang, Hui Fan

“…Abstract To handle numerical issues caused by dimensional differences among heterogeneous states in integrated energy systems (IES), this paper proposes a novel per‐unit transformation method and explores its applications to the partial differential equation‐governed models. Initially, a unified IES model is developed, which encompasses both fast and slow dynamics in a generalized form. …”
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Theoretical Vibration Analysis Regarding Excitation due to Elliptical Shaft Journals in Sleeve Bearings of Electrical Motors by Ulrich Werner

“…The solution of the linear differential equation system leads to the mathematical description of the movement of the rotor mass, the shaft journals, and the sleeve bearing housings. …”
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