The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation by M. Torvattanabun, J. Simmapim, D. Saennuad, T. Somaumchan

“…This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions, and rational functions solutions. …”
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Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers by Zhaolin Jiang, Yanpeng Gong, Yun Gao

“…Circulant type matrices have become an important tool in solving differential equations. In this paper, we consider circulant type matrices, including the circulant and left circulant and g-circulant matrices with the sum and product of Fibonacci and Lucas numbers. …”
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Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method by Felicia Shirly Peace, Narmatha Sathiyaseelan, Lakshmanan Rajendran

“…An approximate analytical method (modified Adomian decomposition method) is used to solve nonlinear differential equations under steady-state condition. Analytical expressions for concentrations of the gas reactant and the temperature have been derived for Lewis number (Le) and parameters β, γ, and ϕ2. …”
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Pricing Arithmetic Asian Options under Hybrid Stochastic and Local Volatility by Min-Ku Lee, Jeong-Hoon Kim, Kyu-Hwan Jang

“…The multiscale partial differential equation for the option price is approximated by a couple of single scale partial differential equations. …”
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Photosynthesis as a discrete biochemical process by M. Štetina, J. KrempaskÝ

“…Transforming known phenomenological differential equations describing the photosynthesis into the discrete formalism it is possible to demonstrate that by change of control parameters such equations generate the very well known Feigenbaum‘s scenario of the duplication of states including the possibility of the transition into a chaotic regime. …”
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Dynamics of the Oxygen, Carbon Dioxide, and Water Interaction across the Insect Spiracle by S. M. Simelane, S. Abelman, F. D. Duncan

“…Here we investigate and analyze this interaction by deriving a system of ordinary differential equations for oxygen, carbon dioxide, and water vapor. …”
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Existence of Positive Solutions for a Class of px,qx-Laplacian Elliptic Systems with Multiplication of Two Separate Functions by Youcef Bouizem, Salah Mahmoud Boulaaras, Ali Allahem

“…The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two separate functions by using the sub-supersolutions method (1991 Mathematics Subject Classification: 35J60, 35B30, and 35B40).…”
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Construction of a Class of Copula Using the Finite Difference Method by Remi Guillaume Bagré, Frédéric Béré, Vini Yves Bernadin Loyara

“…For this, we use the finite difference method which is a common technique for finding approximate solutions of partial differential equations which consists in solving a system of relations (numerical scheme) linking the values of the unknown functions at certain points sufficiently close to each other.…”
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Iterative Method for Solving the Second Boundary Value Problem for Biharmonic-Type Equation by Dang Quang A., Nguyen Van Thien

“…Solving boundary value problems (BVPs) for the fourth-order differential equations by the reduction of them to BVPs for the second-order equations with the aim to use the achievements for the latter ones attracts attention from many researchers. …”
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Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods by Youfeng Zhu, Hongyu Zang, Xiaofei Kong, Peng Ban

“…Two-degree vibration partial differential equations of large horizontal axis turbine blades were established by Kallesøe’s model and Greenberg unsteady aerodynamic theory. …”
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On a New Class of Antiperiodic Fractional Boundary Value Problems by Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi, Nadia Mohamad

“…This paper investigates a new class of antiperiodic boundary value problems of higher order fractional differential equations. Some existence and uniqueness results are obtained by applying some standard fixed point principles. …”
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Noether symmetry of multi-delay Birkhoffian system and its conserved quantity by Xin-Yu Du, Xiang-Hua Zhai

“…The multi-delay differential equations of motion are derived for both Birkhoffian and Hamiltonian models. …”
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Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant by Haileyesus Tessema Alemneh, Oluwole Daniel Makinde, David Mwangi Theuri

“…In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. …”
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Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source by Sarbani Chakravorty, Amitava Chakravorty

“…The problem is reduced to the solution of three differential equations, one involving the elastic vector potential, and the other two coupled, involving the thermoelastic scalar potential and the temperature. …”
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Influence of weak injection on spatiotemporal instabilities in a broad-area vertical-cavity semiconductor laser by E.A. Yarunova, A.A. Krents, N.E. Molevich

“…The results are confirmed by the numerical solution of a system of differential equations. It is shown that the suppression of the modulation instability can be achieved by injecting into the resonator an external low-amplitude optical radiation.…”
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Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions by Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos, Kostas G. Arvanitis

“…In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. …”
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The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems by Dumitru Baleanu, Sayyedeh Zahra Nazemi, Shahram Rezapour

“…There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. …”
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Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation by Jiajia Wang, Zunwei Fu, Shaoguang Shi, Ling Mi

“…Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs. …”
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Study on Synchronization of Two Eccentric Rotors Driven by Hydraulic Motors in One Vibrating System by Tianxia Zhang, Bangchun Wen, Jian Fan

“…In this article the synchronization of two eccentric rotors driven by hydraulic motors (TERDHM) in one vibrating system is studied. The differential equations of TERDHM motion are derived, and the synchronous and stable rotating conditions of TERDHM are established. …”
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The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations by Maosheng Tian, Xuejing Meng, Jihong Chen, Xiaoqi Tang

“…Methods and techniques developed here have the potential to be applied in other unbounded delay stochastic differential equations.…”
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