The Investigation of MHD Williamson Nanofluid over Stretching Cylinder with the Effect of Activation Energy by Wubshet Ibrahim, Mekonnen Negera

“…Dimensionless ordinary differential equations are obtained from the modeled PDEs by using appropriate transformations. …”
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An Improved Version of Residual Power Series Method for Space-Time Fractional Problems by Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge

“…The parameter λ allows us to establish the best numerical solutions for space-time fractional differential equations (STFDE). Since each problem has different Dirichlet boundary conditions, the best choice of the parameter λ depends on the problem. …”
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Determination of Number of Infected Cells and Concentration of Viral Particles in Plasma during HIV-1 Infections Using Shehu Transformation by M. Higazy, Sudhanshu Aggarwal, Y. S. Hamed

“…The mathematical model of HIV-1 infections contains a system of two simultaneous ordinary linear differential equations with initial conditions. Results depict that Shehu transformation is very effective integral transformation for determining the number of infected cells and concentration of viral particles in plasma during HIV-1 infections.…”
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Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model by Yuhong Wang, Shulin Yang, Wuyong Qian, Xiaozhong Li

“…Taking account of the time-delayed phenomenon in diffusion of new products, we propose the time-delayed Verhulst model and then establish a grey time-delayed Verhulst model using the method of grey differential equations. The related parameter packets of this novel model are obtained under the rule of ordinary least squares (OLS). …”
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$\phi $-FEM for the heat equation: optimal convergence on unfitted meshes in space by Duprez, Michel, Lleras, Vanessa, Lozinski, Alexei, Vuillemot, Killian

“…Thanks to a finite element method, we solve numerically parabolic partial differential equations on complex domains by avoiding the mesh generation, using a regular background mesh, not fitting the domain and its real boundary exactly. …”
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Application of Fuzzy Fractional Kinetic Equations to Modelling of the Acid Hydrolysis Reaction by Ferial Ghaemi, Robiah Yunus, Ali Ahmadian, Soheil Salahshour, Mohamed Suleiman, Shanti Faridah Saleh

“…The method is computationally interesting, and the numerical results demonstrate the effectiveness and validity of the method for solving fuzzy fractional differential equations.…”
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Brief introduction to distributions and to Hörmander spaces Bp,k by Alejandro Ortiz Fernández

“…Partial differential equations (PDE’s) are, we believe, little known in our country, especially at a medium-advanced level, in particular, their historical roots and methods developed in their evolution. …”
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The General Traveling Wave Solutions of the Fisher Equation with Degree Three by Wenjun Yuan, Qiuhui Chen, Jianming Qi, Yezhou Li

“…Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.…”
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An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative by Hossein Aminikhah, Nasrin Malekzadeh

“…Results indicate that the introduced method is promising for solving other types of systems of nonlinear fractional-order partial differential equations.…”
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Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications by Jie Jia, Khurram Shabbir, Khushdil Ahmad, Nehad Ali Shah, Thongchai Botmart

“…By using the Picard-Thakur hybrid iterative scheme, we can find the solution of delay differential equations and also prove some convergence results for nonexpansive mapping in a uniformly convex Banach space.…”
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Analytic Solutions of Some Self-Adjoint Equations by Using Variable Change Method and Its Applications by Mehdi Delkhosh, Mohammad Delkhosh

“…Many applications of various self-adjoint differential equations, whose solutions are complex, are produced (Arfken, 1985; Gandarias, 2011; and Delkhosh, 2011). …”
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Analysis of the Nonlinear Structural-Acoustic Resonant Frequencies of a Rectangular Tube with a Flexible End Using Harmonic Balance and Homotopy Perturbation Methods by Y. Y. Lee

“…The structural acoustic problem considered in this study is the nonlinear resonant frequencies of a rectangular tube with one open end, one flexible end, and four rigid side walls A multiacoustic single structural modal formulation is derived from two coupled partial differential equations which represent the large amplitude structural vibration of the flexible end and acoustic pressure induced within the tube. …”
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On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods by A. K. Gupta, S. Saha Ray

“…Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers-Fisher and generalized Fisher equations. …”
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Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations by Azam Zahrani, Mashaallah Matinfar, Mostafa Eslami

“…This work concerns the numerical solutions of a category of nonlinear and linear time-fractional partial differential equations (TFPDEs) that are called time-fractional inhomogeneous KdV and nonlinear time-fractional KdV equations, respectively. …”
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Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. by Musiime, Catherine

“…In this study, we discuss a SLIRV model developed by Jonnalagadda & Gaddam (2016) for the transmission of influenza A with vaccination using tools from ordinary differential equations. We show that if the product of the recruitment rate and the ratio of infection rate to mean latent period is less than the product the sums µ + m, µ + m and + a + y; where µ, a, y, m and 1/ware natural death rate, disease-related death rate, recovery rate, vaccination rate and mean latent period, respectively; then the disease-free equilibrium will be locally and globally asymptotically stable, an indication that that disease can be eradicated from the population.…”
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Constructions of solitary wave solutions for huge family of NPDEs with three applications. by Hanan A Alkhidhr, Y Omar

“…This study offers closed-form solutions for the frequently utilised families of nonlinear partial differential equations (NPDEs). This form based on the He's semi-inverse technique. …”
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An Algorithm for Higher Order Hopf Normal Forms by A.Y.T. Leung, T. Ge

“…This article provides an explicit formula for the normalization of nonlinear differential equations. The higher order normal form is given explicitly. …”
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Existence of Weak Solutions for a Sturm–Liouville Type System Using Critical Points Theorems by Saeid Shokooh, Amir Ali Shamlou

“…In this paper, we will study a system of Sturm–Liouville differential equations under the Dirichlet boundary condition. …”
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Mathematical Modeling for Optimal Management of Human Resources in Banking Sector of Bangladesh by Uzzwal Kumar Mallick, Md. Haider Ali Biswas

“…A system of ordinary nonlinear differential equations has three state variables including vacancies. …”
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Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source by B. S. Bhadauria

“…An autonomous system of fourth-order differential equations has been deduced by using a truncated Fourier series. …”
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