Isomorphism-Based Fast Simulation of Mismatched Photovoltaic Arrays by D. del Giudice, A. Dolara, J. D. Bastidas-Rodriguez, G. Spagnuolo, A. M. Brambilla, F. Bizzarri

“…The approach exploits similarities among subsections of the array to minimize the number of nonlinear equations modeling it. The lower the simulation accuracy required, the smaller the rank of the system of equations to solve. …”
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Cross-diffusion effects of viscous heating hydromagnetic Casson fluid flow in permeable vertical media with radiation and heat loss by B. Prabhakar Reddy, MD. Shamshuddin, S.O. Salawu, M. Paul Matao

“…The nonlinear differential equations are solved by the numerical technique finite difference method (FDM) with suitable conditions. …”
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Significances of melting heat transfer and bioconvection phenomena in nanofluid flow over a three different geometries by Prasun Choudhary, Sushila Choudhary, Kavita Jat, K. Loganathan, S. Eswaramoorthi

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Kink dynamics in the φ4 model with two extended impurities by Fakhretdinov, Marat Irekovich, Ekomasov, Evgenii Grigorievich

“…The φ4 model with inhomogeneities was numerically solved using the method of lines for partial differential equations. The kink was launched in the direction of the inhomogeneities with different initial velocities. …”
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Significance of Cu-Fe3O4 on fractional Maxwell fluid flow over a cone with Newtonian heating by Hanifa Hanif, Arshad Khan, Mohd Rijal Illias, Sharidan Shafie

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Comparison of different elastic strain definitions for largely deformed SEI of chemo-mechanically coupled silicon battery particles by R. Schoof, G.F. Castelli, W. Dörfler

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Fractional-order boundary value problems solutions using advanced numerical technique by Asmat Batool, Imran Talib, Muhammad Bilal Riaz

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New general single, double and triple conformable integral transforms: Definitions, properties and applications by Mohammad Hossein Akrami, Abbas Poya, Mohammad Ali Zirak

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Two Wave Interactions in a Fermi– Pasta–Ulam Model by S. D. Glyzin, S. A. Kashchenko, A. O. Tolbey

“…The main result is that the analytical methods of nonlinear dynamics explored the interaction of waves moving in different directions, in the problem of the FPU. …”
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Cylindrical shells and panels subject to bilateral and unilateral contact constraints by McGlennon da Rocha Régis, Ricardo Azoubel da Mota Silveira, Christianne de Lyra Nogueira, Paulo B. Gonçalves

“…The chosen method for discretizing the partial differential equilibrium equation contact problem is the finite difference method (FDM). …”
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Aeroelastic Oscillations of Cantilever Beams Reinforced by Carbon Nanotubes Based on a Modified Third-Order Piston Theory by Mehdi Alimoradzadeh, Francesco Tornabene, Rossana Dimitri

“…Then, the Galerkin decomposition technique is adopted to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation. …”
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Numerical simulation of Boger nanofluids with heat source, magnetic field, and Cattaneo–Christov heat flux model between two parallel permeable porous plates via finite difference... by Qadeer Raza, Xiaodong Wang

“…A stable and precise finite difference method (FDM) has been implemented to solve the nonlinear and complex flow equations, incorporating the relevant boundary conditions. …”
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Harnessing electroosmotic hybrid nanofluid dynamics in curved arteries: insights into biomedical flow enhancement by M. A. El Kot, M. A. El Kot, Abdullah Madhi Alsharif, Y. Abd Elmaboud, Y. Abd Elmaboud, Sara I. Abdelsalam, Sara I. Abdelsalam

“…To account for both the curvature of the vessel and the overlapping stenosis, we derived the governing equations for this model. Using numerical methods, particularly the finite-difference approach, we solved the nonlinear partial differential equations that govern the flow, temperature, and concentration distributions. …”
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Two-phase micropolar nanofluid flow in an isothermal extending porous sheet with heat radiation and chemical interaction: Numerical study by MD. Shamshuddin, Fakhraldeen Gamar, S.O. Salawu, B. Prabhakar Reddy

“…Using similarity variable techniques, the partial differential equations (PDEs) which elucidate the envisioned model yield nonlinear ordinary differential equations (ODEs) in their self-similar form. …”
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Stability analysis and numerical simulations of a discrete-time epidemic model by Iqbal M. Batiha, Mohammad S. Hijazi, Amel Hioual, Adel Ouannas, Mohammad Odeh, Shaher Momani

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Impacts of oxytactic microorganisms and viscous dissipation in Carreau nanoliquid featuring ferromagnetic nanoparticles by Muhammad Tabrez, I. Hussain, W.A. Khan, S.U. Khan, M. Waqas, Rzgar Farooq Rashid, M.I. Anwar, Mohamed Ben Ammar, Nurnadiah Zamri, Ruzimurod Abiyev, Hakim AL Garalleh

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Mathematical analysis of Jeffrey ferrofluid on stretching surface with the Darcy–Forchheimer model by Saleem Musharafa, Hussain Majid, Haider Aun

“…Using similarity transformations, the model equations are transformed into coupled nonlinear ordinary differential equations. …”
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On Bobkov-Tanaka type spectrum for the double-phase operator by Gambera Laura, Guarnotta Umberto

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Solar Energy Utilization of Radiative Implication of Trihybrid Xue-Modeled Nanofluid Flow for Oblique Stagnation Point Flows by Yasir Mehmood, Areej Asif, Ikram Syed, Waseem Abbasi, Syed Sajid Ullah, Muhammad Shahid Anwar

“…It examines the impact of nonlinear thermal radiation on a mixture of three different nanoparticles as the fluid moves along a stretching surface. …”
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Numerical Solution for fluid flow in Horizontal and Inclined Cavities by Iman Al-obaidi

“…This study demonstrates how to control fluid flow in inclined and horizontal cavities. The equations governing the problem are established, including the two-dimensional nonlinear partial differential equations of energy, motion, and continuity. …”
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