Estimated effect of rotational components of seismic impact on the strength-strain state of simple systems by O. V. Mkrtychev, A. A. Reshetov, E. M. Lokhova

“…In the scope of this study, the rotational components of accelerograms are obtained from both the action of only one translational component and from the action of two translational components of seismic action for an integral seismic motion model; and the equation of motion has been derived considering them.Materials and methods. The differential equations of motion for the investigated systems were solved in both planar and spatial settings. …”
Get full text

A ternary hybrid model for analysis of enhanced heat transport in non-Newtonian nanofluid over cylindrical geometry with effect of infinite shear rate viscosity by Hakim AL Garalleh

“…Based on assumptions of current study, the governing partial differential equations (PDEs) are formed and then transformed into ODEs for numerical solution. …”
Get full text

Investigation of Heat and Mass Transfer in the Process of Fuel Preparation from Biomass Particles with High Moisture by A. V. Mitrofanov, O. B. Kolibaba, R. N. Gabitov, D. A. Dolinin, S. V. Vasilevich

“…In the course of the study, the following tasks were solved: a numerical method was developed for describing the processes of internal and external heat and mass transfer problems using an explicit difference approximation of differential equations of heat and mass transfer; parametric identification of the proposed one-dimensional mathematical model was performed using empirical dependencies known from literature sources; empirical verification of the proposed mathematical model was carried out by comparing the calculated forecasts obtained with the results of their own field experiments. …”
Get full text

Novel numerical and artificial neural computing with experimental validation towards unsteady micropolar nanofluid flow across a Riga plate by Muhammad Bilal, F. Maiz, Muhammad Farooq, Hijaz Ahmad, Mohammad Khalid Nasrat, Hassan Ali Ghazwani

“…The fluid flow has been expressed in the form of a nonlinear system of PDEs (partial differential equations), which are reduced into the non-dimensional form of ordinary differential (ODEs) by employing the similarity transformation approach. …”
Get full text

Study of COVID-19 cases with real data analysis by Wedad Albalawi, Kottakkaran Sooppy Nisar, Nadir Omer, Adnan Aslam, Takasar Hussain, Muhammad Ozair, Shahid Hussain, Nida Hameed

“…In this work, patients of corona virus disease 2019, known as COVID-19, have been studied in Pakistan and its neighboring countries Iran, India and Afghanistan through the mathematical model in the form of coupled system of five ordinary differential equations. Two types of equilibria, infection free and endemic, are obtained. …”
Get full text

A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy by Muhammad Abid, Muhammad Shahid

“…Numerical solutions to partial differential equations (PDEs) play a vital role in modeling complex physical phenomena across scientific computing and engineering disciplines. …”
Get full text

Cubic-quartic optical solitons with polarization-mode dispersion by the improved adomian decomposition scheme by Afrah M. Almalki, A.A. AlQarni, H.O. Bakodah, A.A. Alshaery, Ahmed H. Arnous, Anjan Biswas

“…This method decomposes both linear and nonlinear differential equations into simpler sub-problems, enabling the extraction of approximate analytical solutions without the need for linearization or perturbation techniques. …”
Get full text

Water level monitoring by using magnetic optical sensor by Jonatan Daniel Morales Arrieta, Jesus Vargas Ortiz, Jesús Patricio Ordaz Oliver, Juan Carlos González Islas, Omar Samperio Vázquez

“…Firstly, mathematical modeling of the water level measurement in a tank using differential equations is described. This system comprises a printed circuit board (PCB), a novel float mechanism, an optical sensor, a microcontroller, and a visualization stage. …”
Get full text

Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates by Narinderjit Singh Sawaran Singh, Waqed H. Hassan, Zainab Mоhammed Ameen Ahmed, Younis Mohamed Atiah Al-zahy, Soheil Salahshour, Mostafa Pirmoradian

“…The Galerkin method is utilized to solve the partial differential equations governing the dynamics of the piezoelectric polymeric nanoplate, marking a significant methodological contribution to the field. …”
Get full text

Two-loop planar master integrals for NNLO QCD corrections to W-pair production in quark-antiquark annihilation by Wen-Jie He, Ren-You Zhang, Liang Han, Yi Jiang, Zhe Li, Xiao-Feng Wang, Shu-Xiang Li, Pan-Feng Li, Qing-hai Wang

“…These MIs are analytically calculated using the method of differential equations, with solutions expanded as Taylor series in the dimensional regulator ϵ. …”
Get full text

Qualitative financial modelling in fractal dimensions by Rami Ahmad El-Nabulsi, Waranont Anukool

“…Abstract The Black–Scholes equation is one of the most important partial differential equations governing the value of financial derivatives in financial markets. …”
Get full text

A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic by John Awuah Addor, Anthony Joe Turkson, Douglas Yenwon Kparib

“…A five-compartment susceptible-infection-recovery-susceptible-based model was formulated in an integrated environment with application of fashion-based personal protective equipment (FPPEs) and government policy regulation, using ordinary differential equations. Solution techniques included a mix of qualitative analysis and simulations with data from various publications on COVID-19. …”
Get full text

Models for an arenavirus infection in a rodent population: consequences of horizontal, vertical and sexual transmission by Chandrani Banerjee, Linda J. S. Allen, Jorge Salazar-Bravo

“…We formulate a general deterministic model for male and female rodents consisting of eight differential equations, four for females and four for males. …”
Get full text

Ion homeostasis in the regulation of intracellular pH and volume of human erythrocytes by О. І. Доценко, Г. В. Тарадіна

“…Material and Methods: The mathematical model was developed using general approaches to modeling cellular metabolism, which are based on systems of ordinary differential equations describing metabolic reactions, passive and active ion fluxes. …”
Get full text

Computational analysis of thermo-solutal Marangoni convective unsteady stagnation point flow of tetra hybrid nanofluid past rotating sphere with activation energy by Munawar Abbas, Hawzhen Fateh M. Ameen, Jihad Younis, Nargiza Kamolova, Ebenezer Bonyah, Hafiz Muhammad Ghazi

“…Using the proper similarity variables, ordinary differential equations (ODEs) are generated from the nonlinear governing equations. …”
Get full text

Displacement of hydrocarbon liquids by water using the models of zonally heterogeneous deformable formations by Marat Ya. Khabibullin, Rustem I. Suleymanov, Razifa R. Stepanova, Alina Az. Gizzatullina, Arsen M. Khabibullin

“…It is known that the motion of two-phase hydrocarbon systems in deformable reservoirs is represented by complex nonlinear partial differential equations. An analytical solution of such equations is possible only with the use of special approaches. …”
Get full text

Understanding biofilm--phage interactions in cystic fibrosis patients using mathematical frameworks by Emerenini Blessing O., Hartung Doris, Reyes Grimaldo Ricardo N. G., Canner Claire, Williams Maya, Agyingi Ephraim, Osgood Robert

“…To evaluate the effectiveness of phage therapy against biofilm bacteria, we create a phage-biofilm model with ordinary differential equations and a stochastic model. We considered three possible cases for the stability of disease-free equilibrium; by model simulations and parameter alterations in both models, we investigated the effect of bacteria–phage interactions alongside biofilm bacteria cell detachment from the biofilm phase to the planktonic phase, and how these will affect the efficiency of phage therapy against bacteria. …”
Get full text

Double diffusive MHD stagnation point flow of second grade fluid in non-Darcy porous media under radiation effects by Walid Aich, Amir Abbas, Adebowale Martins Obalalu, Walid Hassen, Lotfi Ben Said, Rejab Hajlaoui, Lioua Kolsi

“…Mathematical models are developed for the current situation and translated into a set of ordinary differential equations that are solved using MATLAB’s bvp4c. …”
Get full text

Mean field limits of co-evolutionary signed heterogeneous networks by Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu

“…The approach is based on our formulation of a generalisation of the co-evolutionary network as a hybrid system of ODEs and measure differential equations parametrised by a vertex variable, together with an analogue of the variation of parameters formula, as well as the generalised Neunzert’s in-cell-particle method developed in [Kuehn, Xu. …”
Get full text

Computational analysis for efficient thermal transportation of ternary hybrid nanofluid flow across a stretching sheet with Cattaneo-Christov heat flux model by Wei Li, Shan Ali Khan, Muhammad Shafqat, Qamar Abbas, Taseer Muhammad, Muhammad Imran

“…The phenomenon were designed as partial differential equations. These are condensed to system of ODEs via similarity transformations. …”
Get full text