Best Proximity Point Theorem in Quasi-Pseudometric Spaces by Robert Plebaniak

Get full text

A Mathematical Model for the Dynamics of Income Distribution in the Presence of Production by Maria Letizia Bertotti

“…The framework is expressed in the form of a system of nonlinear ordinary differential equations, as many as the income classes are, involving transition probabilities. …”
Get full text

Conservation law of harmonic mappings in supercritical dimensions by Guo, Chang-Yu, Xiang, Chang-Lin

Get full text

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. …”
Get full text

New Exact Solutions of Burgers’ Equation Using Power Index Method by Khalil Ahmad, Khudija Bibi

“…The proposed method has been effectively employed to find new exact solutions for the nonlinear Burgers’ equation. Finally, the proposed resulting answers are compared with the homotopy perturbation, decomposition, and variational iteration solutions.…”
Get full text

A singularly perturbed HIV model with treatment and antigenic variation by Nara Bobko, Jorge P. Zubelli

“…Using Tikhonov's theorem we prove that the model can be approximated by a lower dimensional nonlinear model. Furthermore, we show that this reduced system is globally asymptotically stable by using Lyapunov's stability theory.…”
Get full text

Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption by O. D. Makinde

“…This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential equation governing the transient reaction-diffusion problem is solved numerically using a semidiscretization finite difference technique. …”
Get full text

Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions by Hui Li, Libo Wang, Minghe Pei

“…We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x′′(s))ds, x′′′(1)=0, where f∈C([0,1]×ℝ4), h∈C([0,1]×ℝ3). …”
Get full text

New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting f′(xn)=0 by Ramandeep Behl, V. Kanwar

“…Construction of higher-order optimal and globally convergent methods for computing simple roots of nonlinear equations is an earliest and challenging problem in numerical analysis. …”
Get full text

Analysis of Various Damping Models in The Simulation of the Seismic Response of Structures in the STARK ES Software by V. N. Simbirkin, Yu. V. Panasenko, V. V. Kurnavin

“…These are the models of nonlinear viscous dampers, in which the reactive force depends non-linearly on the velocity of the rod movement, equivalent (for an energy dissipated) linear-viscous dampers and equivalent (for a maximum force and an energy dissipated) elastic – perfectly plastic elements. …”
Get full text

A Memory-Based Hysteresis Model in Piezoelectric Actuators by Guilin Zhang, Chengjin Zhang, Jason Gu

“…Therefore, two, dominant curves are determined and expressed as continuous functions, and the other hysteresis curves are modeled using two dominant curves through nonlinear transforming of coordinate axis. In the event of memory saturation, a new converging point is used to compensate the model prediction error. …”
Get full text

Optimal Control for a Parallel Hybrid Hydraulic Excavator Using Particle Swarm Optimization by Dong-yun Wang, Chen Guan

“…Then, the optimal control problem is addressed, and PSO algorithm is introduced to deal with this nonlinear optimal problem which contains lots of inequality/equality constraints. …”
Get full text

Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity by M. B. K. Moorthy, K. Senthilvadivu

“…The governing equations of continuity, momentum, energy, and concentrations are transformed into nonlinear ordinary differential equations, using similarity transformations, and then solved by using Runge-Kutta-Gill method along with shooting technique. …”
Get full text

Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations by Sohrab Bazm, Fatemeh Pahlevani

“…This approach transforms the integral equation into a set of nonlinear algebraic equations, which can be efficiently solved by employing standard numerical methods like Newton's method or Picard iteration. …”
Get full text

Implementation of a Fuzzy TSK Controller for a Flexible Joint Robot by M. E. Akbari, M. A. Badamchizadeh, M. A. Poor

“…The flexibility of joint is performed by means of a solenoid nonlinear spring, which is connected between actuator output and joint input in a bilateral connection form to transfer the produced torque; also the smooth model of frictions is used for modeling the dynamics of flexible manipulator. …”
Get full text

Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators by Gerold Baier, Sven Sahle

“…We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. …”
Get full text

An Optimal Operating Strategy for Battery Life Cycle Costs in Electric Vehicles by Yinghua Han, Jinkuan Wang, Qiang Zhao, Peng Han

“…Under the assumptions, the proposed operating strategy for battery is formulated as a nonlinear optimization problem considering reliability and failure number. …”
Get full text

In Search of Chaos and Complexity of a Cognitive Language-Learning System by Gaofei Luo, Sayan Mukherjee

“…The whole analysis can be effective to understand the dynamical features and nonlinear structure of the cognitive language-learning model.…”
Get full text

Optimal Maneuver Strategy of Observer for Bearing-Only Tracking in Threat Environment by Renke He, Shuxin Chen, Hao Wu, Zhuowei Liu, Jianhua Chen

“…The optimal maneuver of observer for bearing-only tracking (BOT) in a threat environment is a complex problem which involves nonlinear filtering, threat avoidance, and optimal maneuver strategy. …”
Get full text

Multiple Slip Effects on MHD Unsteady Flow Heat and Mass Transfer Impinging on Permeable Stretching Sheet with Radiation by Fazle Mabood, Stanford Shateyi

“…Suitable similarity variables are used to transform governing partial differential equations into a system of coupled nonlinear ordinary differential equations. The transformed equations are then solved numerically by applying an implicit finite difference method with quasi-linearization technique. …”
Get full text