Validation of Infinite Impulse Response Multilayer Perceptron for Modelling Nuclear Dynamics by F. Cadini, E. Zio, N. Pedroni

“…The comparison is made with respect to the nonlinear dynamics of a nuclear reactor as investigated by IIR-MLP in a previous paper. …”
Get full text

An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative by Hossein Aminikhah, Nasrin Malekzadeh

“…The concept of new algorithm is introduced briefly, and NHPM is examined for two systems of nonlinear Burgers' equation. In this approach, the solution is considered as a power series expansion that converges rapidly to the nonlinear problem. …”
Get full text

Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime by Jie Yang, Xia Ma, Caiyun Liu

“…In particular, the critical curve for exponents p,q in nonlinear terms in this problem is same as the critical curve for a weakly coupled system of semilinear wave equations with power nonlinearities. …”
Get full text

The Extended Trial Equation Method for Some Time Fractional Differential Equations by Yusuf Pandir, Yusuf Gurefe, Emine Misirli

“…Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. …”
Get full text

Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles by Xiuwang Wang, Jalil Manafian, Wayan Eka Mahendra, Azher M. Abed, Mustafa Z. Mahmoud, Guizhen Liang

“…The damped sinusoidal oscillations for two cases of the nonlinear wave ordinary differential equation will be studied. …”
Get full text

A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders by Young Ik Kim, Young Hee Geum

“…We construct a biparametric family of fourth-order iterative methods to compute multiple roots of nonlinear equations. This method is verified to be optimally convergent. …”
Get full text

Analysis of a Fractional-Order Couple Model with Acceleration in Feelings by Ilknur Koca, Nuri Ozalp

“…A fractional-order nonlinear dynamical model of couple has been introduced. …”
Get full text

On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order by Angelo Marcelo Tusset, Frederic Conrad Janzen, Rodrigo Tumolin Rocha, Jose Manoel Balthazar

“…The dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. …”
Get full text

Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method by Salem Alkhalaf

“…We construct a new efficient recurrent relation to solve nonlinear Brusselator system of equations. It is observed that the method is easy to implement and quite valuable for handling nonlinear system of partial differential equations and yielding excellent results at minimum computational cost. …”
Get full text

An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform by Devendra Kumar, Jagdev Singh, A. Kılıçman

“…The nonlinear terms can be easily handled by the use of He’s polynomials. …”
Get full text

On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions by Chanon Promsakon, Nattapong Kamsrisuk, Sotiris K. Ntouyas, Jessada Tariboon

Get full text

Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation by Wen-guang Cheng, Biao Li, Yong Chen

Get full text

Analysis of Fractional Differential Equations with the Help of Different Operators by Naveed Iqbal, Moteb Fheed Saad Al Harbi, Saleh Alshammari, Shamsullah Zaland

“…This study uses an Elzaki decomposition method with two fractional derivatives to solve a fractional nonlinear coupled system of Whitham-Broer-Kaup equations. …”
Get full text

Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval by Lixin Tian, Qingwen Yuan, Lizhen Wang

Get full text

Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions by Suphawat Asawasamrit, Jessada Tariboon, Sotiris K. Ntouyas

“…By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. …”
Get full text

A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation by Xi-zhong Liu, Zhi-Mei Lou, Xian-Min Qian, Lamine Thiam

Get full text

Impact of Plastic Hinge Properties on Capacity Curve of Reinforced Concrete Bridges by Nasim Shatarat, Mutasem Shehadeh, Mohammad Naser

“…Pushover analysis is becoming recently the most practical tool for nonlinear analysis of regular and irregular highway bridges. …”
Get full text

Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions by M. Mohammadi, A. R. Vahidi, T. Damercheli, S. Khezerloo

“…In the present work, a new approximated method for solving the nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. …”
Get full text

Finite Difference Computation of Au-Cu/Magneto-Bio-Hybrid Nanofluid Flow in an Inclined Uneven Stenosis Artery by H. Thameem Basha, Karthikeyan Rajagopal, N. Ameer Ahammad, S. Sathish, Sreedhara Rao Gunakala

“…The present study addresses the fluid transport behaviour of the flow of gold (Au)-copper (Cu)/biomagnetic blood hybrid nanofluid in an inclined irregular stenosis artery as a consequence of varying viscosity and Lorentz force. The nonlinear flow equations are transformed into dimensionless form by using nonsimilar variables. …”
Get full text

Fractional-Order Modeling and Analysis of a Variable Structure Hybrid Energy Storage System for EVs by Jianlin Wang, Dan Xu, Jiahui Zhou, Jinlu Mao

“…Since the hybrid energy storage system is a nonlinear and complex system, the modeling of the system and the high-precision nonlinear control strategy are technical difficulties for research. …”
Get full text