Results 1 to 10 of about 88 (58)

An asymptotic approach to inverse scattering problems on weakly nonlinear elastic rods [PDF]

Journal of Applied Mathematics, Volume 2, Issue 8, Page 407-435, 2002., 2002
Elastic wave propagation in weakly nonlinear elastic rods is considered in the time domain. The method of wave splitting is employed to formulate a standard scattering problem, forming the mathematical basis for both direct and inverse problems. A quasi‐linear version of the Wendroff scheme (FDTD) is used to solve the direct problem.
Shinuk Kim, Kevin L. Kreider
wiley   +4 more sources

Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation

Nonlinear Engineering, 2023
In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan, Ali Mohammed, Al-Khaled Kamel, Grossman George   +3 more
doaj   +1 more source

Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

Demonstratio Mathematica, 2021
In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj   +1 more source

Transfinite methods in metric fixed‐point theory

Abstract and Applied Analysis, Volume 2003, Issue 5, Page 311-324, 2003., 2003
This is a brief survey of the use of transfinite induction in metric fixed‐point theory. Among the results discussed in some detail is the author′s 1989 result on directionally nonexpansive mappings (which is somewhat sharpened), a result of Kulesza and Lim giving conditions when countable compactness implies compactness, a recent inwardness result for
W. A. Kirk
wiley   +1 more source

Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Open Physics, 2016
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel, Pop Camelia, Petrişor Camelia   +2 more
doaj   +1 more source

Stability Problems and Analytical Integration for the Clebsch’s System

Open Mathematics, 2019
The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
doaj   +1 more source

Stability problems and numerical integration on the Lie group SO(3) × R3 × R3

Open Mathematics, 2018
The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
doaj   +1 more source

Radiation effects on rotating system free convective nanofluid unsteady flow with heat source and magnetic field

Partial Differential Equations in Applied Mathematics
The analytical investigation delves into the intricate interplay between radiation, magnetic fields, and convective nanofluid flow within a rotating system that is subject to a heat source.
Manjunatha N, M.Girinath Reddy, Ahmad Aloqaily, Sarah Aljohani, A.Rupesh Reddy, Farhan Ali, Nabil Mlaiki   +6 more
doaj   +1 more source

Impact of Newtonian heating on the conducting Casson fluid flow past a stretching cylinder

Journal of Interdisciplinary Mathematics, 2022
Swarnalata Jena, Pradyumna K Pattnaik, Kamalakanta Muduli   +2 more
exaly  

On boundary layer flow of a Sisko fluid over a stretching sheet

Quaestiones Mathematicae, 2013
Masood Khan, Azeem Shahzad
exaly