Results 31 to 40 of about 82 (55)
A New Approach for Solving Fredholm Integro-Differential Equations [PDF]
, 2021 In the present article, we extend the optimal auxiliary function method (OAFM) to integro-differential equations. The method has especially contained the auxiliary function and convergence control parameters that accelerate the methods convergence.
Abdel-Aty, A. +6 more
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A NEW TECHNIQUE FOR APPROXIMATE SOLUTION OF FRACTIONAL-ORDER PARTIAL DIFFERENTIAL EQUATIONS
, 2021 In the present paper, the optimal auxiliary function method (OAFM) has been extended for the first time to fractional-order partial differential equations (FPDEs) with convergence analysis.
KOTTAKKARAN SOOPPY NISAR +3 more
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DYNAMIC ANALYSIS OF A NANOBEAM UNDER THE INFLUENCE OF AN ELECTROMAGNETIC ACTUATOR AND A MECHANICAL IMPACT [PDF]
The Optimal Auxiliary Functions Method (OAFM) is applied in the study of nonlinear vibration of a nanobeam, considering the curvature of the beam, the presence of an electromagnetic actuator and a mechanical impact.
Herisanu, Nicolae +2 more
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Efficient approximate analytical technique to solve nonlinear coupled Jaulent–Miodek system within a time-fractional order [PDF]
In this article, we considered the nonlinear time-fractional Jaulent–Miodek model (FJMM), which is applied to modeling many applications in basic sciences and engineering, especially physical phenomena such as plasma physics, fluid dynamics ...
Hegagi Mohamed Ali +3 more
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Numerical method for the solution of high order Fredholm integro-differential difference equations using Legendre polynomials [PDF]
This research paper deals with the numerical method for the solution of high-order Fredholm integro-differential difference equations using Legen-dre polynomials. We obtain the integral form of the problem, which is transformed into a system of algebraic
G. Ajileye +3 more
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MathematicsThe main aim of our paper is concerning the damped oscillations of 3D dynamical systems, depending on a single physical parameter. This system does not admit Hamilton–Poisson structure but can be explicitly integrated, and the exact parametric solutions ...
Remus-Daniel Ene +3 more
doaj +1 more source
, 2023 This study addresses the nonlinear forced vibration of a functionally graded (FG) nanobeam subjected to mechanical impact and electromagnetic actuation.
Bogdan Marinca +2 more
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MathematicsThe dynamic model and nonlinear forced vibration of a laminated beam with magnetostrictive layers, embedded on a nonlinear elastic Winkler–Pasternak foundation, in the presence of an electromagnetic actuator, mechanical impact, dry friction, a ...
Bogdan Marinca +2 more
doaj +1 more source
Towards stimuli-responsive functional nanocomposites: Smart tunable plasmonic nanostructures au-v02 [PDF]
, 2010 Magister Philosophiae - MPhilThe fascinating optical properties of metallic nanostructures, dominated by collective oscillations of free electrons known as plasmons, open new opportunities for the development of devices fabrication based on noble metal
Kama Kama, Jean Bosco
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A novel approach to solving nonlinear fractional wave-like differential equations
Arab Journal of Basic and Applied SciencesThe optimal auxiliary function method (OAFM) is applied in this research paper to find analytical solutions to fractional-order strongly nonlinear wave-like differential equations with variable coefficients.
Ibrahim Mahariq +6 more
doaj +1 more source