ON THE THIRD ORDER SOLUTION OF KdV EQUATION BY USING HOMOTOPY PERTURBATION METHOD
Barekeng, 2023 In this research we discussed about the solution of the KdV equation using Homotopy Perturbation method. The KdV equation that describing water wave equation solved by using the mixing method between Homotopy and Perturbation method.
Mashuri Mashuri +2 more
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A simple second order thermodynamic perturbation theory for associating fluids
Condensed Matter Physics, 2021 An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites.
B. D. Marshall
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Stability Analysis of a Strongly Displacement Time-Delayed Duffing Oscillator Using Multiple Scales Homotopy Perturbation Method [PDF]
Journal of Applied and Computational Mechanics, 2018 In the present study, some perturbation methods are applied to Duffing equations having a displacement time-delayed variable to study the stability of such systems.
Yusry El-Dib
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Multiple solutions for a class of perturbed second-order differential equations with impulses [PDF]
Boundary Value Problems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heidarkhani, Shapour +3 more
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On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova +2 more
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Non-existence of perturbed solutions under a second-order sufficient condition
Examples and Counterexamples, 2023 We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.
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Stability Analysis of a Damped Nonlinear Wave Equation [PDF]
Journal of Applied and Computational Mechanics, 2020 The current manuscript is concerned with extracting an analytical approximate periodic solution of a damped cubic nonlinear Klein-Gordon equation. The Riemann-Liouville fractional calculus is utilized to obtain an analytic approximate solution.
Yusry O. El-Dib +2 more
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Towards Near-Exact Solutions of Molecular Electronic Structure: Full Coupled-Cluster Reduction with a Second-Order Perturbative Correction [PDF]
The Journal of Physical Chemistry Letters, 2020 We introduce a new augmented adaptation of the recently developed full coupled-cluster reduction (FCCR) with a second-order perturbative correction, abbreviated as FCCR(2). FCCR is a selected coupled-cluster expansion aimed at optimally reducing the excitation manifold and commutator expansions for high-rank excitations to obtain accurate solutions of ...
Enhua Xu +2 more
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Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems [PDF]
Differential Equations & Applications, 2017 From the introduction and summary: The aim of this paper is to investigate the existence of infinitely many periodic \[ \begin{gathered} -\ddot u(t)+ A(t) w(t)=\lambda\nabla F(t,u(t))+ \mu\nabla G(t,u(t))+\nabla H(u(t)),\quad \text{a.e. }t\in [0,T],\\ \Delta(\dot u_j(t_j))= I_{ij}(u_i(t_j)),\quad i= 1,2,\dots, N,\;j=1,2,\dots, p,\\ u(0)= u(T)=\dot u(0)-
Graef, John R. +2 more
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Second-Order Perturbation Solutions to a Liquid Pool Spreading Model with Instantaneous Spill
Chemical Engineering Transactions, 2013 Second-order perturbation solutions have been obtained for the simple physical model describing the liquid pool spreading with an instantaneous spill, and are shown to improve over the first-order perturbation solutions. The second-order solutions to the non-dimensional governing equations for the model are derived to obtain more general solutions. Non-
Myungbae Kim +4 more
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