Results 91 to 100 of about 570,809 (200)

Approximate analytical solution for mathematical models of thermal ignition and non-isothermal catalytic zero order reaction in a spherical geometry

Journal of King Saud University: Engineering Sciences, 2019
In this paper an approximate analytical solution for the Frank-Kamenetskii equation modeling thermal ignition without the depletion of the combustibles in a spherical annulus and non-isothermal zero order reaction in spherical catalyst particle is ...
Moustafa Aly Soliman
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Homoclinic, Subharmonic and Superharmonic Bifurcations for a Pendulum with Periodically Varying Length

, 2014
Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the simplest model of child's swing.
Belyakov, Anton O., Seyranian, Alexander P.   +1 more
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Approximate analytical solutions of MHD viscous flow

Journal of Naval Architecture and Marine Engineering, 2016
The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet caused by boundary layer of an incompressible viscous flow. The governing three partial differential equations of momentum equations are reduced into ordinary differential equation (ODE) by using a classical similarity transformation ...
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Approximate Analytical Solution of Nonlinear Evolution Equations

, 2020
Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the frame-work of Korteweg-de Vries (KdV), damped force Korteweg-de Vries (DFKdV), damped force modified Korteweg-de Vries (DFMKdV) and damped forced Zakharov-Kuznetsov (DFZK) equations in an unmagnetized collisional dusty plasma consisting of negatively charged dust
Laxmikanta, Mandi,, Kaushik, Roy,, Prasanta, Chatterjee,   +2 more
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Analytical Study of the Tumbling Motions of Vehicles Entering Planetary Atmospheres [PDF]

The tumbling motion of vehicles entering planetary atmospheres is analyzed. A differential equation governing the tumbling motion, its arrest, and the subsequent oscillatory motion is obtained and identified as the equation for the fifth Painleve ...
Tobak, Murray
core   +1 more source

Reproducing kernel methods for solving linear initial-boundary-value problems

Electronic Journal of Differential Equations, 2008
In this paper, a reproducing kernel with polynomial form is used for finding analytical and approximate solutions of a second-order hyperbolic equation with linear initial-boundary conditions.
Li-Hong Yang, Yingzhen Lin
doaj  

Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method

Partial Differential Equations in Applied Mathematics
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.
Md. Asaduzzaman, Faruk Özger, Adem Kilicman   +2 more
doaj   +1 more source

Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method

Advances in Mathematical Physics
This manuscript presents a comprehensive exploration of the nonlinear charged particle oscillation equation, employing the Laplace–Adomian decomposition method (LDM) to obtain approximate analytical solutions.
Omar Alomari, Bashar F. Garalleh, Emad K. Jaradat, Behzad Omidi Koma   +3 more
doaj   +1 more source

Physics of heat pipe rewetting [PDF]

Although several studies have been made to determine the rewetting characteristics of liquid films on heated rods, tubes, and flat plates, no solutions are yet available to describe the rewetting process of a hot plate subjected to a uniform heating.
Chan, S. H.
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Approximate analytic solutions of nonlinear integral equations

, 2021
Bu tezde doğrusal olmayan integral denklemler, doğrusal olmayan integral denklem sistemleri, integro-diferansiyel denklemler incelenmiş, bu denklemlerin çözümlerinin varlık ve tekliği Lipschitz sürekli çekirdekler için araştırılmıştır. Doğrusal olmayan integral denklemlerin ve denklem sistemlerinin çözümü için analitik bir yöntem olan He'nin ...
openaire   +1 more source