Results 11 to 20 of about 5,991,687 (297)

Approximate Analytical Solution for the Forced Korteweg-de Vries Equation [PDF]

Journal of Applied Mathematics, 2013
The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems.
Vincent Daniel David, Mojtaba Nazari, Vahid Barati, Faisal Salah, Zainal Abdul Aziz   +4 more
doaj   +2 more sources

An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

Discrete Dynamics in Nature and Society, 2019
This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the comparison of Figures and absolute error values, between approximate and numerical solutions, it is ...
U. Filobello-Nino, H. Vazquez-Leal, R. Castaneda-Sheissa, V. M. Jimenez-Fernandez, A. L. Herrera-May, J. Huerta-Chua, L. Gil-Adalid, J. E. Pretelin-Canela   +7 more
doaj   +2 more sources

A fractional model of Harry Dym equation and its approximate solution

Ain Shams Engineering Journal, 2013
The aim of present paper is to obtain the approximate analytical solution of time fractional Harry Dym equation by using homotopy perturbation method (HPM).
Sunil Kumar, Manoj P. Tripathi, Om P. Singh   +2 more
doaj   +2 more sources

Comparison of Approximate Analytical and Numerical Solutions of the Allen Cahn Equation

International Journal of Differential Equations
Allen Cahn (AC) equation is highly nonlinear due to the presence of cubic term and also very stiff; therefore, it is not easy to find its exact analytical solution in the closed form.
Safdar Hussain, Fazal Haq, Abdullah Shah, Dilsora Abduvalieva, Ali Shokri   +4 more
doaj   +2 more sources

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
doaj   +2 more sources

Analytical modeling and vibration analysis of partially cracked rectangular plates with different boundary conditions and loading [PDF]

, 2008
This study proposes an analytical model for vibrations in a cracked rectangular plate as one of the results from a program of research on vibration based damage detection in aircraft panel structures.
Israr, Asif, Trendafilova, Irina, Krawczuk, Marek, Manoach, Emil, Ostachowicz, Wieslaw, Zak, Arkadiusz, Cartmell, Matthew P.   +6 more
core   +4 more sources

Analytically approximate solutions to higher derivative gravity [PDF]

Physical Review D, 2020
We obtain analytical approximate black hole solutions for higher derivative gravity in the presence of Maxwell electromagnetic source. We construct near horizon and asymptotic solutions and then use these to obtain an approximate analytic solution using a continued fraction method to get a complete solution.
S. N. Sajadi, Robert B. Mann, N. Riazi, Saeed Fakhry   +3 more
openaire   +2 more sources

Differential transformation method for vibration of membranes [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2019
The purpose of this research is to apply the three-dimensional differential transform method to estimate solutions to the equation of motion for vibration in a membrane with certain types of boundary conditions.
Kamonpad Mansilp, Jaipong Kasemsuwan
doaj   +1 more source

Efficient Solution of Fractional-Order SIR Epidemic Model of Childhood Diseases With Optimal Homotopy Asymptotic Method

IEEE Access, 2022
In providing an accurate approximate analytical solution to the non-linear system of fractional-order susceptible-infected-recovered epidemic model (FOSIREM) of childhood disease has been a challenge, because no norm to guarantees the convergence of the ...
Okundalaye Oluwaseun Olumide, Wan Ainun Mior Othman, Necati Ozdemir   +2 more
doaj   +1 more source

Analytically approximation solution to Einstein-Cubic gravity

The European Physical Journal C, 2022
AbstractIn this work, we introduce analytical approximate black hole solutions in Einstein-Cubic gravity. To obtain complete solutions, we construct the near horizon and asymptotic solutions as the first step. Then, the approximate analytic solutions are obtained through continued-fraction expansion. We also compute the thermodynamic quantities and use
Sajadi, S., Hendi, S.
openaire   +3 more sources