Results 11 to 20 of about 5,620,047 (250)

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

New Approximations to Bond Prices in the Cox–Ingersoll–Ross Convergence Model with Dynamic Correlation

Mathematics, 2021
We study a particular case of a convergence model of interest rates. The bond prices are given as solutions of a parabolic partial differential equation and we consider different possibilities of approximating them, using approximate analytical solutions.
Beáta Stehlíková
doaj   +1 more source

A new analytical approximate solution of fractional coupled Korteweg-de Vries system [PDF]

Yugoslav Journal of Operations Research, 2023
The main objective of this work is to present a modification of the Mittag- Leffler function to deduce a relatively new analytical approximate method (for short MMLFM) able to solve time-fractional nonlinear partial differential equations (PDEs ...
Ali Hegagi Mohamed, Noreldeen Alaa Hassan, Ali Ali Shahat   +2 more
doaj   +1 more source

New approximate analytical technique for the solution of time fractional fluid flow models

Advances in Difference Equations, 2021
In this note, we broaden the utilization of an efficient computational scheme called the approximate analytical method to obtain the solutions of fractional-order Navier–Stokes model.
Umar Farooq, Hassan Khan, Fairouz Tchier, Evren Hincal, Dumitru Baleanu, Haifa Bin Jebreen   +5 more
doaj   +1 more source

Energy-Based Criterion for Testing the Nonlinear Response Strength of Strong Nonlinear Oscillators

Journal of Applied Sciences and Environmental Management, 2021
This article proposes a simple energy-based criterion developed to characterize four commonly identified responses, namely: linear, weakly nonlinear, moderately nonlinear and strongly nonlinear regimes.
Akuro Big-Alabo
doaj   +1 more source