Results 51 to 60 of about 3,173,665 (255)

Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method

Advances in Mathematical Physics, 2015
This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method.
Fei Xu, Yixian Gao, Weipeng Zhang
doaj   +1 more source

Continuous Dependence for the Boussinesq Equations under Reaction Boundary Conditions in R²

Mathematics, 2022
In this paper, we studied the continuous dependence result for the Boussinesq equations. We considered the case where Ω was a bounded domain in R2. Temperatures T and C satisfied reaction boundary conditions.
Jincheng Shi, Yan Liu
doaj   +1 more source

White-Noise-Driven KdV-Type Boussinesq System

Mathematics
The white-noise-driven KdV-type Boussinesq system is a class of stochastic partial differential equations (SPDEs) that describe nonlinear wave propagation under the influence of random noise—specifically white noise—and generalize features from both the ...
Aissa Boukarou, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Sultan S. Alodhaibi   +4 more
doaj   +1 more source

Hyperbolic rational solutions to a variety of conformable fractional Boussinesq-Like equations

Nonlinear Engineering, 2019
The aim of this paper is to investigate hyperbolic rational solutions of four conformable fractional Boussinesq-like equations using the method of exponential rational function (ERF).
Rezazadeh Hadi, Osman M.S., Eslami Mostafa, Mirzazadeh Mohammad, Zhou Qin, Badri Seyed Amin, Korkmaz Alper   +6 more
doaj   +1 more source

Numerical Simulation and Analysis of Heat Transfer Characteristics in Gradient‐Porosity Foam Copper Composite Phase Change Materials

Energy Science &Engineering, EarlyView.
This study investigates the heat transfer characteristics of copper‐foam composite phase change materials with different gradient porosities. Three models with uniform porosity and three models with gradient porosities are developed to examine their effects on temperature distribution and melting behavior. ABSTRACT Phase change materials (PCMs) exhibit
Wei Yang, Chenchen Bao, Guofeng Zhou, Yuxi Qiao, Ruiling Yu, Manfeng Li, Linlin Zhang   +6 more
wiley   +1 more source

Boussinesq-Like Equations: A Class of Soliton Solutions Occurs in Coastal and Ocean Engineering

Journal of Mathematics
The Boussinesq equation describes water with small amplitudes and long waves, which is one of the most famous nonlinear evolution equations. Boussinesq-type equations have become crucial for predicting wave transformations in coastal areas since ...
Dilara A. Koç, Hajar F. Ismael, Hasan Bulut, Nehad Ali Shah, Shams Forruque Ahmed   +4 more
doaj   +1 more source

Application of the generalized double reduction method to the (1+1)-dimensional Kaup–Boussinesq (K–B) system: Exploiting Lie symmetries and conservation laws

Partial Differential Equations in Applied Mathematics
This paper explores the application of the generalized double reduction method to the (1+1)-dimensional Kaup–Boussinesq system, which models nonlinear wave propagation.
Molahlehi Charles Kakuli
doaj   +1 more source

Conservation laws for a Boussinesq equation.

Applied Mathematics and Nonlinear Sciences, 2017
Abstract In this work, we study a generalized Boussinesq equation from the point of view of the Lie theory. We determine all the low-order conservation laws by using the multiplier method. Taking into account the relationship between symmetries and conservation laws and applying the multiplier method to a reduced ordinary differential
Gandarias, María Luz, Bruzón, María Santos   +1 more
openaire   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, EarlyView.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Exp-function method for the conformable space-time fractional STO, ZKBBM and coupled Boussinesq equations

Arab Journal of Basic and Applied Sciences, 2019
In the present paper, new analytical solutions for the conformable space-time fractional Sharma-Tasso-Olever (STO), Zakharov Kuznetsov Benjamin Bona Mahony (ZKBBM) and coupled Boussinesq equations are obtained by using the Exp-function method.
H. Yaslan, A. Girgin
semanticscholar   +1 more source