[HTML][HTML] Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity

MMA Khater, SA Salama - Journal of Ocean Engineering and Science, 2022 - Elsevier
This article studies novel soliton wave solutions of the nonlinear fractional ill-posed
Boussinesq (NLFIPB) dynamic wave equation by applying the extended Riccati-expansion …

[HTML][HTML] A Conservative and Compact Finite Difference Scheme for the Sixth-Order Boussinesq Equation with Surface Tension

X Wang, W Dai, A Biswas - Mathematical and Computational Applications, 2024 - mdpi.com
In this study, we propose a conservative and compact finite difference scheme designed to
preserve both the mass change rate and energy for solving the sixth-order Boussinesq …

An approximate solution of singularly perturbed problem on uniform mesh

D Arslan, E Çelik - An International Journal of Optimization and Control …, 2024 - ijocta.org
In this study, we obtain approximate solution for singularly perturbed problem of differential
equation having two integral boundary conditions. With this purpose, we propose a new …

Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method

Y Altun - MANAS Journal of Engineering, 2021 - dergipark.org.tr
In this manuscript, we consider the first order neutral Volterra integro-differential equation
(NVIDE) with delay argument. Firstly, we obtain novel sufficient conditions to establish the …

The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM

D Arslan - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2021 - dergipark.org.tr
In this study, reduced differential transform method (RDTM) is proposed to solve singularly
perturbed Burger-Huxley partial differential equation. Firstly, this equation is transformed to …

Effect of Diffusion Parameters on Traveling Wave Solutions of Singular Perturbed Boussinesq Equation

A Yokuş, H Durur, MH Ekici - Available at SSRN 4957998 - papers.ssrn.com
This paper focuses on the nature of the traveling wave solutions of the singular perturbed
(sixth-order) Boussinesq equation, which is important for the physical relationships of water …