Boussinesq type equations have been widely studied to model the surface water wave. In this paper, we consider abcd system which is a family of including many well-known models such as classical system, BBM-BBM Bona-Smith etc. We propose local discontinuous Galerkin (LDG) methods, with carefully chosen numerical fluxes, numerically solve system. The main focus paper rigorously establish priori ...

Keywords: KP–BBM-II equations Crank–Nicholson method Finite difference scheme Convergence Stability a b s t r a c t In this paper, the finite difference method is employed to solve Kadomtsev–Petviashvili– Benjamin–Bona–Mahony II (KP–BBM-II) partial differential equations. The time and space variable are discretized by the Crank–Nicholson method and the central-difference scheme, respectively. T...

Abstract We study the distance between two rightmost particles in branching Brownian motion. Derrida and second author have shown that long-time limit d 12 of this random variable can be expressed terms PDEs related to Fisher–KPP equation. use such a representation determine sharp asymptotics a)$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="...

In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.

This paper obtains the solitary wave, shock wave as well as singular soliton solutions to the generalized OstrovskyBenjamin-Bona-Mahoney (gO-BBM) equation. The ansatz method is applied to obtain the solutions. Several constraint conditions for the parameters are derived that establish the existence of the soliton solutions.

Kebijakan untuk menggunakan aplikasi MyPertamina dalam pembelian Bahan Bakar Minyak (BBM) bersubsidi dimulai pada tanggal 1 Juli 2022. Hingga 17 Agustus 2022, kebutuhan yang besar terhadap BBM di masyarakat membuat kebijakan ini menjadi perhatian. Pengembang dapat memperbaiki serta memperbarui sesuai dengan keluhan dan ulasan pengguna. Penelitian bertujuan memetakan permasalahan ada banyak dike...