A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
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DOI: 10.1002/mma.4414
Abstract: The key purpose of the present work is to constitute a numerical scheme based on q-homotopy analysis transform method to examine the fractional model of regularized long-wave equation. The regularized long-wave equation explains the shallow… read more here.
Keywords: analysis; fractional model; regularized long; long wave ... See more keywords
Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
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DOI: 10.1002/mma.6343
Abstract: This study explores the fractional damped generalized regularized long‐wave equation in the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With the aid of fixed‐point theorem in the Atangana‐Baleanu fractional derivative with Mittag‐Leffler–type kernel, we… read more here.
Keywords: wave equation; long wave; regularized long; atangana baleanu ... See more keywords
Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation
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DOI: 10.1007/s00009-019-1361-7
Abstract: This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularized long-wave-type equations. It is shown that a traveling wave may be stable or unstable depending on the range… read more here.
Keywords: regularized long; stability instability; long wave; symmetric regularized ... See more keywords
Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation
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DOI: 10.1080/00207160.2020.1792451
Abstract: A higher-order uncoupled finite difference scheme is proposed and analysed to approximate the solutions of the symmetric regularized long-wave equation. The finite difference technique preserving the global conservation laws precisely on any time-space regions gives… read more here.
Keywords: order; higher order; scheme; regularized long ... See more keywords
Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation
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DOI: 10.3906/mat-1804-55
Abstract: In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometric B-spline… read more here.
Keywords: long wave; quartic trigonometric; trigonometric spline; wave equation ... See more keywords
A Good Numerical Method for the Solution of Generalized Regularized Long Wave Equation
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DOI: 10.5539/mas.v11n6p72
Abstract: The generalized regularized long wave equation is very important that can be applied in the field of physics, science and technology. Some authors have put forward many different numerical method, but the precision is not… read more here.
Keywords: numerical method; method; regularized long; long wave ... See more keywords