A Meshless Finite-Point Approximation for Solving the RLW Equation

L. Perez Pozo; R. Meneses; C. Spa; O. Duran

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A Meshless Finite-Point Approximation for Solving the RLW Equation

机译：求解RLW方程的无网格有限点逼近

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An alternative meshless finite-point method (FPM) technique for the numerical solution of the Regularized long wave (RLW) equation is presented. In this context, we derive the discretized system by combining finite difference (FD) techniques for the time derivative and FPM for the spatial derivatives. The accuracy of this alternative approach is tested with L_2, L_∞ error norms and the conservation properties of mass, energy, and momentum under the RLW equation.

机译：提出了正则化长波方程的数值求解的另一种无网格有限点法。在这种情况下，我们通过组合时间导数的有限差分（FD）技术和空间导数的FPM来组合离散化系统。在RLW方程下，使用L_2，L_∞误差范数以及质量，能量和动量的守恒性质，测试了该替代方法的准确性。

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《Mathematical Problems in Engineering》 |2012年第5期|p.47.1-47.22|共22页
作者
L. Perez Pozo; R. Meneses; C. Spa; O. Duran;
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Aula UTFSM-CIMNE, Departamento de Ingenieria Mecdnica, Universidad Ticnica Federico Santa Maria, Avenida Espana 1680, 2340000 Valparaiso, Chile;

Departamento de Matemdtica, Universidad Ticnica Federico Santa Maria, Avenida Espana 1680,2340000 Valparaiso, Chile;

Departamento de Matemdtica, Universidad Ticnica Federico Santa Maria, Avenida Espana 1680,2340000 Valparaiso, Chile;

Escuela de Ingenieria Mecdnica, Pontificia Universidad Catdlica de Valparaiso, Los Carrera 01567, Quilpue, 2430120 Valparaiso, Chile;

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1. A Meshless Finite-Point Approximation for Solving the RLW Equation [J] . L.Pérez Pozo, R.Meneses, C.Spa, Mathematical Problems in Engineering: Theory, Methods and Applications . 2012,第5期

机译：求解RLW方程的无网格有限点逼近
2. Numerical Solutions of the General Rosenau—RLW Equation Using Meshless Kernel Based Method of Lines [J] . Murat Ar?, Y?lmaz Dereli Journal of Physics: Conference Series . 2016,第1期

机译：基于无网格核线法的一般Rosenau-RLW方程的数值解
3. Solving the Space -Time Fractional RLW and MRLW Equations Using Modified Extended Tanh Method with the Riccati Equation [J] . Kamal R. Raslan, Khalid K. Ali, Muhannad A. Shallal British Journal of Mathematics & Computer Science . 2017,第4期

机译：使用带有Riccati方程的改进扩展Tanh方法求解时空分数RLW和MRLW方程
4. A Meshless Regularized Integral Equations Method (MRIEM) for Solving the Laplace Equation in the Doubly-Connected Domain [C] . Chein-Shan Liu Second Asia-Pacific International Conference on Numerical Methods in Engineering 2006 (ICOME 2006) . 2006

机译：求解双连通域拉普拉斯方程的无网格正则积分方程方法（MRIEM）
5. Meshless Methods for Numerically Solving Boundary Value Problems of Elliptic Type Partial Differential Equations [D] . Choi, Minhwa 2018

机译：数值求解椭圆型偏微分方程边值问题的无网格方法
6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

机译：基于移动克里格插值的无网格局部Petrov-Galerkin方法求解时间分数Navier-Stokes方程
7. A Meshless Finite-Point Approximation for Solving the RLW Equation [O] . L. Pérez Pozo, R. Meneses, C. Spa, 2012

机译：求解RLW方程的无线有限点近似
8. Project SQUID. Equations of a Simple Flame Solved by Successive Approximations to the Solution of an Integral Equation. I. First Order Reaction. II. Second Order Reaction. III. A Simple Ideal Non-Branching Chain Reaction Flame. IV [R] . Klein, G. 1955

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A Meshless Finite-Point Approximation for Solving the RLW Equation

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