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非线性RLW方程的有限差分逼近 被引量：5

FINITE DIFFERENCE APPROXIMATE SOLUTIONS FOR THE RLW EQUATION
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摘要 §1.引言 正则长波(RLW)方程是非线性长波的另一种表述形式.在进行非线性扩散波研究时,正则长波方程(RLW)因其描述大量重要的物理现象如浅水波和离子波等而占有重要的地位. A finite difference scheme is proposed to solve the regularized long wave(RLW) equation for computational simplicity compared to finite element methods. Existence and uniqueness of numerical solutions are shown. A priori bound and the error estimates as well as conservation of energy of the finite difference approximate solutions are discussed with theory and numerical examples.
作者 冯民富 潘璐 王殿志
机构地区 四川大学数学学院
出处 《数值计算与计算机应用》 CSCD 北大核心 2003年第3期167-176,共10页 Journal on Numerical Methods and Computer Applications
关键词 非线性RLW方程 有限差分逼近 正则长波方程 CrankNicolson差分离散技巧 存在性 收敛性 BROUWER不动点定理 RLW equation, Crank-Nicolson finite difference scheme, solitary wave, finite difference approximation
分类号 O241.5 [理学—计算数学]
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参考文献16

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数值计算与计算机应用
2003年 第3期

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