CAJ | 학술논문

对一类广义对称正则长波(GSRLW)方程的初边值问题进行了数值研究,提出了一个三层拟紧致平均隐式差分格式,格式模拟了初边值问题的守恒性质,得到了差分解的存在唯一性,并利用离散泛函分析方法分析了该格式的二阶收敛性与稳定性.数值结果表明,该格式的精度明显好于一般的二阶格式.
대일류엄의대칭정칙장파(GSRLW)방정적초변치문제진행료수치연구,제출료일개삼층의긴치평균은식차분격식,격식모의료초변치문제적수항성질,득도료차분해적존재유일성,병이용리산범함분석방법분석료해격식적이계수렴성여은정성.수치결과표명,해격식적정도명현호우일반적이계격식.
This paper provides a numerical study on the initial boundary value of GSLRLW equations, proposes a three-layer pseudo-compact average implicit difference scheme which simulates the conservation property of the initial boundary value and comes to a conclusion of the existence and uniqueness of the differential solution. The author also analyzes the quadratic convergence and stability of the scheme by using the method of discrete functional analysis. The numerical results show that the accuracy of the scheme is much better than other second order schemes.