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| 摘要: |
| 本文主要研究了一类非线性Klein-Gordon方程.利用Fourier谱方法对一类非线性Klein-Gordon方程的求解,给出了求解的离散过程,并通过了数值模拟与文献结果进行了对比.结果表明这种方法对于求解此类非线性Klein-Gordon方程具有很好的效果. |
| 关键词: 非线性Klein-Gordon方程 Fourier谱方法 谱配置法 |
| DOI： |
| 分类号:O241.8 |
| 基金项目:国家自然科学基金重大项目(51190093);国家自然科学基金(51179151). |
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| THE NUMERICAL SOLUTION OF A CLASS OF NONLINEAR KLEIN-GORDON EQUETION |
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MIN Tao,REN Ju-cheng,GENG Bei
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| Abstract: |
| This paper studies a class of nonlinear Klein-Gordon equation.By using Fourier spectral method,we conduct the research on its direct problem and give the discrete process of finding solutions as well as do the numerical simulation and compare it with the result of literature.The result shows that the method has better effect on solving this kind of nonlinear Klein-Gordon equation. |
| Key words: nonlinear Klein-Gordon equation Fourier spectral method spectrum allocation method |
