广东第二师范学院学报
廣東第二師範學院學報
엄동제이사범학원학보
Journal of Guangdong Education Institute
2011年
3期
44~47
,共null页
非线性偏微分方程 傅立叶变换 数值解
非線性偏微分方程 傅立葉變換 數值解
비선성편미분방정 부립협변환 수치해
nonlinear partial differential equations; Fourier transform; numerical solution
非线性偏微分方程数值求解在物理和数学上是一项基础工作.通过应用傅立叶变换得到一种原理简单、收敛快速的迭代方法.这种迭代方法易于学生掌握和使用,能应用在matlab程序设计、数值分析、计算机辅助教学等课程教学中,有助于学生初步掌握非线性偏微分方程迭代求解方法的学习.
非線性偏微分方程數值求解在物理和數學上是一項基礎工作.通過應用傅立葉變換得到一種原理簡單、收斂快速的迭代方法.這種迭代方法易于學生掌握和使用,能應用在matlab程序設計、數值分析、計算機輔助教學等課程教學中,有助于學生初步掌握非線性偏微分方程迭代求解方法的學習.
비선성편미분방정수치구해재물리화수학상시일항기출공작.통과응용부립협변환득도일충원리간단、수렴쾌속적질대방법.저충질대방법역우학생장악화사용,능응용재matlab정서설계、수치분석、계산궤보조교학등과정교학중,유조우학생초보장악비선성편미분방정질대구해방법적학습.
To solve nonlinear partial differential equation numerically is a foundation work in mathematics and physics research.A numerical method gained by applying Fourier transform in nonlinear equations and the numerical results show that the new method is simple and possesses rapid convergence rate.Nonlinear equation,for example,derives in detail the theoretical formula of the method and the correctness of it was proved by using numerical simulation.It will be beneficial to help the beginners learning and using the iterative approach.
