MATLB在《数学物理方法》中的应用.doc

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摘要:MATLAB是最近几年传播最快、影响最大的数学类应用软件。用MATLAB求解《数学物理方法》中的一些题目,能使原来繁琐的手工计算变得简便和快速,而且可将数理方程的解及一些特殊函数以图形的形式显示出来,形象、直观、便于理解。本文以一些经典习题为例,介绍MATLAB在复变函数、积分变换、数理方程和特殊函数等方面的应用。

关键词:MATLAB;复变函数;数学物理方法;积分变换;特殊函数

 

ABSTRACT:MATLAB is mathematical application software that spreads most quickly and produces great effect in recent years. Using MATLAB to solve the problems in Methods of Mathematical Physics not only make some tedious manual computations very simple but also show the solutions of mathematical physics equations and some special functions by the graph form which makes them more vivid, visual and easier to be understood. Taking some typical problems as examples, this article introduces the applications of MATLAB on the four aspects; complex variables functions, integral transformation, equations of mathematical physics and special functions.

Key words:Matlab;Equations of mathematical physics;Complex varibles functions;Integral transformations;Special functions

 

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