常微分方程的MAtLAB解法

摘要:對(duì)一些不能求解解析解的常微分方程和偏微分方程進(jìn)行精確求解是非常困難的，探討了用MATLAB方法對(duì)此類方程進(jìn)行求解，結(jié)合實(shí)例介紹了MATLAB數(shù)值計(jì)算的方法，先將物體的運(yùn)動(dòng)微分方程轉(zhuǎn)變?yōu)橐浑A微分方程，再通過(guò)編程來(lái)進(jìn)行常微分方程的求解.結(jié)果表明用此方法可以快速精確地計(jì)算出具體數(shù)值解.
Abstract:It is dificult to find the accurate values of some ordinary differential equations and partial diferent equations that require the analytical values.This paper explores the answer to these equations by making use of MATLAB and intraduces the numerical calculation method of MATLAB in combination with examples. In this method, the diferential equation of an object'。movement is established and is converted into the first diferential equation.Then a program is made to find a value of the ordinary diferential equation. The result shows that an accurate specific value of ordinary equation can be found rapidly坊using this method.
Keyw ords:M ATLAB;p rojection;o rdinaryd iferentialeq uation;p orgram

MA TLA B 是矩陣工作室(MatrixLa boratory)的縮寫(xiě)，它是一個(gè)十分流行的通用性很強(qiáng)的數(shù)學(xué)軟件，在數(shù)學(xué)計(jì)算軟件市場(chǎng)占據(jù)著主導(dǎo)地位.工程應(yīng)用中往往伴隨著大量的數(shù)學(xué)計(jì)算，這些計(jì)算難以用手工精確和快捷地進(jìn)行，需要借助計(jì)算機(jī)編制相應(yīng)的程序做近似計(jì)算.這些需要工程人員掌握C語(yǔ)言或FORTRAN語(yǔ)言，對(duì)于大多數(shù)人來(lái)說(shuō)同時(shí)具備兩方面的技能有一定的困難.而MATLAB作為一個(gè)高效率的數(shù)值計(jì)算和可視化軟件，只要經(jīng)過(guò)短時(shí)間的學(xué)習(xí)就能學(xué)會(huì)，可以利用它輕松地完成科學(xué)計(jì)算和作圖任務(wù).