function?[Snn]=ComSimpson（fabe）
%?Made?by?付林
%?Input
%?f:需要計(jì)算的積分表達(dá)式，如y=4/（1+x^2）;
%?a:為待求積分區(qū)間的下界
%?b：為待求積分區(qū)間的上界
%?e:估計(jì)的精度要求?|En（f）|%?Output
%?Sn:估計(jì)值
%?n:節(jié)點(diǎn)個(gè)數(shù)

syms?x;
%?計(jì)算復(fù)合辛普森公式的誤差：En（f）=-（b-a）^5/2880*n^4*f（4）（ζ）
%?計(jì)算函數(shù)表達(dá)式f的四階導(dǎo)數(shù)f4
f4=diff（f4）;
%?計(jì)算f（4）（ζ）時(shí)，x在區(qū)間[ab]上的間距為s
s=（b-a）/10000;
%?計(jì)算f（4）（ζ）在區(qū)間[ab]上的最大值
Max=abs（max（subs（f4xa:s:b）））;
%?|En（f）|%?將為sym類型的Max轉(zhuǎn)化為double型
Max=double（Max）;
%?計(jì)算劃分節(jié)點(diǎn)數(shù)
n=ceil（（（b-a）^5*Max/（2880*e））^（1/4））;
%?每個(gè)劃分節(jié)點(diǎn)的x值為X
X=linspace（abn）;
%?計(jì)算每個(gè)間距
h=（b-a）/（n-1）;
%?將函數(shù)表達(dá)式f轉(zhuǎn)化為matlab函數(shù)Y進(jìn)行直接調(diào)用
Y=matlabFunction（f）;
%?計(jì)算每個(gè)X節(jié)點(diǎn)的y值
y=Y（X）;
%?復(fù)合辛普森計(jì)算公式
Sn=（y（1）+4*sum（y（2:2:n-1））+2*sum（y（3:2:n-1））+y（n））*h/3;

?屬性????????????大小?????日期????時(shí)間???名稱
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?????文件????????861??2017-12-21?20:38??ComSimpson\ComSimpson.m

?????文件????????845??2017-12-17?09:43??ComSimpson\ComSimpson_1.m

?????文件????????786??2017-12-21?20:35??ComTrapz\ComTrapz.m

?????文件????????810??2017-12-16?23:44??ComTrapz\ComTrapz_1.m

?????文件????????618??2017-12-16?23:29??ComTrapz\ComTrapz_2.m

?????文件????????584??2017-12-16?22:46??ComTrapz\ComTrapz_3.m

?????文件???????1062??2017-11-29?00:44??NewtonInt\NewtonInt.m

?????文件???????1064??2017-11-29?00:40??NewtonInt\NewtonInt_1.m

?????文件???????1039??2017-12-21?18:55??NewtonRoots\NewtonRoots.m

?????文件??????14337??2017-12-02?11:13??PolyFit\PolyFit.jpg

?????文件???????1234??2017-12-21?20:34??PolyFit\PolyFit.m

?????文件???????1220??2017-12-21?20:30??PolyFit\PolyFit_1.m

?????文件???????1288??2017-12-21?20:39??Romberg\Romberg.m

?????文件???????1292??2017-12-17?15:07??Romberg\Romberg_1.m

?????文件??????22320??2017-12-26?17:43??Runge-Kutta4\Runge-Kutta4.xlsx

?????文件????????780??2017-12-22?21:00??Runge-Kutta4\Runge_Kutta4.m

?????文件??????15193??2017-12-22?20:36??Runge-Kutta4\Step_0.01.jpg

?????文件??????15816??2017-12-22?21:00??Runge-Kutta4\Step_0.05（1）.jpg

?????文件??????15309??2017-12-22?20:31??Runge-Kutta4\Step_0.05.jpg

?????文件??????16160??2017-12-22?20:32??Runge-Kutta4\Step_0.1.jpg

?????文件??????16307??2017-12-22?20:59??Runge-Kutta4\Step_0.15（1）.jpg

?????文件??????15480??2017-12-22?20:35??Runge-Kutta4\Step_0.15.jpg

?????文件??????15790??2017-12-22?21:00??Runge-Kutta4\Step_0.2（1）.jpg

?????文件??????15434??2017-12-22?20:37??Runge-Kutta4\Step_0.2.jpg

?????文件???????3451??2017-12-21?20:19??Spline3\Spline3.m

?????文件??????19317??2017-12-20?21:50??Spline3\Spline3_1.jpg

?????文件???????3367??2017-12-26?15:10??Spline3\Spline3_1.m

?????文件??????19398??2017-12-26?15:01??Spline3\Spline3_11.jpg

?????文件??????21110??2017-12-20?21:51??Spline3\Spline3_2.jpg

?????文件??????21127??2017-12-26?14:59??Spline3\Spline3_21.jpg

............此處省略13個(gè)文件信息