function?[?sol?t?]?=?RK1（?ABX0dtt_initialt_finalorder?）
%%?Coded?by
%?Mohamed?Mohamed?El-Sayed?Atyya
%%?Inputs
%?A??????????????:?state?matix?of?the?diffrential?equations??（nxn）
%?B??????????????:?B?matix?of?the?diffrential?equations?（nx1）
%?X0????????????:?initial?condition?matix?（nx1）
%?dt?????????????:?time?step
%?t_initial????:?initial?time
%?t_final??????:?final?time
%?order???????:?n
%%?Outputs
%?sol??????????????:?the?solution?of?diffrential?equation?[x?dx/dt?d2x/dt2?...??d（order）x/dt（order）?;?t]
%?t??????????????????:?solution?time
%%?Function?body
n=（t_final-t_initial）/dt;
X（1:order1）=X0;
t（1）=t_initial;
for?m=2:ceil（n）+1
????k1=（A*X（1:orderm-1）+B）*dt;
????X（1:orderm）=X（1:orderm-1）+k1;
????t（m）=t（m-1）+dt;
end
sol=[X];
end

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件?????????779??2016-03-21?04:55??numerical?integration?functions\RK1.m
?????文件?????????826??2016-03-21?04:54??numerical?integration?functions\RK2.m
?????文件?????????878??2016-03-21?04:54??numerical?integration?functions\RK3.m
?????文件?????????916??2016-03-21?04:55??numerical?integration?functions\RK4.m
?????文件????????1164??2016-03-21?04:52??numerical?integration?functions\RK4low.m
?????文件????????1174??2016-03-21?04:54??numerical?integration?functions\RK5.m
?????文件????????1315??2016-07-25?16:50??license.txt