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Next: 2.2.2 $B8eB`(B Euler $BK!(B Up: 2.2 $B4JC1$J?tCM2rK!(B Previous: 2.2 $B4JC1$J?tCM2rK!(B

2.2.1 $BA0?J(B Euler $BK!(B (forward Euler's rule)

$BHyJ,78?t(B $ x'(t)$ $B$rA0?J:9J,>&(B

$\displaystyle \frac{x(t+h)-x(t)}{h} $

$B$G6a;w$7$F:n$C$?A22=<0(B

$\displaystyle x_{j+1}=x_j+h f(t_j,x_j)$   $\displaystyle \mbox{($j=0,1,2,\cdots$)}$

$B$G(B $ \{x_j\}_{j=0}^N$ $B$r7W;;$9$k!#(B

$B$I$3$K$G$b=P$FMh$k5p?M(B Leonhard Euler (1707-1783, $B%9%$%9$N(B Basel $B$K@8$^$l!"%m%7%"$N(B St Petersburg $B$K$FKW$9$k(B) $B$K$h$k!#(B

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Next: 2.2.2 $B8eB`(B Euler $BK!(B Up: 2.2 $B4JC1$J?tCM2rK!(B Previous: 2.2 $B4JC1$J?tCM2rK!(B
Masashi Katsurada
$BJ?@.(B23$BG/(B4$B7n(B29$BF|(B