微分方程式の新しい数値計算技法「HIDM」

常微分方程式への適用

抄録

A new numerical method named HIDM (higher order implicit difference method) is developed. The HIDM can solve general forms of differential equation
L_i (ψ₁, ψ₂, ……, ψ_N, ψ'₁, ψ'₂, ……, ψ'_N, t) = 0 (i=1, 2, ……, N),
including stiff ordinary differential equations. Good performance of the HIDM is shown by several numerical examples.