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Numerical technique for approximating differential equations
yr+1=yr+hf(xr,yr)y_{r+1} = y_r + hf(x_r, y_r)yr+1=yr+hf(xr,yr)
hhh
More accurate results
Gradient function evaluated at point (xr,yr)(x_r, y_r)(xr,yr)
y_{r+1} = y_r + rac{1}{2}(k_1 + k_2)
k1=hf(xr,yr)k_1 = hf(x_r, y_r)k1=hf(xr,yr)
k2=hf(xr+h,yr+k1)k_2 = hf(x_r + h, y_r + k_1)k2=hf(xr+h,yr+k1)
yr+1=yr−1+2hf(xr,yr)y_{r+1} = y_{r-1} + 2hf(x_r, y_r)yr+1=yr−1+2hf(xr,yr)
rac{ ext{approx} - ext{exact}}{ ext{exact}}
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