Chemical Engineering > GATE 2021 > Numerical Methods for ODE
An ordinary differential equation (ODE), dy/dx=2y, with an initial condition y(0)=1, has the analytical solution y=e2x.
Using Runge-Kutta second order method, numerically integrate the ODE to calculate y at x=0.5 using a step size of h=0.5
If the relative percentage error is defined as, ε=| (yanalytical-ynumerical)/yanalytical | × 100
then the value of ε at x=0.5 is
Using Runge-Kutta second order method, numerically integrate the ODE to calculate y at x=0.5 using a step size of h=0.5
If the relative percentage error is defined as, ε=| (yanalytical-ynumerical)/yanalytical | × 100
then the value of ε at x=0.5 is
Correct : d
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