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UCB - MCD4550 - Engineering Numerical Analysis - Trimester 2 - 2025
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The global truncation error for the midpoint’s method scales with?
Which of the following is a predictor-corrector step method that uses Euler’s method as a predictor step with a full step size?
Which of the following is an in-built MATLAB function for solving ODEs?
Calculate y(0.6) value for the following ODE using Heun’s method given y(0)=0 and h=0.3?
What is the value of dy/dx at x = 0.4 for the following ODE using Heun's method given y(0)=0 and h=0.2?
The global truncation error for Heun’s method scales with?
The value of y(0.9) using Euler's method for the given ODE for a step size of h=0.3 is approximately
To solve the following ODE by Euler's method, you need to rewrite the equation as
The global truncation error for Euler’s method scales with?
Scenario 1: You integrate the function f(x) from 20 to 70 using 201 points and the compositetrapezoidal method and then repeat the integration with 1001 points in order to reduce theglobal truncation error.
Scenario 2: You integrate the same function f(x) from 0 to 120 using 201 points and thecomposite Simpson’s 1/3 method. If you repeat this integration but with a different number ofpoints, what is the minimum number of points would you need to get at least the same relativereduction in global truncation error as in the first scenario?