GTU BE03000191 Numerical Methods for Electrical Engineering Old Question Papers & Solutions PDF

Most repeated questions

16 questions GTU set in two or more of 2 papers, most repeated first. Tap a year to open that paper at the question.

1. Find root of an equation $xe^x - 1 = 0$ using secant method correct to 4 significant digits.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q2c · Winter 2025 Q1c

2. Find the positive root of equation $x = \cos x$ correct up to 3 decimal places by bisection method.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q2c OR · Winter 2025 Q2b

3. Solve the following equations by Gauss-Seidel method: $4x + y + 3z = 17, \quad x + 5y + z = 14, \quad 2x - y + 8z = 12$.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q3c · Winter 2025 Q2c OR

4. Solve the following equations by Gauss-Jacobi method: $10x + y + z = 6, \ x + 10y + z = 6, \ x + y + 10z = 6$.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q3c OR · Winter 2025 Q1b

5. Use fourth order Runge-Kutta method to calculate $y(1.1)$ with $h = 0.05$ given that $y' = x - y, y(1) = 1$.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q1c · Winter 2025 Q3c

6. Using modified Euler’s method, find an approximate value of $y$ corresponding to 0.2 given that $\dfrac{dy}{dx} = 1 - y, \quad y(0) = 0$. Use step size $h = 0.1$.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q4c OR · Winter 2025 Q3b

7. Consider the initial value problem: $\dfrac{dy}{dx} = x + y^2, y(0) = 1$. Use Heun's method with step size $h = 0.1$ to approximate $y(0.2)$.

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q4c · Winter 2025 Q3c OR

8. A simple series RL circuit is excited by a constant DC voltage source V. The governing differential equation for the current $i(t)$ is given by Kirchhoff’s voltage law as:

   $$L\dfrac{di}{dt} + Ri = V$$
   where $L = 1\ H$ (induction), $R = 1\ \Omega$ (resistance) and $V = 1\ V$ (constant source) with initial condition $i(0) = 0$. Using the finite element method, determine the current $i(t)$ over the interval $t \in [0, 1]$. Use 2 linear elements and appropriate shape functions (3 nodes approximation).
   7 marksAsked in 2 of 2 papers

   Summer 2026 Q5c · Winter 2025 Q4c OR

9. Apply finite element method to solve the boundary value problem: $y'' + y = 0, y(0) = 0$ and $y(1) = 1$. (Use a single, two-node linear element)

   7 marksSame type asked in 2 of 2 papers

   Summer 2026 Q5c OR · Winter 2025 Q4c

10. In an electrical network, the mesh current equations are given as: $2x + 3y = 8, 4x + 9y = 20$ where $x$ and $y$ represent mesh currents in amperes. Using the LU decomposition method, solve for the mesh currents $x$ and $y$.

    4 marksSame type asked in 2 of 2 papers

    Summer 2026 Q1b · Winter 2025 Q2c