Tribhuvan University
Bachelor of Computer Application
Semester 4 · TU Board 2026
Course Title: Numerical Method (CACS252)
Full Marks: 60Pass Marks: 24Time: 3 hours
Candidates are required to answer the question in their own words as far as possible.
Group B
Attempt any SIX question.(6 × 5 = 30)
- 2.5
Explain different types of errors in numerical computation with examples.
- 3.5
Apply Bisection Method to find a real root of x³ − x − 1 = 0 correct up to three decimal places.
- 4.5
Construct Lagrange's interpolation polynomial for the data: X124Y1416
- 5.5
Derive Newton's forward interpolation formula.
- 6.5
Solve the following set of linear equations using Gauss Jordan method: x + y + z = 6 2x + 3y + z = 10 x + 2y + 3z = 13
Answer comingAlso asked in 2025, 2024, 2023, 2020
- 7.5
Solve dx/dy=x+y, y(0) = 1 using Euler's method (h = 0.1) for x = 0.1.
- 8.5
Apply Trapezoidal rule to evaluate a definite integral.
Group C
Attempt any TWO questions(2 × 10 = 20)
- 9.10
Explain Shooting Method for boundary value problems with algorithm.
- 10.10
Fit a straight line y = ax + b to the following data using the Least Squares Method: x1234y2578
- 11.10
Differentiate between Interpolation and approximation with their significances. Derive the formula for Simpson's (3/8) composite formula.
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