Tribhuvan University
Bachelor of Computer Application
Semester 4 · TU Board 2023
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
Define error. Explain the Taxonomy Errors.
- 3.5
Estimate the value of sin θ at 9 = 45° using Newton's backward difference formula from the following set of data.θ102030405060Sin θ0.17360.34200.50000.64280.76600.8660
- 4.5
Write an algorithm and program to calculate integration using Trapezoidal rule.
Answer comingAlso asked in 2020
- 5.5
What is the form of resultant matrix using Gauss-Jordan method? Solve the following system of equations using Gauss-Jordan Method. x + 2y - 3z = 4 2x + 4y - 6z = 8 x - 2y - 5z = 4
Answer comingAlso asked in 2026, 2025, 2024, 2020
- 6.5
Define ordinary differential equation. Use the fourth order Runge-Kutta method to estimate y(0.4) of the equation: dydx=x2+y2 with y(0) = 0 assuming that h = 0.2
- 7.5
Solve for the steady state temperatures in a rectangular plate of 8cm x 10cm, if one 10cm side is held at 50°C, and the other 10cm side is held at 30°C and other two sides are held at 10°C. Assume grids of size 2cm x 2cm.
- 8.5
Write a short note on (Any Two): a) Partial Differential Equations b) Linear Interpretation c) Boundary value problems
Group C
Attempt any TWO questions(2 × 10 = 20)
- 9.10
Write an algorithm and program to compute the root of nonlinear equation using Newton - Raphson method.
Answer comingAlso asked in 2021
- 10.10
a) Fit a straight line to the following set of data using Least Square Regression. b) Apply the factorization method (any) to solve the equations: 2x + 3y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7
- 11.10
a) Write and implement an algorithm to solve the system of linear equations using Gauss-Seidel method with suitable example. b) Write a program to solve the ordinary differentia; equations using Heun's method.
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