- Computer Oriented Numerical Techniques Lab,

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Are you looking to download a PDF soft copy of the Solved Assignment **BCSL-58 - Computer Oriented Numerical Techniques Lab**? Then GullyBaba is the right place for you. We have the Assignment available in English language.

This particular Assignment references the syllabus chosen for the subject of **Computer Application**, for the **July 2023 - January 2024** session. The code for the assignment is BCSL-58 and it is often used by students who are enrolled in the BCA Degree.

Once students have paid for the Assignment, they can Instantly Download to their PC, Laptop or Mobile Devices in soft copy as a PDF format. After studying the contents of this Assignment, students will have a better grasp of the subject and will be able to prepare for their upcoming tests.

Q1. Write a C/C++ program that implements (Do not use pivot condensation) Gaussian elimination method for solving n linear equations in n variables, that calls procedures

(i) Exchange of rows

(ii) lower-triangularisation and

(iii) back substitutions

(Codes of procedures are also to be written).

Use the program for solving the following system of linear equations:

2x + y + z = 7

3x + 2y + 3z = 16

4x + 5y + 3z = 23

Q2. Write a program in C/C++ to find the root of the following equation by using “Bisection Method”.

Equation: 𝑥3 − 5𝑥 + 1 = 0; 𝑥 ∈ [1, 2]

Q3. Write a C/C++ program that approximates a root of the equation f(x) = 0 in an interval [a, b] using Newton-Raphson method. The necessary assumptions for application of this method should be explicitly mentioned. Use the method to find one root of the equation: x3 + 4x2- 19=0.

Q4. Write a C/C++ program that approximates the value of a definite integral using Trapezoidal Rule, with M sample points. Find an approximate value of the integral of 4x2 using the program with 6 intervals over the interval [0, 3].

Q5. Write a C/C++ program that approximates the solution of the initial value problem: y’ = f(t, y) with y(a) = y0 over [a, b] using Euler’s method. Using the program approximate the solution of the initial value problem: y’ = -2ty2 with y(0) =1

Q6. Write a program in C/C++ to calculate the value of “cos x” by using the series expansion given below:

Note:

• Evaluate cos x only upto first three terms.

• Also find the value of cos x by using the inbuilt function.

• Compare the results i.e., the result produced by your program and

• that produced by inbuilt function. Based on comparison, determine error.

Q7. Write a program in C/C++ to find the value of Sin(π/6) by using Lagrange’s Interpolation, the related data is given below

Q8. Write a program that approximates the value of a definite integral using Simpson 1/3 Rule, with M sample points. Find an approximate value of the integral of 2x3/2 using the program with 8 intervals over the interval [1, 9].

Q1. Write a program in C/C++ to find the solution of system of linear equations (given below), by using Gauss- Elimination method:

𝑥 + 𝑦 + 𝑧 = 2

𝑥 − 2𝑦 + 3𝑧 = 14

𝑥 + 3𝑦 − 6𝑧 = −23

Q2. Write a program in C/C++ to determine the approximate value of the definite integral (I) (given below), by using Simpson’s (1/3)rd rule:

Using step size (ℎ) = 0.2 .

Q3. Write a program in C or C++ to demonstrate the following operations, for the function 𝑓(𝑥) = 𝑥2 + 𝑥 + 7 ∶

(a) Forward Difference Operator

(b) Central Difference Operator

Q4. Write a program in C/C++ to find the value of Sin(𝜋/6) by using Lagrange’s Interpolation, the related data is given below:

Q5. Write a program in C/C++ to calculate the value of “cos 𝑥” by using the series expansion given below:

Note: Evaluate cos 𝑥 only upto first three terms.

Also find the value of cos 𝑥 by using the inbuilt function.

Compare the results i.e., the result produced by your program and that produced by inbuilt function. Based on comparison, determine error.

- University IGNOU (Indira Gandhi National Open University)
- Title Computer Oriented Numerical Techniques Lab
- Language(s) English
- Session July 2023 - January 2024
- Code BCSL-58
- Subject Computer Application
- Degree(s) BCA
- Course Practical Courses (PC)
- Author Gullybaba.com Panel
- Publisher Gullybaba Publishing House Pvt. Ltd.

The IGNOU open learning format requires students to submit study Assignments. Here is the final end date of the submission of this particular assignment according to the university calendar.

**30th April**(if Enrolled in the June Exams)**31st October**(if Enrolled in the December Exams).

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- July 2023 - January 2024 21 Pages (0.00 ), PDF Format SKU: IGNGB-AS-BCA-BCSL58-EN-403

- July 2022 - January 2023 10 Pages (0.00 ), PDF Format SKU: IGNGB-AS-BCA-BCSL58-EN-231

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