BCH053

Numerical Methods for Chemical Engineer

L-T-P3-0-0 Credits3 Session2024-25 TypeTheory
Appears in 1 semester

B.Tech Chemical Engineering · Sem 5 (Departmental Elective-I)

Syllabus

5 units · weightage in %
Unit1

Unit 1: Approximations and Errors

8%

Types of Errors, Significant figures, Accuracy of Numbers, Precision, Error Propagation, Bisection, Secant, Method of False Position or Regula Falsi etc., Convergence of Iterative Methods, Newton Raphson Method, Newton- Raphson Method for Non Linear Equations in Two Variables, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering.

Unit2

Unit 2: Solution of Linear Equations

8%

Mathematical Background, Matrix inversion, Gauss Elimination, Gauss Jordan Method, Gauss-Seidel Iteration Method, Jacobi’s Method, Gauss Seidel Method, Eigen Value Problem, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering.

Unit3

Unit 3: Curve Fitting Methods

8%

of Least Squares, Fitting a Straight Line and a Polynomial, Fitting a Non-linear Function, Fitting Geometric and Exponential Curves, Fitting a Hyperbola, a Trigonometric Function, etc., Algorithms & Computer Programming of Curve Fitting Methods.

Unit4

Unit 4: Numerical Differentiation & Integration

8%

Differentiation Formula based on Tabulator at Equal and Unequal Intervals, Newton-Cotes Integration Formulas, Trapezoidal Rule and Simpson’s 1/3rd and 3/8th Rule, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering.

Unit5

Unit 5: Ordinary Differential Equations

8%

Taylor’s Series and Euler’s Method, Modifications and Improvements in Euler’s Method, Runge-Kutta 2nd Order & 4th Order Methods, Milne’s Predictor-Corrector Methods, Boundary Value Problems, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering initial value and boundary value problems 40

Course Objectives2 points
  • To impart knowledge about the different types of equations in chemical engineering problems.
  • To teach the solution strategy of differential-algebraic, ordinary, differential, and partial differential equations.
Course Outcomes (COs)6 outcomes

After completion of the course student will be able to:

  1. CO1Solve the equations with first order and first degree with linear coefficients.
  2. CO2Understand and solve unsteady state problems.
  3. CO3Provide the solution of various types of equations.
  4. CO4Solve linear and non-linear algebraic equations using numerical method
  5. CO5To curve fitting using numerical method
  6. CO6Apply the above-mentioned strategies solving Chemical engineering problems.

REFERENCE BOOKS

  1. S. NO.

Books

  1. Year of Publication/Reprint
  2. S. K. Gupta, “Numerical Methods for Engineers”, New Academic Science Ltd, 3rd Edition 2021
  3. S.C. Chapra and R.P. Canale, “Numerical Methods for Engineers”, McGraw Hill, 7th Edition 2023
  4. S.S. Shastry, “Introductory Methods of Numerical Analysis”, Prentice Hall of India, 5th Edition 2012
  5. B.S. Grewal, "Numerical Methods in Engineering & Science", Khanna Publishing house. 2017
  6. M.K. Jain, S.R.K. Iyengar and R.K. Jain, "Numerical Methods for Scientific and Engineering Computation", Wiley Eastern. 2021
  7. Pradeep Ahuja, “ Introduction to Numerical Method in Chemical Engineering”, PHI Learning Pvt Ltd. 2020
  8. Kenneth J. Beers “Numerical Method for Chemical Engineer: Application in MATLAB”, Cambridge University Press. 2022
  9. S Elnashaie and F Uligh “Numerical Techniques for Chemical and Biochemical Engineers using MATLAB”, Springer. 2018

Official AKTU syllabus

This subject is on page 21, 22 of the original AKTU PDF.

Official AKTU syllabus PDF ↗