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Course Detail

Course Name Computational Methods in Engineering
Course Code 19MEE211
Program B. Tech. in Mechanical Engineering
Semester Four
Year Taught 2019


Introduction to programming in MATLAB, examples. Error definitions, Taylor series and error propagation. Roots of equations – Bisection method, fixed point iteration, Newton-Raphson method, secant method, systems of nonlinear equations. Numerical linear algebra – Gauss elimination, LU decomposition, matric inversion, power method for finding eigen values, QR factorisation.

Curve Fitting – Linear regression, polynomial regression, nonlinear regression, Newton’s divided difference interpolation, Lagrange interpolation.

Numerical Integration and Differentiation – Trapezoidal rules, Simpson’s rules, Newton-Cotes algorithm, Gauss quadrature, high accuracy differentiation formulas, Richardson extrapolation, partial derivatives.

Differential Equations – Euler’s method, improved Euler’s methods, Runge-Kutta method, systems of equations, Finite difference method, solution of Laplace equation by FDM, explicit methods for parabolic equations, simple implicit method, Crank-Nicolson method

Objectives and Outcomes

Course Objectives

The course is expected to enable the students

  • To familiarize different numerical methods to solve engineering problems.
  • To write computer programs and use tool boxes in the software packages.
  • To select a specific numerical method to solve practical problems.

Course Outcomes

  • CO1: Solve linear and nonlinear algebraic equations and systems of nonlinear equations using numerical techniques
  • CO2: Use regression and interpolation methods for curve fitting.
  • CO3: Select and apply numerical schemes for differentiating and integrating complicated functions.
  • CO4: Apply computational schemes for solving systems of ordinary differential equations.
  • CO5: Solve PDEs by numerical methods

CO – PO Mapping

CO1 2 2 2 2 1 2 2 2
CO2 2 1 1 2 3 2 2 1
CO3 2 2 3 3 3 1 1 2 2 2
CO4 2 2 3 3 3 1 1 2 3 3
CO5 2 2 2 2 2 1 1 2 3 3

Textbook / References


  • Numerical Methods for Engineers, Steven Chapra and Raymond Canale, Seventh Edition, McGraw Hill, 2015.
  • Applied Numerical Analysis, LaureneFausett, Second Edition, Pearson, 2008.
  • Advanced Engineering Mathematics, Erwin Kreyszig, Tenth Edition, Wiley, 2011.


  • M. K. Jain, S. R. K. Iyengar and R. K. Jain, Numerical methods for Scientific and Engineering Computation, New Age International Publishers, Fifth edition, 2007.
  • C. F Gerald and P. O Wheatley, Applied Numerical Analysis, Seventh Edition, Addison Wesley, 2009. Rizwan Butt, Introduction to Numerical Analysis Using MATLAB, Jones and Bartlett Publisher, 2010. AbdelwahabKharab, Ronald B, An Introduction to Numerical Methods: A MATLAB Approach, Third Edition, CRC Press, 2012

Evaluation Pattern

Assessment Internal External
Periodical 1 15
Periodical 2 15
*Continuous Assessment (CA) 20
End Semester 50
*CA – Can be Quizzes, Assignment, Projects, and Reports.

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