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Basic Details:

  • Course Code: EM 2040
  • Credits: 2
  • Pre-requisites: None
  • Compulsory/Optional: Compulsory

Aim :

To introduce numerical methods for solving mathematical models of Civil Engineering problems.

Intended Learning Outcomes:

On successful completion of the course, the students should be able to;

  • Explain, apply and analyze numerical methods for finding roots of equations, interpolation and curve fitting.

  • Explain, apply and analyze numerical methods for solving ordinary and partial differential equations.

  • Select suitable algorithms and apply for solving partial differential equations related to Civil Engineering problems

Couse Content:

Bisection method; method of false
position; fixed-point iteration; Newton-Raphson’s method; secant method.

Gaussian elimination; Jacobi method; Gauss Seidel method.

Newton interpolating polynomial, Lagrange interpolating polynomial, Spline interpolation.

Linear regression, polynomial regression.

Gaussian Quadrature.

Initial value problems: Euler method, Runge - Kutta methods, Boundary value problem, Finite difference method

Finite difference method: Elliptic equations, 1D and multi-dimensional problems. parabolic problems,
Integral Equation Methods: Collocation method, Galerkin method and Weighted, Residual method

Time Allocation (Hours):

Lectures
0
Tutorials
0

Recommended Texts:

  • C. Chapra and R. P. Canale, (2010). “Numerical Methods for Engineers”, 6th edition, McGraw-Hill.

Assessment:

In - course:

Tutorials/Quizzes
20%
Mid Semester Examination
30%

End-semester:

50%