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Basic Details:

  • Course Code: EM 315
  • 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, and 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, “Numerical Methods for Engineers”, 6th edition (2010), McGraw-Hill.

Assessment:

In - course:

Tutorials/Assignments/Quizzes
20%
Mid Semester Examination
30%

End-semester:

50%