# MSc (Mathematics and Computing) Programme:Numerical Methods for Partial Differential Equations

Thapar UniversityPrice on request

Price on request

£ 379 - (Rs 31,693)

£ 295 - (Rs 24,669)

+ VAT

Free

## Important information

- Master
- Patiala

Starts | Location |
---|---|

On request |
PatialaThapar University P.O Box 32, 147004, Punjab, India See map |

## Course programme

Semester I

Real Analysis – I

Linear Algebra

Complex Analysis

Fundamentals of Computer Science and C Programming

Discrete Mathematical Structure

Differential Equations

Semester II

Real Analysis –II

Advanced Abstract Algebra

Computer Oriented Numerical Methods

Data Structures

Data Based Management Systems

Operating Systems

Semester III

Topology

Computer Based Optimization Techniques

Computer Networks

Mechanics

Seminar

Semester IV

Functional Analysis

Dissertation

Numerical Methods for Partial Differential Equations

Parabolic equations: Numerical solutions of parabolic equations of second order in one space variable with constant coefficients –two and three levels explicit and implicit difference schemes, truncation errors and stability.

Numerical solution of parabolic equations of second order in two space variable with constant coefficients-improved explicit schemes, Larkin modifications, implicit methods, alternating direction implicit (ADI) methods.

Difference schemes for parabolic equations with variable coefficients in one and two space dimensions. Difference schemes in spherical and cylindrical coordinate systems in one dimension.

Hyperbolic Equations: Numerical solution of hyperbolic equations of second order in one and two space variables with constant and variable coefficients-explicit and implicit methods. ADI methods, Difference schemes for first order equations.

Elliptic Equations: Numerical solutions of elliptic equations, approximations of Laplace and biharmonic operators. Solutions of Dirichlet, Neumann and mixed type problems with Laplace and Poisson equations in rectangular, circular and triangular regions, ADI methods.

Finite Element Method: Introduction to FEM, FEM for Laplace, Poisson, heat flow and wave equations.

Laboratory Work