Skip to main content

Numerical Solution of Partial Differential Equations: Course Outline (MAT-634)

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

Course Outline

  • Parabolic Equations.
  • Explicit finite difference approximation.
  • Crank Nickelson implicit method.
  • Derivative boundary condition.
  • The local truncation error.
  • Consistency and Stability.
  • The necessary and sufficient condition for stability.
  • Finite difference approximation in spherical polar co-ordinates.
  • Hyperbolic Equations.
  • Analytic solution of quasi-linear equations.
  • Finite difference method on a rectangular mesh for first order equations.
  • Reducion of first order partial differential equation to a system of first order ordinary differential equations.
  • Second order quasi-linear hyperbolic equations.
  • Finite difference method on a rectangular mesh for second order equation.
  • Simultaneous first order equations and stability.
  • Elliptic Equations.
  • Finite difference in polar co-ordinates.
  • Formulae for derivative near curved boundaries.
  • Improvement of the accuracy of solution.
  • Systematic iterative methods for large linear  systems.
  • Jacobbi.
  • Gauss and SOR methods.
  • Necessary and sufficient condition for convergence of iterative methods.
  • Methods for accelerating convergence.

Recommended Books

E-Books (Full Text)

Search the Library Catalog

Welcome to the Online Public Access Catalog (OPAC). This catalog provides you bibliographic information of print books available in all campus libraries of the University and provides you the facility of 2 types of searches; basic search and advance search to find the exact book or list of books you required.

Important Features for Patrons

  1. Easy access to information due to effective searching.
  2. Alert messages for patron i.e. overdue items or arrival of new items.
  3. Patron can suggest books for purchase through this system.
  4. Patrons can check his circulation history and hold on desired books.
  5. OPAC brings together library users and staff, as both can see various aspects of the system.

Search Your Required Book

 

E-Books (Full Text)

Google Books

Google Book Search