Department of Mathematicscoretheory
ADVANCED NUMERICAL METHODS
MAT 3231
Syllabus
- 01Introduction to Partial differential equations
- 02First order equations: classification, construction and geometrical interpretation, Lagrange's and Charpit's method for solving PDE
- 03Method of characteristics for obtaining general solution of quasi linear equations
- 04Canonical forms of first-order linear equations
- 05Introduction to calculus of variations
- 06Approximate methods
- 07Finite elements
- 08Nodes classifications
- 09Approximate functions
- 10Solution of boundary value problems of second order differential equation
- 11Finite element equations for the heat conduction equation
- 12Vibration equation
- 13Elliptic problems using Galerkine and Ritz methods
References
- M. K. Jain, Numerical Solution of Differential Equations, PHI Ltd., 1984.
- R. Mitchell and R. Wait, Finite element methods in partial differential equations., 1977, John Wiley.
- T. Amarnath, Partial Differential Equations, 2(e), 2003, Narosa Publ.
- S.L. Ross, Differential equations, 3rd Ed., John Wiley and Sons, India, 2004.
- Martha L Abell, James P Braselton, Differential equations with MATHEMATICA, 3rd Ed., Elsevier Academic Press, 2004.
Credits Structure
3Lecture
0Tutorial
0Practical
3Total