TEW - Analytical and Numerical Solutions of Ordinary and Partial Differential Equations (2023)

Speakers and Syllabus

Name of the Speaker with affiliation	No. of Lectures	Detailed Syllabus
Prof. Mohan Krishen Kadalbajoo, LNMIIT Jaipur	6	Numerical Methods for First-order ODEs – Initial-Value Problems - Solution of first order ordinary differential equations, Approximate Solution: Picard Iteration Method, Taylor Series method, Euler method, Modified Euler Method, Second and Fourth Order Runge Kutta methods. Multistep Methods, Error Analysis, Stiff Differential Equations.
Prof. Natesan Srinivasan, IIT Guwahati	6	Numerical Methods for Two-Point Boundary-Value Problems – Second-order ODEs – Finite Difference Methods, Truncation errors, Stability Analysis, Error estimates, Finite Element Methods (FEM), Error analysis, Basics of MATLAB.
Prof. G D Veerappa Gowda, TIFR CAM Bangalore	6	Introduction to PDE. Solving linear, semi-linear, quasilinear and fully non-linear first order equations by using the method of characteristics. Conservation laws: Weak Solutions, concept of entropy solution and Riemann problems. Examples with their applications in various fields.
Dr. Mithilesh Kumar Chaube, IIIT Naya Raipur	6	Finite Difference methods for PDEs with Consistency, Stability and Convergence – Parabolic, Laplace and Hyperbolic

References:

1. G. D. Smith, Numerical Solutions to Partial Differential Equations, Oxford University Press, 3rd Edn., 1986.

2. Burden RL, Faires J D Numerical Analysis Cengage Learning, 2007

3. Evans, L.C., Partial differential equations, Rhode Island: AMS, Providence.

4. John, F., Partial Differential equations, Springer Verlag.

Name of the tutors:

S.No.	Name	Affiliation
1	Dr. Manoj Sahni	Pandit Deendayal Energy University Gandhinagar
2	Dr. Chandra Shekhar Nishad	International Institute of Information Technology, Naya Raipur (IIIT-NR)

Time-table (with names of speakers and tutors):

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