Partial Differential Equations

Code: MA2501H | L-T-P-C: 3-1-0-4

Fourier series, half-range Fourier series, Fourier transforms, finite sine and cosine transforms. Laplace and inverse Laplace transforms, properties, convolutions.

First order partial differential equations, solutions of linear and quasilinear first order PDEs, method of characteristics; Classification of second-order PDEs, canonical form; Initial and boundary value problems involving wave equation and heat conduction equation, boundary value problems involving Laplace equation and solutions by method of separation of variables; Initial-boundary value problems in non-rectangular coordinates. Solution of PDEs by Laplace transform and Fourier transform.

Texts:

• K. Sankara Rao, Introduction to Partial Differential Equations, Third Edition, Prentice Hall of India, 2011.

 

References:

• I. N. Sneddon, Elements of Partial Differential Equations, McGraw Hill, 1957.
• S. J. Farlow, Partial Differential Equations for Scientists and Engineers, Dover Publications, 1993.
• E. Kreyszig, Advanced Engineering Mathematics, Tenth Edition, Wiley, 2015.