MSM1203 - Theory of Partial Differential Equations

HNGU M.SC. MATHEMATICS SEMESTER - 2 

MSM1203 – THEORY OF PARTIAL DIFFERENTIAL EQUATIONS

Unit 1: 

• Definition, Order and Degree of PDE,
• Linear and Non Linear PDE,
• Classification of 1st order PDE,
• Formulation of PDE,
• Cauchy’s Problem for first order PDE.

Unit 2:

• Solution of Linear PDE of first order.

Unit 3:

• Solution of Non linear PDE of first order.

Unit 4:

• Separation of variables use of Fourier series,
• D’Alembert’s solution of the wave equation,
• Heat equation.

Download Reference Books:

Course covered by : I. N. SNEDDON, Elements of PDE’s , McGraw Hill Inc. 2009

1. M D Raisinghania, Ordinary and Partial Differential Equations, S Chand & Co.

2. L DEBNATH , Nonlinear PDE’s for Scientists and Engineers, Birkhauser , Boston, 2008.

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