Main Page > MS (Physics) 2-Years Program (Regular) > ADVANCED MATHEMATICAL PHYSICS
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ADVANCED MATHEMATICAL PHYSICS
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Nonlinear ordinary differential equations, Bernoulli’s equation, Riccati equation, Lane-Emden equation, Nonlinear Pendulum, Duffing’s equation, Pinney’s equation, Perturbation theory, Bogoliubov- Krilov method. Linear partial differential equations, classification, initial and boundary values problems, Fourier analysis, Heat equation, Wave equation, Laplace equation etc. Integral equations, classification, integral transform separable kernels, singular integral equations, Wiener-Hopf equations, Fredholm theory, series solutions. Variational methods, The Euler-Lagrange equations, Solutions to some famous problems, Sturm-Liouville Problem and variational principles, Rayleigh-Ritz Methods for partial differential equations. Matrix algebra, method of Faddeev, Caley-Hamilton’ theorem, functions of matrices. Functions of matrices, Kronecker and Tensor products, special matrices. |
| Credit hours/ Marks:- 3 |
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