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Fourier Methods The Fourier transform Fourier analysis of generalized functions The Laplace transform Hankel transforms for the solution of PDE and their application to boundary value problems Green’s Functions and Transform Methods Expansion for Green’s functions Transform methods Closed form Green’s functions Perturbation Techniques Perturbation methods for algebraic equations Perturbation methods for differential equations Variational Methods Euler-Lagrange equations Integrand involving one, two, three and n variables Special cases of Euler-Lagranges equations Necessary conditions for existence of an extremum of a functional Constrained maxima and minima |
Credit hours/ Marks:- 3 |
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