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JFM 504 - Differential Equations

Course Objectives

1. Starting from physical problems, demonstrate the construction of mathematical models described by partial differential equations;
2. Emphasize the importance of making appropriate assumptions and approximations based on the physical nature of the problem;
3. Demonstrate how the solution of partial differential equations are obtained based on initial and/or boundary conditions specific to the problem;
4. Give insight as to how problems without exact (analytical) solutions can be solved by numerical approximations.

Course Description

Construction and solution of parabolic (diffusion equation) and hyperbolic (wave equation) type initial-boundary-value problems and elliptic type (Laplace’s and Poisson’s equations) initial-value problems using the methods of separation of variables, integral transforms (Fourier series, Fourier transform, Laplace transform), eigenfunction expansion, Green’s function (impulse-response), change of coordinates and finite differences.

Course Coordinator
Hüseyin Argun Kocaoğlu
Course Language
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