Course title : Partial Differential Equations Format : 2 lectures hours ...

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Course title : Partial Differential Equations Format : 2 lectures hours ...

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G. Arfken: “Mathematical Methods for Physicist”, Academic Press, (2001). 4. M.L. Boas: “Mathematical Methods in the Physical Sciences”, Wiley, (1998). 5.

Course title : Partial Differential Equations Format : 2 lectures hours, 1 tutorial hour Prerequisites: Regular differential equations

Course program: -

Partial differential equations of first and second order, classifications and canonical transformation. The problem of characteristics difficulty and existence. Introduction to the Sturm-Liouville's theory: orthogonal properties, completeness, function development in a complete set and coefficient determination. Homogeneous partial differential equations. Separation of variables. Heat conduction equation, wave equation, Laplace's equation, solution to boundary problems in various coordinates. Non homogeneous problems: solutions by means of the Green function, Poisson's equation, one-dimensional difficulties.

Bibliography: Textbook: 1. W.E. Boyce and R.C. Diprima: “Elementary Differential Equations”, Wiley, (1997). Supplementary reading: 1. P. Aries: "Differential Equations", Shaum, (1970). 2. S. Zafrani, A. Pinkus: "Fourier series and integral transformations", Michlol, (1997). 3. G. Arfken: “Mathematical Methods for Physicist”, Academic Press, (2001). 4. M.L. Boas: “Mathematical Methods in the Physical Sciences”, Wiley, (1998). 5. M. R. Spiegel: “Applied Differential Equations”, Prentice Hall, (1981).