معادلات تفاضلية جزئية - PARTIAL DIFFERENTIAL EQUATIONS
- رمز المقرر:
- MATH 3302
- اسم المقرر:
- معادلات تفاضلية جزئية - PARTIAL DIFFERENTIAL EQUATIONS
- :المعتمدة الساعات
- 3
- المتطلبات السابقة:
- معادلات تفاضلية ( ريض 3201 ) - Differential Equations ( MATH 3201 ) ، تفاضل و تكامل 4 ( ريض 3214 ) - Calculus IV ( MATH 3214 )
عن المقرر
First order quasi linear equations. Lagrange method and Characteristics. Classification of linear second order PDEs. Brief review of separation of variables. One dimensional wave equation: its solution and characteristics. Cauchy problem for the wave equation. Laplace’s equation: The maximum principle, uniqueness theorems. Green’s function. Neumann’s function. The heat equation in one dimension.
الكتب المقررة:
Main Textbook: Tveito, A. Introduction to Partial Differential equations, Springer, 2003. Rao. K. S. Introduction to Partial Differential equations, New Delhi, 2011. Subsidiary Books: John, F. Partial Differential Equations, 3th Edition, Springer, 1991.
