FACULTY OF SCIENCE / MATHEMATICS / MAT4006 - PARTIAL DIFFERENTIAL EQUATIONS II

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Heat conduction problem in finite lenght rod, time dependent equation, boundary value problem[11] , [1] s. 38-54
2Multiplication of solutions and superposition principle, an example for this, and its interpretation.[11] , [1] s. 38-54
3Various boundary conditions for heat conduction problen in finite lenght rod, heat conduction problem in thin circular wire[11] , [1] s. 59-63 , [2] s. 63-68
4Laplace equation,Laplace equation in recangle and in circular domain [11] , [1] s. 71, [1] s. 71-76 , [1] s. 76-80
5Wave eqaution with various boundary conditions[11] , [1] s. 135, [1] s. 135-138, [2] s. 139-142
6Vibrating string with fixed ends, vibration of a membrane[11], [1] s. 142-148, [1] s. 149-151
7Higher order PDEs, general definitions, Drichlet problem for a cube, for a cyclinderand for a sphere[11], [3] s. 361, [3] s. 361-363, [3] s. 363-367, [3] s. 367-372
8Heat and wave equations and vibrating string in 3-D domains,and 3-D wave equation [11] ,[3] s. 372, [3] s.372-373, [3] s. 373-375
9Heat flow in rectangular region, heat flow in rectangular volume and its relation with sustainable engineering. [11] ,[3] s. 375-379, [3] s. 381-382
10Non-homogenous PDEs with homogenous boundary conditions and also Homogenous PDEs with non-homogenous boundary conditions[11] ,[2] s. 223-224, [2] s. 224-236
11Non-homogenous boundary conditions as a constant, and as variable conditions[11] ,[2] s. 236-242, [2] s. 242-258
12Non-homogenous PDES with non-homogenous boundary conditios[11] ,[2] 258-277
13Some classical problems in PDEs , Laplace equation in Polar coordinate system and in Spherical coordinate system[11], [2] s. 352-356, [2] s. 356-364
14Equation of a vibration of a thin beam , heat conduction problem in circular domain [11] ,[2] s. 364-373, [2] s. 373-380