FACULTY OF SCIENCE / MATHEMATICS / MAT4044 - NUMERICAL SOLUTIONS OF PARTIAL DIFF EQUATIONS

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Classification of partial differantial equation: Parabolic, Hyperbolic and Eliptic[2] p. 395-399
2Finite difference method, Taylor series expansion and formulas of finite difference[2] p. 400-406, [1] 840-866
3Converting the differential equations to finite difference equation[2] p. 406-408, [1] 849-863
4Solution of the parobolic equation using the finite difference, explicite methods[2] p. 408-411, [1] 832-836
5Implicite solution methods, Two dim. parabolic equ., non linear parabolic equation, [2] p. 411-418, [1] 836-844
6Solution of the hyperbolic equation by using finite difference, Explicite methods[2] p. 418-423
7Two dimensional solution methods, Implicite methods[2] p. 422-425
8Midterm exam, Solution of the eliptic equation by using finite difference, [2] p. 427-427, [1] 812-820
95-point formula, 9-point formula, Boundary conditions[2] p. 427-430
10Differential quadrature methods, Generelaized diff. quadrature method[2] p. 438-447
11Generelazed diff. quadrature method , two dim. gen. diff.l quadrature method[2] p. 439-448
12Finite equation for Heat, Wave, Laplace and Poisson equations[2] p. 425-427, [3] S. 430-434, [3] S.451-456 , [1] S. 812-814
13Engeering equation[1] p. 876-882, [2] S. 450-456
14 Engineering applications in the context of sustainable engineering[1] p. 882-889, [2] S. 456-462