| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| DTDTUSHE 5212 | Boundary Value Problems for Partial Differential Equations | Бірінші курс | 5 | 150 | 1 | 2 |
The purpose of the discipline: Fredholm's theorems. As a result of the training, undergraduates should master the methodology for obtaining a priori estimates of the Helder and Sobolev spaces, as well as the solvability of boundary value problems of the parabolic type by modern methods, the method of constructing a regularizer to prove the existence of a solution, the Schauder method, the Fredholm nature of differential operators. Studies new mathematical methods for solving boundary value problems for partial derivatives of differential equations.
The purpose of the discipline: Fredholm's theorems. As a result of the training, undergraduates should master the methodology for obtaining a priori estimates of the Helder and Sobolev spaces, as well as the solvability of boundary value problems of the parabolic type by modern methods, the method of constructing a regularizer to prove the existence of a solution, the Schauder method, the Fredholm nature of differential operators. Studies new mathematical methods for solving boundary value problems for partial derivatives of differential equations.
| 1 | Analyzes current development trends, the main problems of the history and philosophy of science, possession of the conceptual and methodological apparatus and applying the theoretical knowledge gained in various forms of research and intercultural communication |
| 2 | Creates constructive methods for solving boundary value problems of integro differential equations |
| 3 | Studies new mathematical methods for solving extreme problems and boundary value problems for nonlinear differential equations and mathematical physics |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Introduction to the problems of mathematical physics | |
| 2 | A one-dimensional simplex element. A one-dimensional function of the form. The continuity of forms function. | |
| 3 | Two-dimensional simplex element. Function continuity of forms | |
| 4 | The Ritz method | |
| 5 | Description of the heat dissipation process in the rod. | |
| 6 | Constructing the equation of thermal conductivity of a whole body | |
| 7 | Features of calculating integrals as part of a functional in real problems | |
| 8 | Local coordinate system. Features of the transition from one system to another. The quadratic function of the form. | |
| 9 | L-determination of coordinates. Volumetric L-coordinates. Relations, determinant elements. | |
| 10 | Features of the construction of the stiffness matrix and the load vector of the heat distribution process in a one-dimensional body. | |
| 11 | Features of solving the process of heat dissipation in a two-dimensional body by the method of finite elements. | |
| 12 | The use of a two-dimensional simplex element in the calculation of the thermal conductivity matrix | |
| 13 | Algorithm for creating a condensed Matrix. The need to create a compact Matrix. | |
| 14 | Algorithm for creating a Ku Matrix | |
| 15 | MATLAB sisteminde hesaplama programının bir parçası |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Kólekeev K.D., Nazarova K.J. Arnaıy fýnksıalar. Oqý quraly./ -Túrkistan, 2019, -57 bet. | |
| 2 | K.D.Kólekeev, M.D.Qoshanova. Matematıkalyq fızıka teńdeýleri / Túrkistan : Turan, 2016. – 200b | |
| 3 | Sársekeeva A.S. Matematıkalyq fızıkanyń teńdeýleri: Oqý quraly. / Ál-Farabı atyndaǵy Qazaq Ulttyq ýnıversıteti. - Almaty: Qazaq ýnıversıteti, 2015. - 120b. http://rmebrk.kz/ | |
| 4 | B. T. Tórebek.Integraldardy esepteýde Maple júıesin qoldaný: Oqý-ádistemelik qural. / Túrkistan 2013. / B. H. Týrmetov, | |
| 5 | B.H. Týrmetov, M.D. Qoshanova. Matematıkalyq fızıka teńdeýleri páninen esepter men tapsyrmalar jınaǵy / - Túrkistan : Turan, 2012. - 80 s | |
| 6 | S.T.Kasúk, A.A.Logvınova Vysshaıa matematıka na kompútere v programme Maple 14. Ýchebnoe posobıe po laboratornym rabotam. Chelábınsk, 2015g. |