MAT305 – Boundary Value Problems

Module designation

Boundary Value Problems (MAT305)

Semester(s) in which the module is taught

5th

Person responsible for the module

Nashrul Millah, M.Si.

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture, lesson and project

Workload (incl. contact hours, self-study hours)

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Partial Differential Equations (MAT211)

Module objectives/intended learning outcomes

General Competence (Knowledge)

able to implement boundary condition theory to solve linear partial differential equations analytically or numerically.

Specific Competence : students are able to

1.      determine Fourier series of a bounded periodic function.

2.      solve a Sturm-Liouville boundary value problem of a linear ordinary differential equation.

3.      solve a boundary value problem of a linear partial differential equation.

4.      solve a second order differential equation with boundary condition by using finite difference method.

5.      solve a linear diffusion equation with boundary condition by using finite difference method.

6.      solve a linear transport equation equation with boundary condition by using finite difference method.

7.      solve a linear wave equation with boundary condition by using finite difference method.

8.      solve Laplace equation boundary condition by using finite difference method.

Content

Fourier series, Sturm-Liouville boundary value problem, boundary value problem in partial differential equation, finite difference method for linear partial differential equation.

Examination forms

Essay and oral presentation

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

Final score is calculated as follow: 10% softskill + 10% assignment + 10% quiz +  25% midterm + 20% project+ 25% final term

Final index is defined as follow:

Reading list

1.      R.A. Bernatz, 2010, Fourier Series and Numerical Methods for Partial Differential Equations, John Willey & Sons, Inc.

2.      Boyce, W.E. and DiPrima, R.C., 1992, Elementary Differential Equation and Boundary Value Problems, Fifth Edition, John-Wiley, New York.

3.      Zill, Dennis G, 1982, A First Course in Differential Equations with Applications, 2^nd Edition, Prindle, Weber & Schmid, Boston.

4.      Richard Haberman, 1998, Elementary Applied Partial Differential Equations, 3^rd Edition, Prentice Hall.