Assignment on Runge-Kutta Methods
This activity is part of the Teaching Computation in the Sciences Using MATLAB Peer Reviewed Teaching Activities collection.
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This is a sample homework problem in a senior elective course on topics in applied mathematics. This particular problem requires the students to program forward Euler, backward Euler and an explicit 2-stage 2nd order Runge-Kutta scheme for solving an ordinary differential equation(ODE) system by modifying a sample MATLAB code provided by the instructor, to compare and discuss the performance of the three different numerical methods.
CollapseLearning Goals
Learn different numerical methods for solving ODEs and ODE systems
Compare performance of explicit and implicit schemes
Practice on writing MATLAB code
Context for Use
This course is for senior students in STEM fields with knowledge in linear algebra and differential equations. Students are expected to have basic programming skills (not necessarily in MATLAB).
Description and Teaching Materials
Sample Assignment (Acrobat (PDF) 79kB Aug14 18)