منصة مودل - المدرسة العليا للأساتذة بالقبة

This course, Numerical Analysis for Ordinary Differential Equations (ODEs), provides a comprehensive introduction to numerical methods for solving ODEs using MATLAB. The course begins with an overview of MATLAB’s programming environment and its built-in solvers for differential equations, equipping students with the foundational skills to implement numerical solutions.

In Chapter 1, students are introduced to MATLAB’s syntax, functions, and ODE solvers (e.g., ode45, ode23), alongside practical programming techniques for formulating and solving ODEs numerically.

Chapter 2 explores fundamental numerical methods, starting with the Euler method for its simplicity and intuitive approach to approximating solutions. The chapter then advances to the Taylor series method, emphasizing higher-order approximations for improved accuracy. Theoretical derivations, error analysis, and MATLAB implementations are included to reinforce understanding.

By the end of the course, students will gain hands-on experience in translating mathematical ODEs into computational algorithms, critically evaluating numerical results, and selecting appropriate methods for diverse problems. This course bridges theoretical concepts with practical applications, preparing students for advanced studies in scientific computing and engineering.