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FAEN 301 — Numerical Methods

Materials Science and Engineering · University of Ghana

(Prerequisites: FAEN 101, FAEN 110, FAEN 201) Matrices and vector operations, linear homogeneous systems, Eigen-vectors and values. Numerical errors, absolute and relative errors, stability and convergence of numerical algorithms. Interpolation Methods: Lagrange polynomials, finite differences, least square approximation. Numerical solutions to Nonlinear Equations: Newton Raphson method, secant, false position, bisection, fixed point algorithm. Numerical Integration: Simpson‘s rule, trapezoidal rule, Newton-Cotes method. Numerical solutions to Ordinary Differential Equations: Taylor series method, Euler method, Runge-Kutta method. Numerical solutions to Partial Differential Equations: Second order quasi-linear equations, numerical solutions.

Credits
3
Level
Level 300
Semester
Semester One

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Course details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).