EP207 Numerical methods.pdf

Truncation and round off errors in numerical methods

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Truncation and round-off errors in numerical methods Significant figures 6 - - - 12 - - - 18 2. Locating the Roots of Single Non-Linear Equation Graphical method 10 - - - 20 - - - 30
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Rev December 2016 Bisection method false-position method Fixed-point iteration Newton-Raphson method Secant method 3. Finding the Solution of Linear Algebraic Equations System Gaussian-elimination Gauss-Jordan elimination LU-decomposition Matrix inversion Jacobi iteration Gauss-Seidel iteration 10 - - - 20 - - - 30 4. Curve Fitting Newton’s divided - difference polynomials Lagrange interpolating polynomials 6 - - - 12 - - - 18 5. Numerical Differentiation and Integration Forward, backward and centred finite-divided- difference approximations Trapezoidal and Simpson formulas Romberg integration Euler’s and Heun’s methods 10 - - - 20 - - - 30 Total 42 - - - 84 - - - 126 Total Guided and Independent Learning Component Face to Face Independent Learning Lecture 42 84 Test 1.5 4.5 Assignment - 6 Mid-Term Examination 1.5 4.5 Final Examination 3 9 Total 48 108 Total Student Learning Time (SLT) 156 Credit Hours 3 References 1. Chapra, S. C. & Canale, R. P. (2015). Numerical Methods for Engineers 7th edition. Mcgraw-Hill: New York. 2. Law, V. J. (2013). Numerical Methods for Chemical Engineers using Excel, VBA, and MATLAB. CRC Press. PLO 1 ENGINEERING KNOWLEDGE - Apply knowledge of mathematics, science, engineering fundamentals and an engineering specialization to the solution of complex engineering problems PLO 2 PROBLEM ANALYSIS - identify, formulate, research literature and analyse complex engineering problems reaching substantiated conclusions using first principles of mathematics, natural sciences and engineering sciences
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Rev December 2016 PLO 3 DESIGN/DEVELOPMENT OF SOLUTIONS - Design solutions for complex engineering problems and design systems, components or processes that meet specified needs with appropriate consideration for public health and safety, cultural, societal, and environmental considerations PLO 4 INVESTIGATION - Conduct investigations of complex problems using research-based knowledge
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