WELCOME TO MY CLASS NUMERICAL METHOD Name : Masduki

Slides:



Advertisements
Similar presentations
Numerical Integration
Advertisements

Lecture 5 Newton-Raphson Method
Numerical Solution of Nonlinear Equations
SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM Read , 26-2, 27-1 CISE301_Topic8L8&9 KFUPM.
Numeriska beräkningar i Naturvetenskap och Teknik 1. Numerical differentiation and quadrature Discrete differentiation and integration Trapezoidal and.
Lecture 18 - Numerical Differentiation
CVEN Exam 1 Review. Matlab.m files Matlab.m files Programming: FOR, WHILE, IF and FUNCTION Programming: FOR, WHILE, IF and FUNCTION Taylor Series.
王俊鑫 (Chun-Hsin Wang) 中華大學 資訊工程系 Fall 2002 Chap 2 Numerical Methods for First-Order Differential Equations.
Lecture Notes Dr. Rakhmad Arief Siregar Universiti Malaysia Perlis
CISE301_Topic8L31 SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM (Term 101) Section 04 Read , 26-2,
CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4: KFUPM.
Numerical Solution of Ordinary Differential Equation
NUMERICAL DIFFERENTIATION The derivative of f (x) at x 0 is: An approximation to this is: for small values of h. Forward Difference Formula.
-S.SIVARAJA Dept of MATHEMATICS.  N-NUMERICAL  M-METHODS EASY TO LEARN & EASY TO SCORE.
Professor Walter W. Olson Department of Mechanical, Industrial and Manufacturing Engineering University of Toledo Solving ODE.
MECN 3500 Inter - Bayamon Lecture Numerical Methods for Engineering MECN 3500 Professor: Dr. Omar E. Meza Castillo
1 Numerical Analysis Lecture 12 Numerical Integration Dr. Nader Okasha.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 5.4 Fundamental Theorem of Calculus.
EE3561_Unit 8Al-Dhaifallah14351 EE 3561 : Computational Methods Unit 8 Solution of Ordinary Differential Equations Lesson 3: Midpoint and Heun’s Predictor.
CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4: KFUPM CISE301_Topic1.
CISE301_Topic11 CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4:
EE 3561_Unit_1(c)Al-Dhaifallah EE 3561 : - Computational Methods in Electrical Engineering Unit 1: Introduction to Computational Methods and Taylor.
Introduction to Numerical Analysis I MATH/CMPSC 455 Fall 2011 Instructor: Xiaozhe Hu (Shawn)
Application of Differential Applied Optimization Problems.
CSE 541 Rick Parent ELEMENTARY NUMERICAL METHODS Winter 2012.
Review Taylor Series and Error Analysis Roots of Equations
Professor Walter W. Olson Department of Mechanical, Industrial and Manufacturing Engineering University of Toledo Performance & Stability Analysis.
Numerical Solutions of ODE
BE207 Numerical Analysis using Matlab Lecturer DR Abdullah Awad Faculty of Engineering.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 5.5 Trapezoidal Rule.
ESO 208A/ESO 218 COMPUTATIONAL METHODS IN ENGINEERING.
Sec 21: Generalizations of the Euler Method Consider a differential equation n = 10 estimate x = 0.5 n = 10 estimate x =50 Initial Value Problem Euler.
Intelligent Numerical Computation1 Numerical Analysis Basic structures of a flowchart Solving a nonlinear equation with one variable Bisection method Newton.
Quadrature – Concepts (numerical integration) Don Allen.
Assignment 1: due 1/19/16 Estimate all of the zero of x3-x2-2x+1 graphically. Write a MatLab code for Newton’s method. Use your code to refine the graphical.
Numerical Integration Methods
CHAPTER 3 NUMERICAL METHODS
Welcome to Computers in Civil Engineering 53:081 Spring 2003
Engineering Problem Solution
NUMERICAL DIFFERENTIATION Forward Difference Formula
CHAPTER 3 NUMERICAL METHODS.
Numerical Solution of Ordinary Differential Equation
525602:Advanced Numerical Methods for ME
Class Notes 18: Numerical Methods (1/2)
SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM (Term 101) Section 04 Read , 26-2, 27-1 CISE301_Topic8L4&5.
Chapter 23.
Numerical Analysis Lecture 45.
ME 123 Computer Applications I Lecture 24: Character Strings 4/18/03
Ordinary differential equaltions:
Use power series to solve the differential equation. {image}
POLYNOMIAL INTERPOLATION
SOLUTION OF NONLINEAR EQUATIONS
MATH-321 In One Slide MATH-321 & MATLAB Command.
Euler’s Method of Approximation and Slope Fields
SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM (Term 101) Section 04 Read , 26-2, 27-1 CISE301_Topic8L2.
Numerical Analysis Lecture 38.
Numerical Integration Methods
Numerical solution of first-order ordinary differential equations
SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM (Term 101) Section 04 Read , 26-2, 27-1 CISE301_Topic8L6.
Assignment 1: due 1/16/19 Estimate all of the zero of x3-x2-2x+1 graphically. Write a MatLab code for Newton’s method. Use your code to refine the graphical.
SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM Read , 26-2, 27-1 CISE301_Topic8L3 KFUPM.
12.12 Lagrange Remainder Mathboat.com.
Numerical Computation and Optimization
ME 123 Computer Applications I Lecture 25: MATLAB Overview 4/28/03
CISE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM Read , 26-2, 27-1 CISE301_Topic8L7 KFUPM.
CISE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM Read , 26-2, 27-1 CISE301_Topic8L1 KFUPM.
Numerical solution of first-order ordinary differential equations 1. First order Runge-Kutta method (Euler’s method) Let’s start with the Taylor series.
CISE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM Read , 26-2, 27-1 CISE301_Topic8L6 KFUPM.
CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4: KFUPM CISE301_Topic1.
Recapitulation of Lecture 12
Presentation transcript:

WELCOME TO MY CLASS NUMERICAL METHOD Name : Masduki E-mail : masduki918@yahoo.co.id Blog : masdukiums.wordpress.com

LEARNING CONTRACT The student or lecturer who come late more than 10 minutes is not permitted Use the silent mode on mobile phone in the lesson The student who wear “sandal” is not permitted

OBJECTIVES COURSE Be able to solve mathematical problems using numerical method Be able to analyze the advantages and disadvantages of the method Be able to compare the advantages and disadvantages of the methods

Errors in Numerical Methods Taylor Series Numbers on Computers OUTLINE COURSE Errors in Numerical Methods Taylor Series Numbers on Computers Numerical Differentiation Using Taylor Expansion A Generic Algorithm

Solution of Nonlinear Equations Bisection False Position Fixed Point Newton Secant Polinomial Interpolation Newton Formula Lagrange Formula

Initial Value Problem of ODE Numerical Integration Trapezoidal Rule Simpson’s Rule Numerical Integration in a Two Dimensional Domain Initial Value Problem of ODE Euler Method Runge Kutta Method

REQUIRED TEXT Nakamura, Soichiro, Applied Numerical Methods with Software, Prentice-Hall International Editions, 1991.