Presentation is loading. Please wait.

Presentation is loading. Please wait.

02-04/06/2015 MNT 521 - OREN, EE Numerical Methods for Differential Equations Department of Biomedical Engineering Department of Materials Science & Nanotechnology.

Published byAugustus Arthur Todd Modified over 9 years ago

Similar presentations

Presentation on theme: "02-04/06/2015 MNT 521 - OREN, EE Numerical Methods for Differential Equations Department of Biomedical Engineering Department of Materials Science & Nanotechnology."— Presentation transcript:

1 02-04/06/2015 MNT 521 - OREN, EE Numerical Methods for Differential Equations Department of Biomedical Engineering Department of Materials Science & Nanotechnology Engineering TOBB University of Economics and Technology Ankara - TURKEY eeoren@etu.edu.tr http://eeoren.etu.edu.tr Dr. Ersin Emre Oren MNT 521 Computational Methods in Bio- & Nano-technology

2 02-04/06/2015 MNT 521 - OREN, EE Solution Interval Differential Equation f(x,y) Initial Condition Numerical Solution of Differential Equations

3 02-04/06/2015 MNT 521 - OREN, EE f(x,y) Euler Methot: y i+1 Numerical Solution of Differential Equations

4 02-04/06/2015 MNT 521 - OREN, EE f(x,y) Heun Methot: P2P2  x. f(x i+1,P 1 ) y i+1 P1P1 Numerical Solution of Differential Equations

Download ppt "02-04/06/2015 MNT 521 - OREN, EE Numerical Methods for Differential Equations Department of Biomedical Engineering Department of Materials Science & Nanotechnology."

Similar presentations

Complex exponentials as input to LTI systems h(t) h[n] H(e j ) e j n e j t e j n H(j ) e j t Cos as input… use Euler formula.

Complex exponentials as input to LTI systems h(t) h[n] H(e j ) e j n e j t e j n H(j ) e j t Cos as input… use Euler formula.
Chapter 6 Differential Equations

Chapter 6 Differential Equations
Copyright © 2008 Pearson Education, Inc. Chapter 10 Differential Equations Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Chapter 10 Differential Equations Copyright © 2008 Pearson Education, Inc.
University of Utah Advanced Electromagnetics Green’s Function Dr. Sai Ananthanarayanan University of Utah Department of Electrical and Computer Engineering.

University of Utah Advanced Electromagnetics Green’s Function Dr. Sai Ananthanarayanan University of Utah Department of Electrical and Computer Engineering.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 32 Ordinary Differential Equations.

ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 32 Ordinary Differential Equations.
Implicit Functions The equation y = mx + b is an explicit function –y is considered the dependent variable –x is the independent variable The equation.

Implicit Functions The equation y = mx + b is an explicit function –y is considered the dependent variable –x is the independent variable The equation.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 31 Ordinary Differential Equations.

ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 31 Ordinary Differential Equations.
Dr. Jie Zou PHY 33201 Chapter 9 Ordinary Differential Equations: Initial-Value Problems Lecture (II) 1 1 Besides the main textbook, also see Ref.: “Applied.

Dr. Jie Zou PHY Chapter 9 Ordinary Differential Equations: Initial-Value Problems Lecture (II) 1 1 Besides the main textbook, also see Ref.: “Applied.
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.

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.
Converting a Chemical Engineering Problem into Excel VBA Program

Converting a Chemical Engineering Problem into Excel VBA Program
CISE301_Topic8L31 SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture 28-36 KFUPM (Term 101) Section 04 Read 25.1-25.4, 26-2,

CISE301_Topic8L31 SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture KFUPM (Term 101) Section 04 Read , 26-2,
Numerical Solutions of Differential Equations Taylor Methods.

Numerical Solutions of Differential Equations Taylor Methods.
PART 7 Ordinary Differential Equations ODEs

PART 7 Ordinary Differential Equations ODEs
Chapter 2 Solution of Differential Equations Dr. Khawaja Zafar Elahi.

Chapter 2 Solution of Differential Equations Dr. Khawaja Zafar Elahi.
16/06/2015 MNT 521 - OREN, EE Numerical Methods for Differential Equations Department of Biomedical Engineering Department of Materials Science & Nanotechnology.

16/06/2015 MNT OREN, EE Numerical Methods for Differential Equations Department of Biomedical Engineering Department of Materials Science & Nanotechnology.
Section 6.1: Euler’s Method. Local Linearity and Differential Equations Slope at (2,0): Tangent line at (2,0): Not a good approximation. Consider smaller.

Section 6.1: Euler’s Method. Local Linearity and Differential Equations Slope at (2,0): Tangent line at (2,0): Not a good approximation. Consider smaller.
A Numerical Technique for Building a Solution to a DE or system of DE’s.

A Numerical Technique for Building a Solution to a DE or system of DE’s.
9/22/2015 1 Runge 2 nd Order Method Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker

9/22/ Runge 2 nd Order Method Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker
EE3561_Unit 8Al-Dhaifallah14351 EE 3561 : Computational Methods Unit 8 Solution of Ordinary Differential Equations Lesson 3: Midpoint and Heun’s Predictor.

EE3561_Unit 8Al-Dhaifallah14351 EE 3561 : Computational Methods Unit 8 Solution of Ordinary Differential Equations Lesson 3: Midpoint and Heun’s Predictor.
Modeling and simulation of systems Numerical methods for solving of differential equations Slovak University of Technology Faculty of Material Science.

Modeling and simulation of systems Numerical methods for solving of differential equations Slovak University of Technology Faculty of Material Science.

Similar presentations

Ads by Google