Preview

Differential Equ

Powerful Essays
Open Document
Open Document
5855 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Differential Equ
ation in matlabThe MathWorks - Support - Differential Equations in MATLAB

file:///C:/aainfors/Tech/work/Phys321/The%20MathWorks%20-%20...

home Worldwide

st ore

cont act us

si te hel p

Ri chard Sonnenf el d | My a ccount | Log out

Products & Services

Industries

Academia

Support

User Community

Company

Product Support
1510 - Differential Equations in MATLAB
Differential Problems in MATLAB 1. What Equations Can MATLAB Handle? 2. Where Can I Find Tutorials or Additional Information? Frequently Asked Questions 3. What Changes in Syntax Exist for ODE Solvers? 4. How Do I Reduce the Order of an ODE? 5. How Do I Solve Time-Dependent ODEs? 6. How Do I Use a Fixed Time Step? 7. How Do I Use Stochastic Differential Equations? Examples 8. Systems of Equations 9. Boundary Value Problem (BVP): Channel Flow Stiffness 10. What Is Stiffness? 11. Implicit vs. Explicit Methods 12. Examples Options 13. How Can I Change Options When Solving a Differential Equation? 14. What Option Parameters Can Be Modified? 15. How Can Options Be Used as Functions? Differential-Algebraic Equations and their Index 16. How Can Differential Algebraic Equations Systems Be Solved in MATLAB?

Section 1: What Equations Can MATLAB Handle?
MATLAB provides functions for solving several classes of problems involving differential equations: 1. Initial Value Problems for Ordinary Differential Equations (ODEs) This is the most popular type of problems solved using MATLAB ODE solvers. Initial value problems are typically solved with ODE45 for the nonstiff case, and with ODE15S in the stiff case. (For an explanation of Stiffness, refer to the section "What is Stiffness".) 2. Initial Value Problems for Differential Algebraic Equations (DAEs) These are frequently encountered in areas where conservation laws dictate a constant relationship between some variables. MATLAB can solve DAE's of index 1 using ODE15S or ODE23T. (For an explanation of index, refer to the section DAEs
Continue Reading
View Writing Issues

You May Also Find These Documents Helpful

  • Good Essays

    Mat 540 Final
    • 783 Words
    • 4 Pages

    Mat 540 Final

    example, in [a] you just enter x(x + 1)dy = 1 {1, 1/2}. [curly brackets for the initial conditions,…

    • 783 Words
    • 4 Pages
    Good Essays
    Read More
  • Satisfactory Essays

    PT1420 E1 Unit2 Lab2 Herrera Javier
    • 777 Words
    • 4 Pages

    PT1420 E1 Unit2 Lab2 Herrera Javier

    This lab requires you to focus on variable assignment and calculations. Read the following program prior to completing the lab.…

    • 777 Words
    • 4 Pages
    Satisfactory Essays
    Read More
  • Good Essays

    Hooks lab lab
    • 533 Words
    • 3 Pages

    Hooks lab lab

    to find spring constants of different springs using the slope of a graph of change in heights vs. the weight force. Also, to be able to understand how spring constants change when you add springs in a series or paralle…

    • 533 Words
    • 3 Pages
    Good Essays
    Read More
  • Powerful Essays

    EAS230Syllabus
    • 1748 Words
    • 8 Pages

    EAS230Syllabus

    MATLAB: command line mode, M files, data input, formatting output, file I/O, random numbers, statistics, reducing, solving equations, n equations in n unknowns, 2- and…

    • 1748 Words
    • 8 Pages
    Powerful Essays
    Read More
  • Satisfactory Essays

    Dbq Frq Study
    • 463 Words
    • 2 Pages

    Dbq Frq Study

    The following questions are listed chronologically by subjects. It is hoped that clues as to how subjects in United States History can be presented analytically can be identified by studying this list. Many of the questions required students to compare two or more periods of history, and these questions appear in each period specified in the essay. The questions are placed under the titles of the topics I use in my U.S. History A.P. course. I. The Founding of the Colonies, 1607-1688 1. "Throughout the Colonial period, economic concerns had more to do with the settling of British North America than did religious concerns." Assess the validity of this statement with specific reference to economic and religious concerns. (1990, question 2) 2. "Although New England and the Chesapeake region were both settled largely by people of English origin, by 1700 the regions had evolved into two distinct societies. Why did this difference in development occur?" Use the documents AND your knowledge of the colonial period up to 1700 to develop your answer. (1993, DBQ)** 3. "In the seventeenth century, New England Puritans tried to create a model society. What were their aspirations, and to what extent were those aspirations fulfilled during the seventeenth century?" (1983, question 2)…

    • 463 Words
    • 2 Pages
    Satisfactory Essays
    Read More
  • Satisfactory Essays

    Voltaire Dbq Analysis
    • 144 Words
    • 1 Page

    Voltaire Dbq Analysis

    Europeans treated non-Christians cruel, and unfair. Voltaire was a French philosopher and writer of the Age of Enlightenment. Voltaire urged people to stop people from treating each other wrong since they have different religions. Voltaire’s argument contradicted what was being done and the consequences that Document 5 has on the mindset in the 17th and 18th centuries is that he would be punished from saying bad things about Christians. In Document 5 it states, “But these people despise us; they treat us as isolators! Very well! I will tell them that they are grievously wrong.” This shows that Europeans think/believe that they are treating them fine and well but they think/believe the incorrect. This proves that Voltaire did show that Christians…

    • 144 Words
    • 1 Page
    Satisfactory Essays
    Read More
  • Satisfactory Essays

    Algebra 1: Discussion Questions
    • 993 Words
    • 4 Pages

    Algebra 1: Discussion Questions

    I can provide excellent help for MathLab work. Guarantee 100% score for any homework , self check , study plan as well as final exam.…

    • 993 Words
    • 4 Pages
    Satisfactory Essays
    Read More
  • Satisfactory Essays

    Assignment: Runge-Kutta Methods
    • 426 Words
    • 2 Pages

    Assignment: Runge-Kutta Methods

    In our case, f(x, u) = 2u + x + 4. At x = 0 (the initial state), and using x = 0.2, we have…

    • 426 Words
    • 2 Pages
    Satisfactory Essays
    Read More
  • Good Essays

    Flight Control Systems
    • 17127 Words
    • 69 Pages

    Flight Control Systems

    2 Longitudinal response to the control 2.1 Longitudinal dynamics . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 State space description . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 State variables . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.2 General state space model . . . . . . . . . . . . . . . . . . . 2.3 Longitudinal state space model . . . . . . . . . . . . . . . . . . . . 2.3.1 Numerical example . . . . . . . . . . . . . . . . . . . . . . . 2.3.2 The choice of state variables . . . . . . . . . . . . . . . . . . 2.4 Aircraft dynamic behaviour simulation using state space models . 2.4.1 Aircraft response without control . . . . . . . . . . . . . . . 2.4.2 Aircraft response to controls . . . . . . . . . . . . . . . . . 2.4.3 Aircraft response under both initial conditions and controls 2.5 Longitudinal response to the elevator . . . . . . . . . . . . . . . . . 2.6…

    • 17127 Words
    • 69 Pages
    Good Essays
    Read More
  • Satisfactory Essays

    Tutorial 4 Q derivative
    • 341 Words
    • 1 Page

    Tutorial 4 Q derivative

    8. Currency Call Option Premiums. List the factors that affect currency call option premiums and briefly explain the relationship that exists for each. Do you think an at-the-money call option in euros has a higher or lower premium than an at-the-money call option in Mexican pesos (assuming the expiration date and the total dollar value represented by each option are the same for both options)?…

    • 341 Words
    • 1 Page
    Satisfactory Essays
    Read More
  • Good Essays

    Derivatives
    • 427 Words
    • 2 Pages

    Derivatives

    Stock futures Stock futures are agreement to buy or sell a specified stock i.e. Equity share of a specified company in the future at a specified price. An investor who is interested in purchasing a share may buy the share in stock exchanges for cash. These agreements are transacted through future exchange with the help of brokers. The terms of the agreement are specified and standardized by the exchange to facilitate funding. A stock future contract may be settled on the prescribed delivery date by transfer of the underlining for cash. Alternatively it may be settled through a reverse fund on any day before the expiry date. A person who agrees to buy a share in the future at a specified price is said to buy a stock future. Commodity future Commodity future are standardized agreement to buy or sell specified quantities of physical commodities at a specified future date at a price already agreed upon at a time of contract. Such a contact has to be transacted through an organized exchange because future contracts are traded in organized stock exchange set up for the purpose of enabling future trading. It is the exchange which determines specification of future contracts, such as size of contracts, quality of commodities, delivery date, time and mode etc.commodity future contracts are line with all future contracts are characterized by the facility for closure of the contracts before maturity.…

    • 427 Words
    • 2 Pages
    Good Essays
    Read More
  • Powerful Essays

    Derivatives
    • 58054 Words
    • 233 Pages

    Derivatives

    1 Introduction to derivatives 1.1 Derivatives defined . . . . . . . . . . . . . . . . 1.2 Products, participants and functions . . . . . . . 1.3 Derivatives markets . . . . . . . . . . . . . . . . 1.3.1 Spot versus forward transaction . . . . . 1.3.2 Exchange traded versus OTC derivatives . 1.3.3 Some commonly used derivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 10 11 12 12 14 17 17 17 19 20 20 22 22 22 22 23 25 29 29 30 30 30 30 31 31 32 32 33 33…

    • 58054 Words
    • 233 Pages
    Powerful Essays
    Read More
  • Satisfactory Essays

    Derivatives
    • 3438 Words
    • 14 Pages

    Derivatives

    • Difference Between OTC And Exchange Traded Contracts • Payoffs of Futures and Forwards • FRA‘s • Margins • Types of Futures…

    • 3438 Words
    • 14 Pages
    Satisfactory Essays
    Read More
  • Good Essays

    derivatives
    • 672 Words
    • 3 Pages

    derivatives

    With an assortment of investment instruments available in the financial markets, derivatives have caught the attention of investors and their volumes are on the rise. However, since this market is relatively more complicated than the cash market awareness and participation continues to be low as far as retail investors are concerned. Therefore, in order to know as to what an average investor feels about derivatives we conducted a poll and the question asked was, "As an investor, what is your perception about derivative instruments" and the results were as follows.…

    • 672 Words
    • 3 Pages
    Good Essays
    Read More
  • Good Essays

    software testing
    • 396 Words
    • 8 Pages

    software testing

    Write a program in C/C++ to find the roots of a quadratic equation and perform the…

    • 396 Words
    • 8 Pages
    Good Essays
    Read More