2003
DOI: 10.1017/cbo9780511615542
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Solving ODEs with MATLAB

Abstract: This book is for people who need to solve ordinary differential equations (ODEs), both initial value problems (IVPs) and boundary value problems (BVPs) as well as delay differential equations (DDEs). These topics are usually taught in separate courses of length one semester each, but Solving ODEs with MATLAB provides a sound treatment of all three in about 250 pages. The chapters on each of these topics begin with a discussion of "the facts of life" for the problem, mainly by means of examples. Numerical metho… Show more

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Cited by 677 publications
(466 citation statements)
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References 77 publications
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“…This is a finite difference code that implements the three-stage Lobatto IIIa formula, which is a collocation method with forth-order accuracy. Examples of solving boundary value problems with bvp4c can be found in a book by Shampine et al [6] or through an online tutorial by Kierzenka [7]. For the sake of simplicity, we consider fixed value of a = 1 throughout the computation of this problem.…”
Section: Resultsmentioning
confidence: 99%
“…This is a finite difference code that implements the three-stage Lobatto IIIa formula, which is a collocation method with forth-order accuracy. Examples of solving boundary value problems with bvp4c can be found in a book by Shampine et al [6] or through an online tutorial by Kierzenka [7]. For the sake of simplicity, we consider fixed value of a = 1 throughout the computation of this problem.…”
Section: Resultsmentioning
confidence: 99%
“…The BVP is solved with the MATLAB™ bvp4c routine, using the three-stage Lobatto IIIa collocation method [11]. It is validated using the results observed in [10] for Figure 6 shows the relative deflections w R obtained when solving the coupled ODE system for a constant SRP load at 1 AU and using hinged edge support.…”
Section: Sail Shape Control Using Variable Reflectivity Distribumentioning
confidence: 92%
“…It is not sufficient to know an initial state at t = 0 to solve a DDE for t > 0; instead, it requires a knowledge of all prior states in the interval t ∈ [−T, 0]. Even then, solving nonlinear (or even linear) DDEs is not simple and is normally possible only numerically and in the time domain [7,Ch. 4].…”
Section: The Dlr Modelmentioning
confidence: 99%