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Implicit ODEs

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Abstract

Modern theories and methods for solving ODEs have been implemented in a broad range of software applications and tools. The theory of numerical solution search is well understood, and there are robust methods for solving different types of problems. However, the theory of differential algebraic equations (DAEs) has not been studied to the same extent as ODEs. There were some extended studies carried out by Ascher and Petzold [1], but that was in the 1970s. Despite that there are many important applications of DAEs to model various systems, the methods to solve DAEs are limited to a certain extent because the problems used with DAEs are difficult to solve, and the theories behind DAEs are hard to understand. Therefore, there are a limited number of studies and literature devoted to DAEs. In this chapter, we will show some of the available tools of MATLAB/Simulink that can solve DAEs.

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© 2020 Sulaymon L. Eshkabilov

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Eshkabilov, S.L. (2020). Implicit ODEs. In: Practical MATLAB Modeling with Simulink. Apress, Berkeley, CA. https://doi.org/10.1007/978-1-4842-5799-9_6

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