Overview

The successive chapters of this book develop the work with Ordinary Differential Equations (ODEs), Boundary Value Problems (BVPs), Partial Differential Equations (PDEs), Delay Differential Equations (DDEs) and Numerical Integration. The contents are explained through representative examples that show how to work with MATLAB commands and functions in the chapters mentioned above. The most important content is the following: Algebraic Differential Equations (DAEs) Ordinary Differential Equations (ODEs) Choose an ODE Solver Systems of ODEs Higher-Order ODEs Complex ODEs ODE Event Location Solve Nonstiff ODEs Solve Stiff ODEs Solve Differential Algebraic Equations (DAEs) Nonnegative ODE Solution Troubleshoot Common ODE Problems Boundary Value Problems (BVPs) BVP Solver Partial Differential Equations (PDEs) Partial Differential Equations Function Summary Initial Value Problems PDE Solver Integrator Options Delay Differential Equations (DDEs) Constant Delay DDEs Time-Dependent and State-Dependent DDEs DDEs of Neutral Type Discontinuities in DDEs DDE with Constant Delays State-Dependent Delay Problem Cardiovascular Model with Discontinuities DDE of Neutral Type Initial Value DDE of Neutral Type Numerical Integration Integration to Find Arc Length Complex Line Integrals Singularity on Interior of Integration Domain Analytic Solution to Integral of Polynomial Integration of Numeric Data Calculate Tangent Plane to Surface

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9781973948407

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