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keskin ordinary differential equations matlab solutions 2019

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Textbook in PDF format This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike. (перевод) В монографии представлен учебный материал в области дифференциальных уравнений при рассмотрении приложений и тем в области электротехнической и биомедицинской инженерии. Книга содержит задачи с различными уровнями сложности, в том числе и математические моделирования. Целевая аудитория состоит из продвинутых студентов и аспирантов, а также преподавателей, но книга также может быть полезна для практикующих инженеров. Contents: Preface Disclaimer About the Author Basic Concepts Definitions and Preliminaries First Order Ordinary Differential Equations Fundamentals of First Order ODEs Direction Fields Systems of First Order ODEs Applications of First Order ODEs References Second and Higher Order Ordinary Differential Equations Linearity and the Wronskian Linear Second-Order ODEs Reduction of Order Cauchy-Euler ODEs Method of Undetermined Coefficients Variation of Parameters References Series Solutions of Second-Order Ordinary Differential Equations Power Series and Convergence Taylor Series and Polynomials Ordinary and Singular Points Series Solutions Near an Ordinary Point Series Solutions Near a Singular Point; the Method of Frobenius References Special Differential Equations, Functions, and Polynomials Gamma Function Bessel Equation, Bessel Functions, and Polynomials Chebyshev Equation, Chebyshev Functions, and Polynomials Legendre Equation, Legendre Functions and Polynomials Laguerre Equation and Polynomials Hermite Equation and Polynomials References Laplace Transform Methods Laplace Transform and Its Properties Inverse Laplace Transforms, Initial and Final Values Solutions of Linear ODEs Using Laplace Transforms Applications of Laplace Transform Methods References Systems of First-Order Linear Equations Review of Matrices, Linear Independence, Eigenvalues, Eigenvectors Order Reduction of Second- and Higher Order ODEs in Matrix Form Homogeneous Systems with Constant Coefficients The Matrix Exponential Function The Jordan Form Matrix Methods and Solutions of Nonhomogeneous ODEs in MATLAB References Numerical Solutions of Differential Equations Euler Methods Second-Order Methods Numerical Solution of Second-Order ODEs (Backward Euler Method) Fourth and Higher Order Numerical Methods Variable Step Size Methods Multistep Methods Runge-Kutta-Nystrom (RKN) Method Stiff ODEs Numerical Solution of Implicit ODEs References Nonlinear Ordinary Differential Equations Phase Plane Analysis of Linear Systems Autonomous Equations and Stability Almost (Locally) Linear Systems Limit Cycles, Competing Species, Chaos References More Applications of ODEs Buoyancy Problem Mass-Spring Systems Numerical Solutions: Flame Propagation, Logistic Growth, Vertical Projectile Belousov-Zhabotinsky Oscillating Chemical Reac Electric Circuits Hodgin-Huxley and Fitzhugh-Nagumo Spiking Neuron Models Mixing Tank and Chemical Reactions in a Batch Reactor Modeling Quadrotor Dynamics Pendulum Problems Satellite Orbits References Appendix: Mathematical Formulas and Tables Index

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Keskin A. Ordinary Differential Equations for Engineers...2019.pdf 22.1 MB

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keskin ordinary differential equations matlab solutions 2019