Hybrid Systems of Differential Equations

Beschreibung

This book intends to present the basic methods for the numerical solution of hybrid differential systems in a variety of settings. These systems evolve mostly continuously in time but have formatting changes in their governing equations at a sequence of discrete times. Many authors have considered ordinary, fuzzy, stochastic, fractional, and impulsive differential equations and their extensions to hybrid systems. We focus on their numerical solution mostly by the Euler and Runge-Kutta methods, as many authors have studied and worked with more varied and specialized numerical techniques. We provide detailed proofs of the convergence of the numerical schemes which can be extended to other methods. In the Appendix we provide the Maple codes used in the text so that readers may implement their own methods of solution and obtain graphical results. We hope that the readers will extend the presented results in new directions and create applications in their scientific and technological fields involving hybrid differential equations.

Autor*in

Steven Pederson

Themen in »Hybrid Systems of Differential Equations«

Differentialgleichung Fuzzy Stochastik Fuzzy Differential Equation Stochastic Differential Equation Fractional Differential Equation Runge-Kutta-Method Impulsive Differential Equation

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