Nonlinear Equations and Dynamical Systems
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An equation whose graph solution does not form a straight line is referred to as a nonlinear equation. The variables of a nonlinear equation are either of a degree greater than one or less than one but never one. In solving a nonlinear equation by iterative method, a trial solution is assumed. Thereafter, the trial solution is substituted into the nonlinear equation to determine the error or mismatch, and the mismatch is used in some systematic manner to generate an improved estimate of the solution. Dynamical system refers to an area of study within mathematics which seeks to understand the g...
An equation whose graph solution does not form a straight line is referred to as a nonlinear equation. The variables of a nonlinear equation are either of a degree greater than one or less than one but never one. In solving a nonlinear equation by iterative method, a trial solution is assumed. Thereafter, the trial solution is substituted into the nonlinear equation to determine the error or mismatch, and the mismatch is used in some systematic manner to generate an improved estimate of the solution. Dynamical system refers to an area of study within mathematics which seeks to understand the geometrical properties of trajectories and long-term behavior. These systems use discrete mappings or ordinary differential equations to describe the evolution of a state variable over time. This book aims to shed light on some of the unexplored aspects of nonlinear equations and dynamical systems. It presents researches and studies performed by experts across the globe. The book will serve as a valuable source of reference for graduate and postgraduate students.
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