## Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations

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- Differential Equations for Engineers: The Essentials.
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Toggle navigation Additional Book Information. Description Table of Contents. Summary Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations first, second, and higher order in addition to partial differential equations linear and nonlinear.

## Fuzzy Differential Equations and Applications for Engineers and Scientists

Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations. Welcome to CRCPress.

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What are VitalSource eBooks? Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas.

In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact fixed ones, by turning general differential equations into Fuzzy Differential Equations "FDEs".

## differential-equations-for-engineers-and-scientists-1st-edition

In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

Snehashish Chakraverty, Ph. He was visiting professor at Concordia, McGill and Johannesburg universities.

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Stochastic Differential Equations and Applications. Browse book content About the book Search in this book. Browse content Table of contents. Description This advanced undergraduate and graduate text has now been revised and updated to cover the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form.