Open access peer-reviewed Edited Volume

Perturbation Methods with Applications in Science and Engineering

Edited by İlkay Bakırtaş

Istanbul Technical University

The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.

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Perturbation Methods with Applications in Science and EngineeringEdited by İlkay Bakırtaş

Published: October 17th 2018

DOI: 10.5772/intechopen.72260

ISBN: 978-1-78984-256-2

Print ISBN: 978-1-78984-255-5

eBook (PDF) ISBN: 978-1-83881-668-1

Copyright year: 2018

Books open for chapter submissions

6093 Total Chapter Downloads

4 Crossref Citations

5 Dimensions Citations


Open access peer-reviewed

1. Density Functional Perturbation Theory to Predict Piezoelectric Properties

By Kaoru Nakamura, Sadao Higuchi and Toshiharu Ohnuma


Open access peer-reviewed

2. Sliding-Mode Perturbation Observer-Based Sliding-Mode Control for VSC-HVDC Systems

By Bo Yang, Tao Yu, Hongchun Shu and Pulin Cao


Open access peer-reviewed

3. A Formal Perturbation Theory of Carleman Operators

By Sidi Mohamed Bahri


Open access peer-reviewed

4. On Optimal and Simultaneous Stochastic Perturbations with Application to Estimation of High-Dimensional Matrix and Data Assimilation in High-Dimensional Systems

By Hong Son Hoang and Remy Baraille


Open access peer-reviewed

5. Periodic Perturbations: Parametric Systems

By Albert Morozov


Open access peer-reviewed

6. Mechanical Perturbations at the Working Electrode to Materials Synthesis by Electrodeposition

By Baudel Lara Lara, Arturo Fernández Madrigal, Lizbeth Morales Salas and Alejandro Altamirano Gutiérrez


Open access peer-reviewed

7. Application of the Method of Matched Asymptotic Expansions to Solve a Nonlinear Pseudo-Parabolic Equation: The Saturation Convection-Dispersion Equation

By Cíntia Gonçalves Machado and Albert C. Reynolds


Open access peer-reviewed

8. Perturbation Method for Solar/Infrared Radiative Transfer in a Scattering Medium with Vertical Inhomogeneity in Internal Optical Properties

By Yi-Ning Shi, Feng Zhang, Jia-Ren Yan, Qiu-Run Yu and Jiangnan Li


Edited Volume and chapters are indexed in

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  • Base
  • CNKI

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