İlkay Bakırtaş

Istanbul Technical University

Dr. İlkay Bakırtaş is working as an associate professor of applied mathematics in Istanbul Technical University, Department of Mathematical Engineering. She received her PhD degree in Mechanics from Istanbul Technical University in 2003. She has completed her post doctoral studies in University of Colorado at Boulder, USA. She has published 15 research papers in peer reviewed journals in SCI, 4 book chapters, 17 conference proceedings in the fields of perturbation methods, nonlinear wave propagation in arteries, optical solitons and wave collapse in optics and water waves problems. Dr. Bakırtaş is a member of Scientific Committee of TUMTMK (Turkish National Committee of Theoretical and Applied Mechanics) and she was awarded with Dr. Serhat Ozyar, Young Scientist Of The Year Award in 2004, Best PhD Dissertation Award by TUMTMK in 2003.

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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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