Boundary Value Problems for Engineers

1. Front Matter

   Pages i-xv

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2. Computing Zeros of Nonlinear Univariate Functions

   • Ali Ümit Keskin

   Pages 1-41

3. Solution of Nonlinear Systems of Equations

   • Ali Ümit Keskin

   Pages 43-88

4. Boundary Value Problems (BVPs) for ODEs

   • Ali Ümit Keskin

   Pages 89-136

5. Boundary Value Green’s Functions

   • Ali Ümit Keskin

   Pages 137-165

6. The Shooting Method for the Solution of One-Dimensional BVPs

   • Ali Ümit Keskin

   Pages 167-258

7. Finite Difference Methods for the Solution of BVPs

   • Ali Ümit Keskin

   Pages 259-309

8. Adomian Decomposition Method (ADM)

   • Ali Ümit Keskin

   Pages 311-359

9. Collocation, Galerkin, and Rayleigh–Ritz Methods

   • Ali Ümit Keskin

   Pages 361-389

10. Approximating Solutions of BVPs Using Cubic B-Splines

    • Ali Ümit Keskin

    Pages 391-415

11. Solution of BVPs Using bvp4c and bvp5c of MATLAB

    • Ali Ümit Keskin

    Pages 417-510

12. Back Matter

    Pages 511-517

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This book is designed to supplement standard texts and teaching material in the areas of differential equations in  engineering such as in Electrical ,Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields.This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on  “Advanced Numerical Methods in Biomedical Engineering” at Yeditepe University and it is aimed to assist the students in solving general and application specific problems in Science and Engineering at upper-undergraduate and graduate level.Majority of the problems given in this book are self-contained and have varying levels of difficulty to encourage the student. Problems that deal with MATLAB simulations are particularly intended to guide the student to understand the nature and demystify theoretical aspects of these problems. 
Relevant references are included at the end of each chapter. 
Here one will also find large number of software that supplements this book in the form of MATLAB script (.m files). The name of the files used for the solution of a problem are indicated at the end of each corresponding problem statement.
There are also some exercises  left to students as homework assignments in the book. An outstanding feature of the book is the large number  and variety  of the solved problems that are included in it. Some of these problems can be found relatively simple, while others are more challenging and used for research projects. All solutions to the problems and script files included in the book have been tested using recent MATLAB software.
The features and the content of this book will be most useful to the students studying in Engineering  fields, at different levels of their education (upper undergraduate-graduate).

• Boundary Value Problems
• Ordinary Differential Equations
• Linear-Nonlinear Shooting
• Cubic B-Splines
• Adomian Decomposition
• Solved Problems in MATLAB
• Applications of differential equations
• Finite Difference Methods
• Galerkin Methods
• MATLAB built-in solvers bvp4c-bvp5c

• Department of Biomedical Engineering, Yeditepe University, Istanbul, Turkey

  Ali Ümit Keskin

A. Ümit Keskin received his BSEE degree from Bogazici University, MSEE from Yildiz Technical University and PhD degree from the Institute of Science and Technology, Istanbul Technical University, and then he joined Siemens AG, Turkey. He was actively engaged in the fields of Medical Instrumentation, Diagnostic Imaging and Radiotherapy throughout his professional career.
Since 2002, he is a staff member of Yeditepe University, Faculty of Engineering. Professor Keskin is one of the founders and recently the head of Biomedical Engineering Department at Yeditepe University, where he teaches Biomedical Engineering, Circuit Theory and Electrical Circuits in Biomedical Engineering courses. His main research interests are analog circuits and signal processing, sensors, transducers, and their computer simulation, medical instrumentation theory and its applications.​

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