differential transformation method for mechanical engineering problem

Many phoenomena in the nature need to be modeled mathmatically or numerically for better perception of its physic and enhance the researchers to solve the possible problems. mechanical engineering, chemical engineering, petroleum, energy crisis, industrial heat exchangers, boilers,engines, etc. all contain some studies which need mathematical modeling.

during most of tese modelings,ordinary differential equations or partially differential equations will nappear and need poweful solution methods, numerically or analytically. current book introduces the diffrential transformation method (DTM) as one of the most poerful mathematic analytic methods for solving these differntial equations. the contents of the current book are able to benefit engineers, researchers, and graduate students who want to develop their knowladge in basic phenomena of all sciences, especially mechanical engineering.

in the introductpry chapters (chaptera 1 and 2), DTM is introduced in simple and complicated versions including all improvements. in other chapters (chapters 3-8), application of DTM on verious examples in solid and fluid mechanics is demonstarted, and several examples of recentlypublished pap[ers from high-quality journals are included to illuminate the subject. the authors are very much pleased to receive the readers comments and amendments on the materials of the book. finally, we would like to express our sincere thanks to the staff of books publishing at elsevire for their helpful support.

we hope this book will be of great benefit to you.

Mohammad Hatami
Assistant Professor of Mechanical Engineering Department, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran