In the present book, attempts have been made to conquer the difficulty of solving nonlinear differential equations, especially the highly nonlinear ones. A convenient approach (AGM = Akbari-Ganjis method) has been proposed to solve all the existing nonlinear ordinary differential equations up to now. Here, all the existing nonlinear ODEs have been divided into some categories, and for each of them, an innovative technique has been introduced to find their exact solution. Moreover, a suitable technique has been proposed to evaluate the precision of the acquired solution, which can be utilized when there is not any exact solution and the problem is not solvable by numerical methods, such as some kinds of inverse problems. One of the significant nobilities of this book refers to the ability of AGM in solving partial differential equations in different aspectsfor instance, fluid mechanics, heat transfer, and vibration, as discussed in the sixth chapter. Eventually, we hope this book can be considered as a suitable guide for all the people who deal with nonlinear differential equations.
Mengenai Pengarang
Alireza Ahmadi took his master of science degree in the field of mechanical engineering (energy conversion) from Azad University of Sari and is greatly familiar with nonlinear phenomena. Also, he is an expert in solar systems, especially in the production of solar water-heating systems. Moreover, he is experienced in nanomaterials.
Mohammadreza Akbari graduated from Tehran University in the field of chemical engineering. Also, he has a master of science degree in civil engineering. He published nine books in various fields like engineering mathematics, strength of materials, fluid mechanics, hydraulics, and advanced mathematics in Iranian publications.
Davood Domairry Ganji is a full professor in the department of mechanical engineering at the Noshirvani-Babol University of Technology, Iran. He published more than twelve books in different publications such as Elsevier, Springer, Cambridge, etc. He also published more than five hundred papers in international journals and is the editor in chief of the International Journal of Nonlinear Dynamics in Engineering and Sciences (IJNDES) and the editor of the two following journals: International Journal of Nonlinear Sciences and Numerical Simulation (IJNSNS) and International Journal of Differential Equations (Scientist in the Field of Engineering, http://sciencewatch.com/dr/ne/08decne/).
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