Dr. NURCAN BAYKUŞ SAVAŞANERİL, Editor
2024
PREFACE The book also includes experimental The purpose of this book is to present comprehensive and innovative approaches to solving challenging problems in the fields of engineering and applied mathematics. It focuses in particular on the two-dimensional heat equation and delves deeply into how this equation can be solved across different geometric domains (square, rectangular, elliptical, and triangular). The solution methods for these geometric regions have been developed based on Green's functions and elliptic functions, and these novel approaches are compared to classical methods. The book also details how the results of these methods compare to those obtained discretization Fourier through techniques, traditional Discrete Transforms, Separation of Variables Method, and the Finite Element Method. demonstrate that The these findings new approaches provide more accurate and reliable results. The book emphasizes how these methods can be practically applied to complex geometries commonly encountered in disciplines such as engineering and physics, offering a valuable resource for studies on the geomechanical behavior of alabastrine-type gypsum. In this context, a detailed analysis of uniaxial and triaxial tests carried out on gypsum samples obtained from the Sivas region is presented, focusing on the long-term stability of these samples. The deformation properties and creep behavior of alabastrine-type gypsum over time are examined, revealing important results for underground storage systems. The book offers new insights into the behavior of gypsum in underground openings such as natural gas storage and provides a comprehensive understanding of how these structures change over time. The data presented in this section serve as an essential guide for researchers working in the fields of underground engineering and geotechnics. Other sections of the book focus on modern technologies used in agriculture and engineering, as well as their applications. In particular, the
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