A study on some nonstandard partial differential equations

This thesis is in five chapters. The first chapter is about the fundamental concepts. In the second chapter, a literature review is conducted in general. The third chapter concentrates on the materials and methods. The fourth chapter explains four different approaches applied to two other mathematical models. The fifth chapter starts with conclusions and recommendations. Most importantly, the extended rational sin-cos method has been modified, and we think that its new version, the modified extended rational sin-cos method, is promising for the future of solving differential equations. Several new exponential, logarithmic, trigonometric, and complex function solutions for some differential equations are obtained by applying BSEFM, the extended rational sin-cos method, and the modified exponential function method. The results of these three methods discussed are also graphed and analyzed.