Investigation an‎d numerical solution of a reaction-diffusion fractional differential equation

1/1/1900 12:00:00 AM

This thesis presents an analytical an‎d numerical study of a fractional reaction–diffusion differential equation with a moving boundary. The first chapter reviews the research background on this class of equations an‎d the theoretical foundations of fractional calculus. The second chapter introduces moving boundary problems an‎d numerical methods, with particular emphasis on spectral methods as powerful tools for the numerical solution of fractional equations. In the third chapter, the equation under investigation is presented, an‎d its analytical an‎d numerical solutions are discussed. The content of this chapter is primarily based on reference [1]. In the fourth chapter, the accuracy, efficiency, an‎d stability of the proposed methods are eva‎luated using numerical examples, an‎d the obtained results are compared with some existing methods in the literature.

حساب كسري , مسائل با كران متحرك , روش‌هاي طيفي , معادله ديفرانسيل واكنش–انتشار

Fractional Calculus , Moving boundary problems , Spectral methods , Reaction-diffusion equation

Haji seyed Hasan

Dr. Nikazad