Speaker
Dr. Mohsen Razzaghi, Professor of Mathematics, Department of Mathematics and Statistics, Mississippi State University
Title
Mathematics Seminar Series
Subtitle
Hybrid Functions For Calculus of Variations and Fractional Differential Equations
Physical Location
Allen 411
Abstract:
In recent years, hybrid functions consisting of the combination of block-pulse functions with orthogonal polynomials or polynomial series have found their way into many different fields of science and engineering. Many researchers started using hybrid functions, for analyzing problems of greater computational complexity and proved to be powerful tools to explore a new direction in solving problems in science and engineering.
Fractional differential equations (FDEs) are generalizations of ordinary differential equations to an arbitrary (non-integer) order. FDEs have attracted increasing attention and interest due to their ability to model complex phenomena. Generally speaking, most of the FDEs do not have exact analytic solutions. Therefore, finding numerical solutions to these equations is significant.
This talk first provides an introduction to hybrid functions. Then, an efficient numerical method based on hybrid functions for solving the calculus of variations problems and FDEs are presented. The numerical solutions are compared with available exact or approximate solutions to assess the accuracy of the proposed method.
Note:
Contact Prof. Shantia Yarahmadian at syarahmadian@math.msstate.edu or (662) 325-7143 for additional information.