USING B-SPLINE WAVELETS FOR SOLVING FRACTIONAL ORDER FOKKER-PLANK EQUATIONS, By Mehdi Babaei Ghalehjoogh

Research

Title	USING B-SPLINE WAVELETS FOR SOLVING FRACTIONAL ORDER FOKKER-PLANK EQUATIONS
Type	Presentation
Keywords	Fokker-Plank equation, Caputo derivative, B-spline wavelets, spectral methods
Researchers	Monire Nosrati Sahlan، Maryam Atapour، Mehdi Babaei Ghalehjoogh

Abstract

In this paper, cubic B-spline wavelets are used to obtain the numerical solution of Fokker-Plank equations of fractional order, in the Caputo sense. The operational matrices of fractional derivative and integral for cubic B-spline wavelets are constructed and utilized via Galerkin and collocation spectral methods to transform the main problem to some algebraic system. The suggested approach’s accuracy and applicability are demonstrated using an illustrative example.