TY - JOUR
JF - jsci
JO -
VL - 14
IS - 3
PY - 2014
Y1 - 2014/10/01
TI - Numerical solution of fractional Volterra integro-differential equations via the rationalized Haar functions
TT - حل عددی معادلات انتگرال دیفرانسیل ولترای کسری با استفاده از توابع هار گویا شده
N2 - In this paper rationalized Haar (RH) functions method is applied to approximate the numerical solution of the fractional Volterra integro-differential equations (FVIDEs). The fractional derivatives are described in Caputo sense. The properties of RH functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce the computation of FVIDEs into a system of algebraic equations. By using this technique for solving FVIDEs time and computational are small. Numerical examples are given to demonstrate application of the presented method with RH functions base.In this paper rationalized Haar (RH) functions method is applied to approximate the numerical solution of the fractional Volterra integro-differential equations (FVIDEs). The fractional derivatives are described in Caputo sense. The properties of RH functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce the computation of FVIDEs into a system of algebraic equations. By using this technique for solving FVIDEs time and computational are small. Numerical examples are given to demonstrate application of the presented method with RH functions base.
SP - 211
EP - 2
AU - Ordokhani, Yadollah
AU - Rahimi, Neda
AD - Alzahra University
KW - Rationalized Haar
KW - Fractional Volterra integro-differential equation
KW - Riemann-Liouville
UR - http://jsci.khu.ac.ir/article-1-1845-en.html
ER -