شماره ركورد كنفرانس :
4091
عنوان مقاله :
An approach for numerical solution of nonlinear Volterra integro-differential equation of fractional order via Legendre wavelets
پديدآورندگان :
Khodadad Mohammad Taghi khodadad44@gmail.com Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran , Atabak Sayed Saeid Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
كليدواژه :
Fractional nonlinear Volterra integro , differential equation , Operational matrix , Legendre wavelets , Riemann , Liouville fractional integration , Caputo derivative.
عنوان كنفرانس :
ششمين سمينار آناليز عددي و كاربردهاي آن
چكيده فارسي :
This paper presents a computational method for solving nonlinear fractional Volterra
integro-differential equation (NFVIDE) using Legendre wavelets. First, we convert the NFVIDE
into a system of nonlinear algebraic equations using Legendre wavelets operational
matrix. Then, by solving this system, we obtain the approximate solution of the main problem.
In addition, we solve an example by the proposed method and the Haar wavelets method.
Also, approximate solutions are compared with the exact solution.
