In this paper, we present a numerical scheme for solving the Abel equation. The approach is based on the shifted Chebyshev polynomials together with operational method. We reduce the problem to a set of nonlinear algebraic ...

In this paper, it is an operational matrix method associating Chebyshev polynomials to solve linear Fredholm-Volterra integro-differential (FVDE) equations. Using Chebyshev finite series, the method reduces any problem to ...

In this study, a spectral collocation matrix method has been introduced to solve the linear Fredholm integro differential–difference equation (LFIDDE) numerically. The method is combined Chebyshev series and matrix algebras. ...

We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions ...

This paper deals with the numerical solution of Lane-Emden equations in arising in astrophysics by using truncated shifted Chebyshev series together with the operational matrix. The main characteristic behind the approach ...

In recent times, operational matrix methods become overmuch popular. Actually, we have many more operational matrix methods. In this study, a new remodeled method is offered to solve linear Fredholm-Volterra integro-differential ...

In this paper, fractional order Chebyshev polynomials are presented and some properties are given. Using definition of fractional order Chebyshev polynomials, we give a numerical scheme for solving fractional differential ...