Herein, we build and implement a combination of Lucas polynomials basis that fulfills the
spatial homogenous boundary conditions. This basis is then used to solve the time-fractional …

The main purpose of this article is to present a new technique for solving (1+ 1)
mixeddimensional difference integro-differential Equations (2D-MDeIDEs) in position and …

In this paper, a new collocation method based on the Pell–Lucas polynomials is presented
to solve the parabolic-type partial Volterra integro-differential equations. According to the …

In this study, a Pell–Lucas matrix-collocation method is used to solve a class of Fredholm-
type delay integro-differential equations with variable delays under initial conditions. The …

In this study, a novel matrix method based on Lucas series and collocation points has been
used to solve nonlinear differential equations with variable delays. The application of the …

This paper proposes a combined operational matrix approach based on Lucas and Taylor
polynomials for the solution of neutral type di erential equations with proportional delays …

This paper introduces a Pell-Lucas collocation method for solving Volterra integral
equations of the second kind. The proposed method employs collocation points and …

In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro‐
differential equations using fourth kind shifted Chebyshev polynomials as basis functions …

In this study, a matched numerical method based on Hermite and Taylor matrix-collocation
techniques is developed to obtain the numerical solutions of a combination of the partial …

In this study, Lucas polynomial approximate solution is considered to develop a collocation
technique for solving optimal control problems with implementation in block using forward …