This paper describes the exceptionally precise results of 6 th-order and 8 th-order nonlinear
boundary-value problems (BVPs). Cubic-Nonpolynomial spline (CNPS) and Cubic …

An inventive strategy is bestowed here to acquire the numeral roots of nonlinear boundary
value problems (BVPs) of 14th-order utilizing cubic splines. Two cubic splines; Polynomial …

This article introduces two numerical methods to address boundary value problems
associated with secondorder and fractional differential equations. These methods employ …

In this paper, we study a new quintic B-spline collocation method for linear and nonlinear
second order mixed boundary value problems. Convergence is studied and the method is …

Fractional calculus is a natural extension of the integer order calculus and recently, a large
number of applied problems have been formu# lated on fractional differential equations …

In this paper, cubic polynomial and nonpolynomial splines are developed to solve solutions
of 10th-and 12th-order nonlinear boundary value problems (BVPs). Such types of BVPs …

In this paper, we develop quintic nonpolynomial spline methods for the numerical solution of
fourth order two-point boundary value problems. Using this spline function a few consistency …

The aim of this paper is to find the numerical solutions of the second order linear and
nonlinear differential equations with Dirichlet, Neumann and Robin boundary conditions. We …

This paper is devoted to the construction of certain polynomials related to Lucas
polynomials, namely, modified Lucas polynomials. The constructed modified Lucas …

Fractional differential equations are widely applied in physics, chemistry as well as
engineering fields. Therefore, approximating the solution of differential equations of …