In this paper, we use a non-polynomial spline method to develop a numerical technique for
solving linear fourth-order boundary-value problems which are first reduced to a system of …

In this paper, we present a new quartic B-spline collocation method for linear and nonlinear
fifth order boundary value problems. The method is fourth order convergent. It develops not …

In this paper, we mainly study the numerical solution of linear fifth order boundary value
problems by using cubic B-splines. Our algorithm develops not only the cubic spline …

In this paper a finite element method involving Petrov-Galerkin method with quintic B-splines
as basis functions and septic B-splines as weight functions has been developed to solve a …

This article introduces a Haar wavelet-based numerical method for solving fifth-order linear
and nonlinear differential equations. This method easily handles both homogeneous and …

Two families of certain nonsymmetric generalized Jacobi polynomials with negative integer
indexes are employed for solving third-and fifth-order two point boundary value problems …

Spline collocation method for solution of the linear boundary value problems are developed
by using Eighth-degree B-spline. Formulation of Eighth degree Bspline are derived and …

Cubic Hermite collocation method is proposed to solve two point linear and nonlinear
boundary value problems subject to Dirichlet, Neumann, and Robin conditions. Using …

In this study, we constructed a numerical technique for solving sixth order boundary value
problems (BVPs) by using non-polynomial spline method. We first reduced the sixth order …

A sixth-order numerical scheme is developed for general nonlinear fifth-order two point
boundary-value problems. The standard sextic spline for the solution of fifth order two point …