The primary motivation of this paper is to extend the application of the reproducing-kernel
method (RKM) and the residual power series method (RPSM) to conduct a numerical …

This survey paper contains a large amount of material and indeed can serve as an
introduction to some of the ideas and methods for the solution of ordinary and partial …

A lot of numerical formulations of physical phenomena contain 9 th-order BVPs. The
presented probe intends to consider the spline solutions of the 9 th-order boundary value …

Differential equations have void applications in several practical situations, sciences, and
non sciences as Euler Lagrange equation in classical mechanics, Radioactive decay in …

In this paper, we propose a new three-level implicit nine point compact cubic spline finite
difference formulation of order two in time and four in space directions, based on cubic …

Nonpolynomial quintic spline functions are used to develop a numerical algorithm for
computing an approximation to the solution of a system of second order boundary value …

This paper presents an efficient wavelet collocation method that utilizes linear Legendre
multi-wavelets. Linear Legendre multi-wavelets are introduced as a new family of orthogonal …

A quadratic non-polynomial spline functions based method is developed to find
approximations solution to a system of second-order boundary-value problems associated …

In the present paper we describe a survey on recent spline techniques for solving boundary
value problems in ordinary differential equations. Here we discuss the summary of the …

In this paper, we propose a new three-level implicit nine-point compact finite difference
formulation of order two in time and four in space directions, based on spline in tension …