In this paper, we propose a non-polynomial spline based method to develop a numerical
method for approximation to the Burgers' equation. Applying the Von-Neumann stability …

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 …

In the present paper, we study the Cubic-B splines to find numerical solution of 6th order
nonlinear boundary value problems arising in astrophysics and the narrow convecting …

In this paper, we propose a simple efficient method for a sixth-order nonlinear boundary
value problem. It is based on the reduction of the problem to an operator equation for the …

In the present paper, we develop a septic B-spline method for solving a self-adjoint
singularly perturbed two-point boundary value problem. This method is applied directly to …

In this article, we propose a non-polynomial spline-based method to obtain numerical
solutions of the non-linear modified Burgers' equation. Applying the Von Neumann stability …

In this paper, parametric quintic spline method is presented to solve a linear special case
sixth order two point boundary value problems with two different cases of boundary …

Two point boundary value problems for sixth order, mildly nonlinear ordinary differential
equations, are encountered in various areas of science and technology. A three-point …

Methods of order two, four and six based on Exponential spline functions consisting of a
polynomial part of degree three and an exponential part is developed to find approximation …

This paper focuses on an efficient spline‐based numerical technique for numerically
addressing a second‐order Volterra partial integrodifferential equation. The time derivative …