A finite difference scheme which depends on a new approximation based on an extended
cubic B-spline for the second order derivative is used to calculate the numerical outcomes of …

A new extended cubic B-spline (ECBS) approximation is formulated, analyzed and applied
to obtain the numerical solution of the time fractional Klein–Gordon equation. The temporal …

In this research, second order linear two-point boundary value problems are treated using
new method based on hybrid cubic B-spline. The values of the free parameter, Gamma, are …

Lobatto-reproducing kernel method (L-RKM) has been initially proposed for a linear system
of second-order boundary value problems. Based on Lobatto orthogonal polynomials a high …

In this paper, we develop the extended cubic B-spline method for solving a system of
nonlinear second-order boundary value problems. A quasilinearization approach is used …

In this paper, a powerful modified technique based on the residual power series method
(RPSM) has been formulated for the solutions of system of linear and nonlinear algebraic …

This study deals with the numerical solution of a class of linear systems of second-order
boundary value problems (BVPs) using a new symmetric cubic B-spline method (NCBM) …

The extended form of the classical polynomial cubic B-spline function is used to set up a
collocation method for some initial boundary value problems derived for the Korteweg-de …

Several applications of computational science and engineering, including population
dynamics, optimal control, and physics, reduce to the study of a system of second-order …

Runge Kutta (RK) is a famous method that can be used to solve differential equation with
initial value problems (IVP). There are many variants for RK method. For instance, the most …