The non-polynomial spline method is proposed to solve a non-linear system of the second-order boundary value problems (BVPs). Some numerical results are given to demostrate the validity and applicability of the presented ...

In this paper, we find numerical solution of x(t) + lambda integral(b)(a)k(t,s)x(s)ds = y(t) a <= t <= b or x(t) + lambda integral(b)(a) k(t,s)x(s)ds = y(t) a <= t <= b, a <= s <= b by Local Polynomial ...

In the present report we examine the dynamics exhibited by the solution of Bratu's equation. It represents a one-dimensional map with control parameter theta. For certain values of the parameter theta it exhibits successive ...

In this paper, we discussed a fifth-degree B-spline solution for the numerical solution to nonlinear fourth-order boundary value problems (BVPs) with separated boundary conditions. Two numerical examples are given to ...

This article concerns the Principal Component Analysis (PCA) of a vector process with higher-order B-spline functions. The approximated PCA of this well-known process is compared with the classical PCA of the different ...

The numerical solutions of several mathematical models In the financial economics arc arising. Most of the models are based on the Black-Scholes partial differential equations. In this paper, the Black-Scholes option pricing ...

In this paper, we find the numerical solution of a fourth-order parabolic partial differential equation. A family of B-spline methods has been considered for the numerical solution of the problems. The results show that ...

Homogeneous and non-homogenous singular boundary value problems (special case) are solved using B-splines. The original differential equation is modified at singular point then the boundary value problem is treated by using ...