Now showing items 1-10 of 12
The numerical solution of the singular two-point boundary value problems by using non-polynomial spline functions
The non-polynomial spline method is proposed to solve a singular boundary value problems. Some model problems are solved and the numerical results are compared with B-spline approximation and the exact solution. Results ...
B-Spline solution of linear hyperbolic partial differential equations
Second-order linear hyperbolic equations are solved by using B-spline method . The numerical solution of the equations are discussed and illustrated with an example. Numerical results reveal that B-spline method ...
Third-Degree B-spline solution for a nonlinear diffusion Fisher’xxs equation
Non-linear Fisher’s equations are solved by using a spline method based on B-spline in the space direction and finite difference schema in the time direction. Numerical results reveal that spline method based on Bspline is ...
A non polynomial spline solution of the one-dimensional wave equation subject to an integral conservation condition
Hyperbolic partial differential equations with an integral condition serve as models in many branches of physics and technology. Recently,much attention has been expended in studying these equations and there has been a ...
B-Spline Solution for a Convection-Diffusion Equation
(Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
This paper is concerned with the numerical solution of the convection diffusion problems. A family of B-spline methods has been considered for the numerical solution of the problems. The results showed that the present ...
Non-Polynomial Spline Method for Fractional Diffusion Equation
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2012-11)
The one-dimensional fractional diffusion equation is studied systematically using the non-polynomial spline method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of ...