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B-Spline Solution and the Chaotic Dynamics of Troesch's Problem
(Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions ...
The Numerical Solution of Fractional Diffusion Equation by Using Local Polynomial Regression
(Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
In this paper, we apply the local polynomial regression for the solution of the one-dimensional fractional diffusion equation. The Caputo fractional derivative is used for the formulation. A numerical example is given to ...
Non-Polynomial Spline Solution For Bratu's Problem
(Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)
In this paper, we have discussed a third-degree non-polynomial spline solution for the numerical solution to nonlinear boundary value problems (BVPs) and compare other metods. Two numerical examples are given to illustrate ...
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 ...