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B-Spline solution of linear hyperbolic partial differential equations
(2011)
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 ...
The numerical solution of the singular two-point boundary value problems by using non-polynomial spline functions
(2010)
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 ...
Third-Degree B-spline solution for a nonlinear diffusion Fisher’xxs equation
(2011)
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
(2010)
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 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 ...