论文信息 - Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations

Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations

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 the present method is an applicable technique and approximates the exact solution very well.

Hikmet Caglar | Nazan Caglar | H. Caglar | Nazan Caglar

[1] M. K. Jain,et al. Higher order difference formulas for a fourth order parabolic partial differential equation , 1976 .

[2] Abdul-Majid Wazwaz,et al. On the solution of the fourth order parabolic equation by the decomposition method , 1995, Int. J. Comput. Math..

[3] Abdul-Majid Wazwaz,et al. Analytic treatment for variable coefficient fourth-order parabolic partial differential equations , 2001, Appl. Math. Comput..

[4] Hikmet Caglar,et al. The numerical solution of the one-dimensional heat equation by using third degree B-spline functions , 2008 .

[5] Hikmet Caglar,et al. B-spline solution of singular boundary value problems , 2006, Appl. Math. Comput..

[6] Hikmet Caglar,et al. B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems , 2006, Appl. Math. Comput..

[7] C. R. Deboor,et al. A practical guide to splines , 1978 .

[8] Davod Khojasteh Salkuyeh,et al. On the finite difference approximation to the convection-diffusion equation , 2006, Appl. Math. Comput..

[9] Arshad Khan,et al. Spline methods for the solution of fourth-order parabolic partial differential equations , 2005, Appl. Math. Comput..