Numerical solution to fifth order linear differential equation using sixth degree B-spline collocation method

Y.Rajashekhar Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V28P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 28 | Number 1 | Year 2015 | Article Id. IJMTT-V28P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V28P510

Numerical solution to fifth order linear differential equation using sixth degree B-spline collocation method

Y.Rajashekhar Reddy

Citation :

Y.Rajashekhar Reddy, "Numerical solution to fifth order linear differential equation using sixth degree B-spline collocation method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 28, no. 1, pp. 61-65, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V28P510

Abstract

This paper presents the comparison of numerical solutions which are obtained by using B-spline based collocation method of linear differential equation with constant coefficients. Different degree’s of Bspline basis are employed as bases in this B-spline based collocation method .The higher degree Bspline base function which is employed in collocation method gives the best approximate solution to the considered differential equation instead of using the same degree B-spline base function to equal order differential equation with boundary conditions. Increasing of the degree of B- spline base function improves the numerical solution and also it alternate of increasing of the number of collocation points in the problem domain to get best solution to given differential equation. Numerical results show that higher degree B-pline basis function which are employed in collocation method as basis are best choice to achieve appropriate solution to the differential equation.

Keywords

Collocation method, B-splines, Linear differential equations with constant coefficients.

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