Author/Authors :
Ala’yed, Osama Universiti Utara Malaysia - School of Quantitative Sciences, UUM College of Arts and Sciences, Malaysia , Ying, Teh Yuan Universiti Utara Malaysia - School of Quantitative Sciences, UUM College of Arts and Sciences, Malaysia , Saaban, Azizan Universiti Utara Malaysia - School of Quantitative Sciences, UUM College of Arts and Sciences, Malaysia
Abstract :
In this article, a fourth order quartic spline method has been developed to obtain the numerical solution of second order boundary value problem with Dirichlet boundary conditions. The development of the quartic spline method and convergence analysis have been presented. Three test problems have been used for numerical experimentations purposes. Numerical experimentations showed that the quartic spline method generates more accurate numerical results compared with an existing cubic spline method in solving second order boundary value problems.
Keywords :
Boundary value problem , spline interpolation , quartic spline method , shooting method
