Parametric quintic spline solution for sixth order two point boundary value problems
نویسندگان
چکیده
منابع مشابه
B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS
In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.
متن کاملSolution of Non-linear Sixth-order Two Point Boundary-value Problems Using Parametric Septic Splines
Abstract: In this paper a family of numerical methods is developed for solution of non-linear sixth-order two-point boundary-value problems using parametric septic spline. It is shown that the new methods give approximations, which are better than existing spline methods. End equations of the spline are derived and truncation error is given. Convergence analysis is discussed through standard pr...
متن کاملQuintic Spline Solutions of Fourth Order Boundary-value Problems
In this paper Quintic Spline is defined for the numerical solutions of the fourth order linear special case Boundary Value Problems. End conditions are also derived to complete the definition of spline.The algorithm developed approximates the solutions, and their higher order derivatives of differential equations. Numerical illustrations are tabulated to demonstrate the practical usefulness of ...
متن کاملExistence and nonexistence of positive solution for sixth-order boundary value problems
In this paper, we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem. Also nonexistence results are obtained. An example is given to illustrate the results of paper.
متن کاملb-spline method for two-point boundary value problems
in this work the collocation method based on quartic b-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. the error analysis and convergence of presented method is discussed. the method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2012
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1206233k