Abstract
In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems. We obtain some useful reproducing kernel functions to get approximate solutions. We obtain very efficient results by this method. We show our numerical results by tables.
Highlights
IntroductionA numerical approximation of tenth-order boundary value problems has been given in [1]
A numerical approximation of tenth-order boundary value problems has been given in [1].Usmani [2] has solved fourth order boundary value problems by using the quartic spline method.Twizell and Boutayeb [3] have improved the numerical approximations for higher order eigenvalue value problems
We used an accurate technique for investigating tenth order boundary value problems
Summary
A numerical approximation of tenth-order boundary value problems has been given in [1]. Usmani [2] has solved fourth order boundary value problems by using the quartic spline method. Twizell and Boutayeb [3] have improved the numerical approximations for higher order eigenvalue value problems. The approximation of second order boundary value problems has been presented by Alberg and Ito [4]. Siraj-ul-Islam et al [5] has used a non-polynomial spline method to approximate the sixth-order boundary value problems. Siddiqi and Twizell [7,8] have enhanced numerical approximations of tenth and twelfth-order boundary value problems. This paper is constructed as: Section 2 shows the reproducing kernel functions.
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