Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space
Abstract: The aim of study of this article is to determine the solution of seventh order boundary value problem. The behavior of the induction motor is simulated by fifth order differential equation model and induction machine with two rotor circuits is represented by the seventh order differential equations. In this study, a Reproducing Kernel Method (RKM) for a class of seventh-order nonlinea...
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and Applied Analysis 3 Since i ∞ i=1 is dense in [0, 1], (Lu)(x) = 0, which implies that u ≡ 0 from the existence of L. Using reproducing kernel property, it can be written as i (x) = i (y) , x (y)⟩ = ⟨(L ∗ i (x) , x (y)⟩ = i (y) , x (y)⟩
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The third-order boundary value problems arise in the study of draining and coating flows. In the past few years, third-order boundary value problems with various types of boundary conditions have been studied in many literatures. For details, see 1–6 and their references therein. In the last decade or so, several papers 7–12 have been devoted to the study of third-order differential equations w...
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In this paper, a reproducing kernel with polynomial form is used for finding analytical and approximate solutions of a second-order hyperbolic equation with linear initial-boundary conditions. The analytical solution is represented as a series in the reproducing kernel space, and the approximate solution is obtained as an n-term summation. Error estimates are proved to converge to zero in the s...
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ژورنال
عنوان ژورنال: Research Journal of Applied Sciences, Engineering and Technology
سال: 2014
ISSN: 2040-7459,2040-7467
DOI: 10.19026/rjaset.7.331