Reproducing kernel functions for linear tenth-order boundary value problems
نویسندگان
چکیده
منابع مشابه
Reproducing Kernel Methods for Solving Linear Initial-boundary-value Problems
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...
متن کاملReproducing kernel method for singular multi-point boundary value problems
Purpose: In this paper, we shall present an algorithm for solving more general singular second-order multi-point boundary value problems. Methods: The algorithm is based on the quasilinearization technique and the reproducing kernel method for linear multi-point boundary value problems. Results: Three numerical examples are given to demonstrate the efficiency of the present method. Conclusions:...
متن کاملHomotopy Perturbation Method with Reproducing Kernel Method for Third Order Nonlinear Boundary Value Problems
This method is based on a combination of the homotopy perturbation method (HPM) and the reproducing kernel method (RKM). The main advantages of this method is that it can overcome the restriction of the form of nonlinearity term in differential equations and improve the iterative speed of homotopy perturbation method. The solution obtained using the method takes the form of a convergent series ...
متن کاملReproducing kernel method for singular fourth order four-point boundary value problems
This paper investigates the analytical approximate solutions of singular fourth order four-point boundary value problems using reproducing kernel method (RKM). The solution obtained by using the method takes the form of a convergent series with easily computable components. However, the reproducing kernel method can not be used directly to solve singular fourth order four-point boundary value p...
متن کاملNon polynomial spline solutions for special linear tenth-order boundary value problems
Non-polynomial spline is used for solution of the tenth-order linear boundary value problems. We obtained the classes of numerical methods for a specific choice of the parameters involved in non-polynomial spline. The end conditions consistent with the boundary value problems are derived. Truncation errors are given. A new approach convergence analysis of the presented methods is discussed. Two...
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: ITM Web of Conferences
سال: 2018
ISSN: 2271-2097
DOI: 10.1051/itmconf/20182201027