Fitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value Problems
نویسندگان
چکیده
منابع مشابه
Homotopy 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 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 کاملSinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...
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 کاملSolutions of a Class of Sixth Order Boundary Value Problems Using the Reproducing Kernel Space
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)⟩
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: American Journal of Applied Sciences
سال: 2016
ISSN: 1546-9239
DOI: 10.3844/ajassp.2016.501.510