reproducing kernel hilbert space(rkhs) method for solving singular perturbed initial value problem
نویسندگان
چکیده
in this paper, a numerical scheme for solving singular initial/boundary value problems presented.by applying the reproducing kernel hilbert space method (rkhsm) for solving these problems,this method obtained to approximated solution. numerical examples are given to demonstrate theaccuracy of the present method. the result obtained by the method and the exact solution are foundto be in good agreement with each other and it is noted that our method is of high signi cance.we compare our results with other paper. the comparison of the results with exact ones is made tocon rm the validity and eciency.
منابع مشابه
Reproducing Kernel Hilbert Space(RKHS) method for solving singular perturbed initial value problem
In this paper, a numerical scheme for solving singular initial/boundary value problems presented.By applying the reproducing kernel Hilbert space method (RKHSM) for solving these problems,this method obtained to approximated solution. Numerical examples are given to demonstrate theaccuracy of the present method. The result obtained by the method and the exact solution are foundto be in good agr...
متن کاملReproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.
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 کاملSolving singular second-orderinitial/boundary value problems in reproducing kernel Hilbert space
In this paper, we presents a reproducing kernel method for computing singular second-order initial/boundary value problems (IBVPs). This method could deal with much more general IBVPs than the ones could do, which are given by the previous researchers. According to our work, in the first step, the analytical solution of IBVPs is represented in the RKHS which we constructs. Then, the analytic ap...
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 کاملReproducing Kernel Method for Fourth Order Singularly Perturbed Boundary Value Problem
In this paper, reproducing kernel method is proposed for solving singularly perturbed fourth order boundary value problem in 5 2 W [0,1] . The exact solutions are given in the form of series. By truncating the series, the app-roximate solutions is obtained. The errors of the approximate solutions are monotone decreasing with the increasing of nodal points. It is observed that our approach produ...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
نظریه تقریب و کاربرد های آنجلد ۱۰، شماره ۲، صفحات ۱-۱۲
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023