Results 21 to 30 of about 547,687 (323)
Boundary Value ProblemsIn this work, we investigate the Klein–Gordon equation, a physical problem, using the reproducing kernel Hilbert space method (RKHSM). The analytical solution is expressed as a series within the reproducing kernel Hilbert space (RKHS).
Hadjer Zerouali +6 more
doaj +2 more sources
Reproducing kernel functions for linear tenth-order boundary value problems
ITM Web of Conferences, 2018 Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali +3 more
doaj +2 more sources
Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method [PDF]
Abstract and Applied Analysis, 2013 We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space.
Yulan Wang +4 more
doaj +2 more sources
Chebyshev reproducing kernel method: application to two-point boundary value problems
, 2017 In this paper, a new implementation of the reproducing kernel method is proposed in order to obtain the accurate numerical solution of two-point boundary value problems with Dirichlet boundary conditions.
M. Khaleghi, E. Babolian, S. Abbasbandy
semanticscholar +2 more sources
An optimal reproducing kernel method for linear nonlocal boundary value problems
Applied Mathematics Letters, 2018 F. Geng, S. Qian
exaly +2 more sources
A modified reproducing kernel method for a time-fractional telegraph equation
, 2017 The aim of this work is to obtain a numerical solution of a time-fractional telegraph equation by a modified reproducing kernel method. Two numerical examples are given to show that the present method overcomes the drawback of the traditional reproducing
Yulan Wang, Mingjing Du, Chaolu Temuer
semanticscholar +2 more sources
Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems
Mathematical Modelling and Analysis, 2016 In this paper, convergence rate of the reproducing kernel method for solving boundary value problems is studied. The equivalence of two reproducing kernel spaces and some results of adjoint operator are proved.
Zhihong Zhao, Yingzhen Lin, Jing Niu
doaj +2 more sources
Open Physics, 2016 In this manuscript we investigate electrodynamic flow. For several values of the intimate parameters we proved that the approximate solution depends on a reproducing kernel model.
Akgül Ali +3 more
doaj +2 more sources
Thermal Science, 2021 This paper structures some new reproductive kernel spaces based on Legendre polynomials to solve time variable order fractional advection-reaction-diffusion equations. Some examples are given to show the effectiveness and reliability of the method.
Dandan Dai +3 more
semanticscholar +1 more source
, 2021 In this paper, a coupled system of fractional differential equations along with integral boundary conditions is discussed by means of the iterative reproducing kernel algorithm.
Rania Saadeh
semanticscholar +1 more source