Results 41 to 50 of about 547,687 (323)

A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems

Abstract and Applied Analysis, 2013
A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular
Jing Niu, Yingzhen Lin, Minggen Cui
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Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

Abstract and Applied Analysis, 2013
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc, Ali Akgül, Adem Kılıçman   +2 more
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New reproducing kernel functions [PDF]

, 2015
Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers.
Akgül, Ali
core   +1 more source

Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]

Journal of Hyperstructures, 2016
This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi, Taher Lotf, M. Paripour   +2 more
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Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

Abstract and Applied Analysis, 2014
We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem.
Yulan Wang, Hao Yu, Fugui Tan, Shuguang Li   +3 more
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Combining the reproducing kernel method with Taylor series expansion to solve systems of nonlinear fractional Volterra integro-differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, we present a novel approach for solving systems of nonlinear fractional Volterra integro-differential equations $(NFVI-DEs)$ by reproducing the Hilbert kernel method.
T. Amoozad, S. Abbasbandy, H. Sahihi, T. Allahviranloo   +3 more
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A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation [PDF]

, 2022
In this paper, we focus on the development and study of the finite difference/pseudo-spectral method to obtain an approximate solution for the time-fractional diffusion-wave equation in a reproducing kernel Hilbert space.
Aracı, Serkan, Fardi, Mojtaba, Al-Omari, Shrideh K. Qasem   +2 more
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REPRODUCING KERNEL FUNCTIONS FOR DIFFERENCE EQUATIONS [PDF]

, 2015
In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now.
Karatas, Esra, Inc, Mustafa, Akgul, Ali
core   +1 more source

A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems

Mathematics
A meshless, quasi-convex reproducing kernel particle framework for three-dimensional steady-state thermomechanical coupling problems is presented in this paper.
Lin Zhang, D. M. Li, Cen-Ying Liao, Li-Rui Tian   +3 more
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Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

Journal of Function Spaces, 2020
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM).
Xiaoli Zhang, Haolu Zhang, Lina Jia, Yulan Wang, Wei Zhang   +4 more
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