Search Results - Reproducing kernel algorithm

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations by Abu Arqub, Omar

“…In this article, we propose the reproducing kernel Hilbert space method to obtain the exact and the numerical solutions of fuzzy Fredholm…”
Get full text

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations by Arqub, Omar Abu, Maayah, Banan

“…•In this analysis, by developed the reproducing kernel algorithm within the Atangana…”
Get full text

Multi-step reproducing kernel algorithm for solving Caputo–Fabrizio fractional stiff models arising in electric circuits by Hasan, Shatha, Al-Smadi, Mohammed, Dutta, Hemen, Momani, Shaher, Hadid, Samir

“… a closed conducting pathway. In this paper, the electric circuit model of fractional stiff differential equations is investigated using a novel multi-step approach of reproducing kernel method (MS-RKM…”
Get full text

A Kernel Affine Projection-Like Algorithm in Reproducing Kernel Hilbert Space by Wu, Qishuai, Li, Yingsong, Zakharov, Yuriy V., Xue, Wei, Shi, Wanlu

“…A kernel affine projection-like algorithm (KAPLA) is proposed in reproducing kernel Hilbert space in non-Gaussian environments…”
Get full text

Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems by Arqub, Omar Abu, Al-Smadi, Mohammed, Momani, Shaher, Hayat, Tasawar

“…In this paper, we investigate the analytic and approximate solutions of second-order, two-point fuzzy boundary value problems based on the reproducing kernel theory under the assumption of strongly…”
Get full text

Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm by Abu Arqub, Omar

“…The aim of the present analysis is to implement a relatively recent computational algorithm, reproducing kernel Hilbert space, for obtaining the solutions of systems of first-order, two-point boundary…”
Get full text

Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm by Abu Arqub, Omar

“…Purpose The purpose of this study is to introduce the reproducing kernel algorithm for treating classes of time-fractional partial differential equations subject to Robin boundary conditions…”
Get full text

Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin by Abu Arqub, Omar, Al-Smadi, Mohammed, Abu Gdairi, Radwan, Alhodaly, Mohammed, Hayat, Tasawar

“…Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers…”
Get full text

The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations by Arqub, Omar Abu

“…The aim of the present analysis is to implement a relatively recent computational method, reproducing kernel Hilbert space, for obtaining the solutions of differential algebraic systems for ordinary…”
Get full text

Fuzzy M-fractional integrodifferential models: theoretical existence and uniqueness results, and approximate solutions utilizing the Hilbert reproducing kernel algorithm by Abu Arqub, Omar, Mezghiche, Riyane, Maayah, Banan

“… Moreover, the study offers numerical solutions using the Hilbert reproducing kernel algorithm in a new fuzzy look, utilizing two fitting Hilbert spaces…”
Get full text

Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates by Omar Abu Arqub, Banan Maayah

“…This paper presents iterative reproducing kernel algorithm for obtaining the numerical solutions of Bagley–Torvik and Painlevé…”
Get full text

Retraction Note: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates by Abu Arqub, Omar, Maayah, Banan

Get full text

Numerical Solutions of Fractional Systems of Two-Point BVPs by Using the Iterative Reproducing Kernel Algorithm by Altawallbeh, Z., Al-Smadi, M., Komashynska, I., Ateiwi, A.

“… The reproducing kernel functions are constructed to get an accurate algorithm for the investigation of fractional systems…”
Get full text

Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations by Abu Arqub, Omar, Singh, Jagdev, Alhodaly, Mohammed

“… Based on the reproducing kernel algorithm (RKA), a touching numerical approach is considering in this study to solve groups of fuzzy fractional integrodifferentials (FFIDEs) with Atangana–Baleanu–Caputo (ABC…”
Get full text

A new piecewise reproducing kernel function algorithm for solving nonlinear Hamiltonian systems by Niu, Jing, Jia, Yuntao, Sun, Jindong

“…This paper aims to study a new reproducing kernel (RK) function-based collocation method for nonlinear Hamiltonian systems…”
Get full text

Numerical algorithms using reproducing kernels for oscillatory boundary value problems by Geng, F.Z., Wu, X.Y.

“…) with highly oscillatory solutions. Traditional reproducing kernel methods (RKMs) are not effective for highly oscillatory BVPs although the RKM is a useful approach to approximation theory…”
Get full text

Rainfall-runoff modeling through regression in the reproducing kernel Hilbert space algorithm by Safari, Mir Jafar Sadegh, Rahimzadeh Arashloo, Shervin, Danandeh Mehr, Ali

“…•Regression in the Reproducing Kernel Hilbert Space (RRKHS) is implemented.•The RRKHS is introduced to model rainfall-runoff process for the first time…”
Get full text

Reproducing Kernel Algorithm for the Analytical-Numerical Solutions of Nonlinear Systems of Singular Periodic Boundary Value Problems by Abu Arqub, Omar

“…The reproducing kernel algorithm is described in order to obtain the efficient analytical-numerical solutions to nonlinear systems of two point, second-order periodic boundary value problems…”
Get full text

RETRACTED ARTICLE: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates by Abu Arqub, Omar, Maayah, Banan

“…This paper presents iterative reproducing kernel algorithm for obtaining the numerical solutions of Bagley–Torvik and Painlevé…”
Get full text

A numerical algorithm in reproducing kernel-based approach for solving the inverse source problem of the time–space fractional diffusion equation by Djennadi, Smina, Shawagfeh, Nabil, Abu Arqub, Omar

“…In this analysis, a numerical algorithm in the RKHS approach is utilized to the inverse source problem for the diffusion equation in a time…”
Get full text