Results 321 to 330 of about 489,759 (365)

A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems

Journal of Applied Mathematics and Computation, 2021
Minqiang Xu, E. Tohidi
semanticscholar   +1 more source

Treatment of discontinuity in the reproducing kernel element method

International Journal for Numerical Methods in Engineering, 2005
AbstractA discontinuous reproducing kernel element approximation is proposed in the case where weak discontinuity exists over an interface in the physical domain. The proposed method can effectively take care of the discontinuity of the derivative by truncating the window function and global partition polynomials.
Hongsheng Lu, Do Wan Kim, Wing Kam Liu
openaire   +2 more sources

Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method

, 2021
S. Momani, N. Djeddi, M. Al‐Smadi, S. Al-Omari   +3 more
semanticscholar   +1 more source

A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems

, 2021
Minqiang Xu, Lufang Zhang, E. Tohidi
semanticscholar   +1 more source

Reproducing kernel method to solve fractional delay differential equations

Applied Mathematics and Computation, 2021
T. Allahviranloo, H. Sahihi
semanticscholar   +1 more source

Generalized multiple scale reproducing kernel particle methods

Computer Methods in Applied Mechanics and Engineering, 1996
An approach to unify reproducing kernel methods and an extension to include time and spatial shifting are proposed. The groundwork is set by revisiting the Fourier analysis of discrete systems. The multiresolution concept, its significance in devising the reproducing kernel methods and its discrete counterpart, reproducing kernel particle methods, are ...
Yijung Chen, Chin Tang Chang, R. Aziz Uras, Wing Kam Liu   +3 more
openaire   +3 more sources

Reproducing kernel method for strongly non-linear equation

AIP Conference Proceedings, 2018
In this paper, we search the efficiency of the reproducing kernel method (RKM) in solving the strongly nonlinear equation. An example is presented to prove the power of the technique. The results attained from the technique are compared with the other techniques. Results prove that the presented technique is very effective.
Akgul, Ali, Akgul, Esra Karatas, Baleanu, Dumitru   +2 more
openaire   +3 more sources

Multiresolution reproducing kernel particle methods in acoustics

The Journal of the Acoustical Society of America, 1996
In the analysis of complex phenomena of acoustic systems, the computational modeling requires special attention for a realistic representation of the physics. As a powerful tool, the finite-element method has been widely used in the study of complex systems.
openaire   +2 more sources

Some Studies of the Reproducing Kernel Particle Method

2003
Interests in meshfree (or meshless) methods have grown rapidly in the recent years in solving boundary value problems arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc. Rigorous error estimates of a meshfree method, the reproducing kernel particle method (RKPM), have been ...
Xueping Meng, Weimin Han
openaire   +2 more sources

A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method

Journal of Applied Mathematics and Computation, 2020
M. G. Sakar, Onur Saldır
semanticscholar   +1 more source