[HTML][HTML] Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method

Z Shi, Y Cao, Q Chen - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, we present a computational method for solving 2D and 3D Poisson equations
and biharmonic equations which based on the use of Haar wavelets. The highest derivative …

On a generalized Gaussian radial basis function: Analysis and applications

N Karimi, S Kazem, D Ahmadian, H Adibi… - … analysis with boundary …, 2020 - Elsevier
We introduce a new infinitely smooth generalized Gaussian radial basis function (GGRBF)
involving two shape parameters: ψ (r; ϵ; ϵ 0)= φ (r; ϵ) exp (φ (r; ϵ 0)− 1), where φ (r; ϵ) is …

Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method

D Ngo-Cong, N Mai-Duy, W Karunasena… - Computers & …, 2011 - Elsevier
This paper presents a new effective radial basis function (RBF) collocation technique for the
free vibration analysis of laminated composite plates using the first order shear deformation …

Investigation of hybrid nanofluid SWCNT–MWCNT with the collocation method based on radial basis functions

E Tayari, L Torkzadeh, D Domiri Ganji… - The European Physical …, 2023 - Springer
In this research, non-Newtonian natural convection of hybrid nanofluid comprising single-
wall carbon nanotube (SWCNT) and multi-wall carbon nanotube (MWCNT) based on …

A reduced-order model based on integrated radial basis functions with partition of unity method for option pricing under jump–diffusion models

A Ebrahimijahan, M Dehghan… - Engineering Analysis with …, 2023 - Elsevier
The current research aims to develop a fast, stable and efficient numerical procedure for
solving option pricing problems in jump–diffusion models. A backward partial integro …

Simulation of the coupled Schrödinger–Boussinesq equations through integrated radial basis functions-partition of unity method

A Ebrahimijahan, M Dehghan… - Engineering Analysis with …, 2023 - Elsevier
In this paper, integrated radial basis functions-partition of unity (IRBF-PU) method is
presented for the numerical solution of the one-and two-dimensional coupled Schrödinger …

A compact five-point stencil based on integrated RBFs for 2D second-order differential problems

N Mai-Duy, T Tran-Cong - Journal of Computational Physics, 2013 - Elsevier
In this paper, a compact 5-point stencil for the discretisation of second-order partial
differential equations (PDEs) in two space dimensions is proposed. We employ integrated …

Application of RBF-DQ method to time-dependent analysis of unsaturated seepage

F Motaman, GR Rakhshandehroo, MR Hashemi… - Transport in Porous …, 2018 - Springer
Richards' equation is a nonlinear partial differential equation governing unsteady seepage
flow through unsaturated porous media. This paper investigates applicability of radial basis …

The numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers and regularized long-wave equations via the meshless method of integrated …

A Ebrahimijahan, M Dehghan - Engineering with Computers, 2021 - Springer
In this paper, a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers and regularized long-wave equations. The used …

[PDF][PDF] A novel double integral transform and its applications

A Atangana, BST Alkaltani - J. Nonlinear Sci. Appl, 2016 - emis.de
A novel double integral transform and its applications Page 1 Available online at www.tjnsa.com
J. Nonlinear Sci. Appl. 9 (2016), 424–434 Research Article A novel double integral transform …