A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg–Landau equation
In this paper, the cubic–quintic complex Ginzburg–Landau (CQCGL) equation is numerically
studied in 1D, 2D and 3D spaces. First, by the Strang splitting technique, the CQCGL …
studied in 1D, 2D and 3D spaces. First, by the Strang splitting technique, the CQCGL …
A local radial basis function-compact finite difference method for Sobolev equation arising from fluid dynamics
M Ilati - Engineering Analysis with Boundary Elements, 2024 - Elsevier
In this article, a new high-order, local meshless technique is presented for numerically
solving multi-dimensional Sobolev equation arising from fluid dynamics. In the proposed …
solving multi-dimensional Sobolev equation arising from fluid dynamics. In the proposed …
Stable numerical algorithm with localized radial basis function for solution of fractional convection–diffusion–reaction equation
M Haghi, R Mollapourasl - Engineering Analysis with Boundary Elements, 2023 - Elsevier
Designing an efficient high-order numerical discretization is one of the challenges in
numerical solution of fractional differential equations. Therefore in this paper to overcome …
numerical solution of fractional differential equations. Therefore in this paper to overcome …
A Radial Basis Function‐Hermite Finite Difference Method for the Two‐Dimensional Distributed‐Order Time‐Fractional Cable Equation
M Haghi, M Ilati - Mathematical Methods in the Applied …, 2025 - Wiley Online Library
In this article, our main objective is to propose a high‐order local meshless method for
numerical solution of two‐dimensional distributed‐order time‐fractional cable equation on …
numerical solution of two‐dimensional distributed‐order time‐fractional cable equation on …
A comparative study of cubic UAT and cubic UAH tension B-splines DQM for convection-diffusion equation: a statistical validation
M Kaur, M Kapoor - Journal of Mathematical Chemistry, 2024 - Springer
In this work, two numerical techniques are compared for solving one and two-dimensional
convection-diffusion equations. First technique is referred as “MCUAT tension B-spline," and …
convection-diffusion equations. First technique is referred as “MCUAT tension B-spline," and …
Numerical Solution for Nonlinear Problems
M Rabbani - Approximation Theory, Sequence Spaces and …, 2022 - Springer
Generally, obtaining analytical solutions for the nonlinear functional and fractional equations
is not done with ease. Therefore, in this section, some effective semi-analytic and numerical …
is not done with ease. Therefore, in this section, some effective semi-analytic and numerical …
[引用][C] Localized Meshfree Methods for Solving 3D-Helmholtz Equation
R Mollapourasl, M Haghi - … Journal of Mathematical and Computational Sciences, 2024