The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation

MN Rasoulizadeh, O Nikan, Z Avazzadeh - Mathematical Sciences, 2021 - Springer
This paper develops a method for the numerical solution of the nonlinear regularized long
wave equation. This method discretizes the unknown solution in two main schemes. The …

A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction–diffusion equations exhibiting weak initial singularity

A Singh, S Kumar, J Vigo-Aguiar - Journal of Computational and Applied …, 2023 - Elsevier
The aim of this paper is to design and analyze a robust fully discrete scheme based on cubic
splines for numerically solving a time-fractional reaction–diffusion equation (TFRDE) with …

[HTML][HTML] Numerical solution for the Kawahara equation using local RBF-FD meshless method

MN Rasoulizadeh, J Rashidinia - Journal of King Saud University-Science, 2020 - Elsevier
When the number of nodes increases more than thousands, the arising system of global
radial basis functions (RBFs) method becomes dense and ill-conditioned. To solve this …

Tension spline method for solution of non-linear Fisher equation

M Aghamohamadi, J Rashidinia, R Ezzati - Applied Mathematics and …, 2014 - Elsevier
Tension spline method is proposed for the non-linear Fisher equation with initial-boundary
values. The three time-level implicit method based on the non-polynomial cubic tension …

[HTML][HTML] Polynomial and nonpolynomial spline methods for fractional sub-diffusion equations

SM Hosseini, R Ghaffari - Applied Mathematical Modelling, 2014 - Elsevier
We consider one-dimensional fractional sub-diffusion equations on an unbounded domain.
For a problem of this type for which an exact or approximate artificial boundary condition is …

Approximation and Eventual periodicity of Generalized Kawahara equation using RBF-FD method.

HU Jan, M Uddin - Punjab University Journal of Mathematics, 2021 - journals.pu.edu.pk
In engineering and mathematical physics nonlinear evolutionaryequations play an important
role. Kawahara equation is one of thefamous nonlinear evolution equation appeared in the …

[HTML][HTML] Numerical simulation on hyperbolic diffusion equations using modified cubic B-spline differential quadrature methods

RC Mittal, S Dahiya - Computers & Mathematics with Applications, 2015 - Elsevier
In this article, a modified cubic B-spline differential quadrature method (MCB-DQM) is
proposed to solve a hyperbolic diffusion problem in which flow motion is affected by both …

[HTML][HTML] 相控震源在矿产勘探中应用的数值模拟研究

葛利华, 姜弢, 林君, 徐学纯, 黄大年, 贾海青 - 地球物理学报, 2012 - html.rhhz.net
为满足深部矿区精细勘探的需求, 研究适于矿区的震源技术至关重要. 在便携式电磁驱动可控
震源应用于矿区勘探过程中, 单电磁驱动可控震源和组合震源分辨率不高 …

[HTML][HTML] The solution of a time-dependent problem by the B-spline method

M El-Gamel, A El-Shenawy - Journal of Computational and Applied …, 2014 - Elsevier
In this paper, we apply the B-spline method for solving the boundary-value problems
involving non-homogeneous heat, convection–diffusion, wave and telegraph equations. The …

Exponentially fitted methods for solving two-dimensional time fractional damped Klein–Gordon equation with nonlinear source term

WK Zahra, MA Nasr - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
In this paper, we introduce a numerical study for the two-dimensional damped Klein–Gordon
equation with time fractional and nonlinear source term. The proposed scheme is based on …