[HTML][HTML] The numerical solution of nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation via the meshless method of radial basis …

M Dehghan, M Abbaszadeh, A Mohebbi - Computers & Mathematics with …, 2014 - Elsevier
In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers equation. Firstly, we obtain a time discrete scheme by …

Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model

S Pandit - Wave Motion, 2022 - Elsevier
In this article, two numerical algorithms are designed for the simulation of generalized
regularized long wave (GRLW) model via local radial basis functions (LRBFs) and Scale-3 …

A Jacobi operational matrix for solving a fuzzy linear fractional differential equation

A Ahmadian, M Suleiman, S Salahshour… - Advances in Difference …, 2013 - Springer
This paper reveals a computational method based using a tau method with Jacobi
polynomials for the solution of fuzzy linear fractional differential equations of order 0< v< 1. A …

[HTML][HTML] The Müntz-Legendre Tau method for fractional differential equations

P Mokhtary, F Ghoreishi, HM Srivastava - Applied Mathematical Modelling, 2016 - Elsevier
The main result obtained in this study is the following operational Tau method based on
Müntz-Legendre polynomials. This method provides a computational technique for obtaining …

Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine‐Gordon equation

R Jiwari - Numerical Methods for Partial Differential Equations, 2021 - Wiley Online Library
In this article, barycentric rational interpolation and local radial basis functions (RBFs) based
numerical algorithms are developed for solving multidimensional sine‐Gordon (SG) …

[HTML][HTML] Development of the Kansa method for solving seepage problems using a new algorithm for the shape parameter optimization

A Fallah, E Jabbari, R Babaee - Computers & Mathematics with …, 2019 - Elsevier
In this research, the Kansa or Multiquadric method (MQ) has been developed for solving the
seepage problems in 2D and 3D arbitrary domains. This research is the first application of …

On the convergence of a new reliable algorithm for solving multi-order fractional differential equations

E Hesameddini, A Rahimi, E Asadollahifard - Communications in Nonlinear …, 2016 - Elsevier
In this paper, we will introduce the reconstruction of variational iteration method (RVIM) to
solve multi-order fractional differential equations (M-FDEs), which include linear and …

Asymptotically periodic solutions of fractional differential equations

C Cuevas, HR Henriquez, H Soto - Applied Mathematics and Computation, 2014 - Elsevier
Asymptotically periodic solutions of fractional differential equations - ScienceDirect Skip to
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[PDF][PDF] Numerical solution of system of n-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov–Galerkin (MLPG) method

M Dehghan, M Abbaszadeh… - Comput. Model. Eng …, 2014 - cdn.techscience.cn
In this paper three numerical techniques are proposed for solving the system of N-coupled
nonlinear Schrödinger (CNLS) equations. Firstly, we obtain a time discrete scheme by …

The numerical solution of the two–dimensional sinh-Gordon equation via three meshless methods

M Dehghan, M Abbaszadeh, A Mohebbi - Engineering Analysis with …, 2015 - Elsevier
In this paper three numerical techniques are proposed for solving the nonlinear sinh-Gordon
equation. Firstly, we obtain a time discrete scheme then we use the radial basis functions …