[HTML][HTML] A numerical combined algorithm in cubic B-spline method and finite difference technique for the time-fractional nonlinear diffusion wave equation with …

OA Arqub, S Tayebi, D Baleanu, MS Osman… - Results in Physics, 2022 - Elsevier
The applications of the diffusion wave model of a time-fractional kind with dam** and
reaction terms can occur within classical physics. This quantification of the activity can …

Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

O Nikan, Z Avazzadeh, JAT Machado - Communications in Nonlinear …, 2021 - Elsevier
This paper focusses on the numerical solution of the nonlinear time-fractional telegraph
equation formulated in the Caputo sense. This model is a useful description of the neutron …

A high resolution Hermite wavelet technique for solving space–time-fractional partial differential equations

M Faheem, A Khan, A Raza - Mathematics and computers in Simulation, 2022 - Elsevier
This paper aims to develop an improved Hermite wavelet resolution method for solving
space–time-fractional partial differential equations (STFPDE). Unlike the previous wavelet …

[HTML][HTML] A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer

O Nikan, Z Avazzadeh, JAT Machado - Journal of Advanced Research, 2021 - Elsevier
Introduction During the last years the modeling of dynamical phenomena has been
advanced by including concepts borrowed from fractional order differential equations. The …

A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics

O Nikan, Z Avazzadeh - Applied Mathematics and Computation, 2021 - Elsevier
This paper develops a numerical approach for finding the approximate solution of the
Sobolev model. This model describes many natural processes, such as thermal conduction …

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 …

[HTML][HTML] Solitary wave solutions of the generalized Rosenau-KdV-RLW equation

Z Avazzadeh, O Nikan, JAT Machado - Mathematics, 2020 - mdpi.com
This paper investigates the solitary wave solutions of the generalized Rosenau–Korteweg-
de Vries-regularized-long wave equation. This model is obtained by coupling the Rosenau …

Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics

T Guo, O Nikan, W Qiu, D Xu - Communications in Nonlinear Science and …, 2023 - Elsevier
This paper formulates the second-order BDF and theta schemes based on an efficient
localized meshless technique for computing the approximate solution of the Sobolev model …

A novel collective algorithm using cubic uniform spline and finite difference approaches to solving fractional diffusion singular wave model through dam**-reaction …

SW Yao, OA Arqub, S Tayebi, MS Osman, W Mahmoud… - Fractals, 2023 - World Scientific
Uses of time-fractional diffusion wave model (TFDWM) in its singular case with dam**-
reaction terms are widely seen in classical physics applications, eg for the quantitative …

An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile–immobile equation

H Jiang, D Xu, W Qiu, J Zhou - Computational and Applied Mathematics, 2020 - Springer
In this paper, an alternating direction implicit (ADI) compact difference scheme will be
proposed for solving semilinear time-fractional mobile–immobile equations in two …