Shifted fifth-kind Chebyshev polynomials Galerkin-based procedure for treating fractional diffusion-wave equation

AG Atta, WM Abd-Elhameed… - International Journal of …, 2022 - World Scientific
Herein, we propose new efficient spectral algorithms for handling the fractional diffusion
wave equation (FDWE) and fractional diffusion wave equation with damping (FDWED). In …

A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation

M Yaseen, M Abbas, T Nazir, D Baleanu - Advances in Difference …, 2017 - Springer
In this paper, we propose an efficient numerical scheme for the approximate solution of a
time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis …

[HTML][HTML] Developing some of engineering applications through numerical treatment of non-Newtonian nanofluid flow on nonlinear stretching surface with heat …

MM Khader, H Ahmad, AM Megahed - Case Studies in Thermal …, 2023 - Elsevier
The research introduces a novel aspect by focusing on the examination of a Casson
nanofluid flowing over a nonlinear stretching sheet within a porous medium. The primary …

Application of an Extended Cubic B-Spline to Find the Numerical Solution of the Generalized Nonlinear Time-Fractional Klein–Gordon Equation in Mathematical …

M Vivas-Cortez, MJ Huntul, M Khalid, M Shafiq… - Computation, 2024 - mdpi.com
A B-spline function is a series of flexible elements that are managed by a set of control
points to produce smooth curves. By using a variety of points, these functions make it …

Fourth-order predictor-corrector FDM for the effect of viscous dissipation and Joule heating on the Newtonian fluid flow

MM Khader - Computers & Fluids, 2019 - Elsevier
An analysis has been carried out to study the effect of the constant heat flux, viscous
dissipation, Joule heating internal heat generation, magnetic field and thermal radiation on …

Using fractional Bernoulli Wavelets for solving fractional diffusion wave equations with initial and boundary conditions

M Nosrati Sahlan, H Afshari, J Alzabut, G Alobaidi - Fractal and Fractional, 2021 - mdpi.com
In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are
constructed and applied to evaluate the numerical solution of the general form of Caputo …

Numerical investigation of the fractional diffusion wave equation with the Mittag–Leffler function

M Shafiq, M Abbas, EK El-Shewy… - Fractal and …, 2023 - mdpi.com
A spline is a sufficiently smooth piecewise curve. B-spline functions are powerful tools for
obtaining computational outcomes. They have also been utilized in computer graphics and …

A new method for solving sequential fractional wave equations

SM Syam, Z Siri, RM Kasmani… - Journal of …, 2023 - Wiley Online Library
In this article, we focus on two classes of fractional wave equations in the context of the
sequential Caputo derivative. For the first class, we derive the closed‐form solution in terms …

Numerical solution of the conformable space-time fractional wave equation

HÇ Yaslan - Chinese Journal of Physics, 2018 - Elsevier
In this paper, an efficient numerical method is considered for solving space-time fractional
wave equation. The fractional derivatives are described in the conformable sense. The …

A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms

N Khalid, M Abbas, MK Iqbal, D Baleanu - Advances in Difference …, 2019 - Springer
In this study, we have proposed an efficient numerical algorithm based on third degree
modified extended B-spline (EBS) functions for solving time-fractional diffusion wave …