Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems
This paper proposes the alternating direction implicit (ADI) numerical approaches for
computing the solution of multi-dimensional distributed-order fractional integrodifferential …
computing the solution of multi-dimensional distributed-order fractional integrodifferential …
Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity
This paper adopts an accurate and robust algorithm for the nonlocal heat equation having a
weakly singular kernel in three dimensions. The proposed method approximates the …
weakly singular kernel in three dimensions. The proposed method approximates the …
A localized hybrid kernel meshless technique for solving the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid
This paper presents an efficient stabilized meshless technique with a hybrid kernel to
simulate the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid. The …
simulate the fractional Rayleigh–Stokes problem for an edge in a viscoelastic fluid. The …
Analytical solutions of the Predator–Prey model with fractional derivative order via applications of three modified mathematical methods
We have investigated wave solutions of the Predator–Prey (PP) model with fractional
derivative order by novel three modified mathematical methods with the help of the …
derivative order by novel three modified mathematical methods with the help of the …
Approximate solution of nonlinear time-fractional PDEs by Laplace residual power series method
Most physical phenomena are formulated in the form of non-linear fractional partial
differential equations to better understand the complexity of these phenomena. This article …
differential equations to better understand the complexity of these phenomena. This article …
Solving and numerical simulations of fractional-order governing equation for micro-beams
A Yang, Q Zhang, J Qu, Y Cui, Y Chen - Fractal and Fractional, 2023 - mdpi.com
This paper applies a recently proposed numerical algorithm to discuss the deflection of
viscoelastic micro-beams in the time domain with direct access. A nonlinear-fractional order …
viscoelastic micro-beams in the time domain with direct access. A nonlinear-fractional order …
Hahn hybrid functions for solving distributed order fractional Black–Scholes European option pricing problem arising in financial market
The main purpose of this work is to present a new numerical method based on Hahn hybrid
functions (HHFs) for solving of Black–Scholes option pricing distributed order time‐fractional …
functions (HHFs) for solving of Black–Scholes option pricing distributed order time‐fractional …
A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction–diffusion model in the multi-dimensional case
This paper introduces a mixed meshless method for the numerical solution of time-fractional
fourth-order reaction–diffusion model in multi-dimensional case. By additional variable σ= Δ …
fourth-order reaction–diffusion model in multi-dimensional case. By additional variable σ= Δ …
Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations
The main idea of this paper is to establish the novel Hahn wavelets for solving fractional-
order integro-differential equations (FIDEs). First, we introduce Hahn wavelets and some of …
order integro-differential equations (FIDEs). First, we introduce Hahn wavelets and some of …
Variational fractional-order modeling of viscoelastic axially moving plates and vibration simulation
J Qu, Q Zhang, A Yang, Y Chen, Q Zhang - Communications in Nonlinear …, 2024 - Elsevier
Based on the thin plate theory and D'Alembert's principle to establish the equilibrium
equation for viscoelastic axially moving plates, this paper establishes the ternary governing …
equation for viscoelastic axially moving plates, this paper establishes the ternary governing …