A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel

M Faheem, A Khan - Applied Numerical Mathematics, 2023 - Elsevier
A high resolution wavelet collocation method based on Gegenbauer polynomials is
proposed for the solution of fourth-order time-fractional integro-differential equations …

Determination of the time-dependent thermal grooving coefficient

K Cao, D Lesnic, MI Ismailov - Journal of Applied Mathematics and …, 2021 - Springer
Abstract Changes in morphology of a polycrystalline material may occur through interface
motion under the action of a driving force. An important special case that is considered in …

Finite difference schemes for the fourth‐order parabolic equations with different boundary value conditions

X Lu, GH Gao, ZZ Sun - Numerical Methods for Partial …, 2023 - Wiley Online Library
In this paper, the fourth‐order parabolic equations with different boundary value conditions
are studied. Six kinds of boundary value conditions are proposed. Several numerical …

Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space

S Arshad, M Wali, J Huang, S Khalid… - Journal of Applied …, 2022 - Springer
A finite difference scheme along with a fourth-order approximation is examined in this article
for finding the solution of time-fractional diffusion equation with fourth-order derivative in …

The compact difference approach for the fourth‐order parabolic equations with the first Neumann boundary value conditions

G Gao, Y Huang, ZZ Sun - Mathematical Methods in the …, 2023 - Wiley Online Library
In this paper, the fourth‐order parabolic equation with the first Neumann boundary value
conditions is concerned, where the values of the first and second spatial derivatives of the …

Pointwise error estimate of the compact difference methods for the fourth‐order parabolic equations with the third Neumann boundary conditions

G Gao, Y Huang, ZZ Sun - Mathematical Methods in the …, 2024 - Wiley Online Library
Various boundary value conditions have been endowed for the fourth‐order differential
equations. In the current work, a class of the fourth‐order parabolic equations with the third …

Verification of convergence rates of numerical solutions for parabolic equations

D Jeong, Y Li, C Lee, J Yang, Y Choi… - Mathematical Problems …, 2019 - Wiley Online Library
In this paper, we propose a verification method for the convergence rates of the numerical
solutions for parabolic equations. Specifically, we consider the numerical convergence rates …

Hermite Interpolation Approach to High-Order Approximation of Heat Equations

C Nwaigwe, A Weli - European Journal of Mathematics and Statistics, 2023 - ej-math.org
It is usually desirable to approximate the solution of mathematical problems with high-order
of accuracy and preferably using compact stencils. This work presents an approach for …

[PDF][PDF] Research Article Verification of Convergence Rates of Numerical Solutions for Parabolic Equations

D Jeong, Y Li, C Lee, J Yang, Y Choi, J Kim - 2019 - academia.edu
In this paper, we propose a verification method for the convergence rates of the numerical
solutions for parabolic equations. Specifically, we consider the numerical convergence rates …