Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations

HM Ahmed - Boundary Value Problems, 2023 - Springer
This paper presents a new way to solve numerically multiterm variable-order fractional
differential equations (MTVOFDEs) with initial conditions by using a class of modified shifted …

New Generalized Jacobi Galerkin operational matrices of derivatives: An algorithm for solving multi-term variable-order time-fractional diffusion-wave equations

HM Ahmed - Fractal and Fractional, 2024 - mdpi.com
The current study discusses a novel approach for numerically solving MTVO-TFDWEs under
various conditions, such as IBCs and DBCs. It uses a class of GSJPs that satisfy the given …

[PDF][PDF] A New Stochastic Magnus Expansion For Linear Stochastic Differential Equations.

P Yin, X Wang - Engineering Letters, 2022 - engineeringletters.com
Based on the stochastic Magnus expansion, an explicit expression for the solution of the
linear stochastic differential equations is proposed in this paper. By use of the Lie bracket …

Shifted-Legendre orthonormal method for delay heat conduction equation

L Mei, B Wu, Y Lin - Applied Mathematics Letters, 2022 - Elsevier
In this article, a Shifted-Legendre orthonormal method for solving delay heat conduction
equations is considered. This method, based on Legendre orthogonal polynomials, gives …

[PDF][PDF] Shifted-Legendre orthonormal method for high-dimensional heat conduction equations

L Mei, B Wu, Y Lin - AIMS Mathematics, 2022 - aimspress.com
In this paper, a numerical alogorthm for solving high-dimensional heat conduction equations
is proposed. Based on Shifted-Legendre orthonormal polynomial and ε− best approximate …