Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
H Zhang, X Han, X Yang - Applied Mathematics and Computation, 2013 - Elsevier
Quintic B-spline collocation method for the numerical solution of fourth order partial integro-
differential equations is considered. The scheme is based on the second order backward …
differential equations is considered. The scheme is based on the second order backward …
Crank–Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
In this paper, we study a novel numerical scheme for the fourth order partial integro-
differential equation with a weakly singular kernel. In the time direction, a Crank–Nicolson …
differential equation with a weakly singular kernel. In the time direction, a Crank–Nicolson …
[HTML][HTML] Legendre–Galerkin spectral-element method for the biharmonic equations and its applications
A spectral-element method based on the Legendre–Galerkin approximation is presented to
solve the two-dimensional biharmonic equations. Rigorous error analysis is carried out to …
solve the two-dimensional biharmonic equations. Rigorous error analysis is carried out to …
[PDF][PDF] Efficient spectral collocation method for solving multi-term fractional differential equations based on the generalized Laguerre polynomials
In this paper, a new approximate formula of the fractional derivatives is derived. The
proposed formula is based on the generalized Laguerre polynomials. Global …
proposed formula is based on the generalized Laguerre polynomials. Global …
An efficient approximate method for solving linear fractional Klein–Gordon equation based on the generalized Laguerre polynomials
MM Khader - International Journal of Computer Mathematics, 2013 - Taylor & Francis
In this paper, a new approximate formula of the fractional derivative is derived. The
proposed formula is based on the generalized Laguerre polynomials. Global …
proposed formula is based on the generalized Laguerre polynomials. Global …
A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method
X Xu, D Xu - Computational and Applied Mathematics, 2018 - Springer
In this paper, a semi-discrete scheme is presented for solving fourth-order partial integro-
differential equations with a weakly singular kernel. The second-order backward difference …
differential equations with a weakly singular kernel. The second-order backward difference …
Efficient hyperbolic–parabolic models on multi‐dimensional unbounded domains using an extended DG approach
F Vismara, T Benacchio - International Journal for Numerical …, 2024 - Wiley Online Library
We introduce an extended discontinuous Galerkin discretization of hyperbolic–parabolic
problems on multidimensional semi‐infinite domains. Building on previous work on the one …
problems on multidimensional semi‐infinite domains. Building on previous work on the one …
A seamless, extended DG approach for advection–diffusion problems on unbounded domains
F Vismara, T Benacchio, L Bonaventura - Journal of Scientific Computing, 2022 - Springer
We propose and analyze a seamless extended Discontinuous Galerkin (DG) discretization
of advection–diffusion equations on semi-infinite domains. The semi-infinite half line is split …
of advection–diffusion equations on semi-infinite domains. The semi-infinite half line is split …
An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular cavities
J Zhang, J Jiao, F Lin, W Li, T Sun - International Journal of …, 2020 - Taylor & Francis
An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular
cavities is proposed in this paper. Firstly, we eliminate the singularity of biharmonic equation …
cavities is proposed in this paper. Firstly, we eliminate the singularity of biharmonic equation …