Group splitting with sor/aor methods for solving boundary value problems: A computational comparison

AM Saeed, NM AL-harbi - European Journal of Pure and Applied …, 2021 - ejpam.com
Many researchers are working on the explicit group methods as the alternative methods for
solving several boundary value problems. These methods have been shown to be much …

[PDF][PDF] Improved rotated finite difference method for solving fractional elliptic partial differential equations

AM Saeed - American Scientific Research Journal for Engineering …, 2016 - core.ac.uk
Real life problems with fractional partial differential equations (FPDE's) are of great
importance, since fractional differential equations accumulate the whole information of the …

[PDF][PDF] Fast iterative solver for the 2-D convection-diffusion equations

AM Saeed - Journal: JOURNAL OF ADVANCES IN …, 2014 - researchgate.net
In this paper, we introduce the preconditioned Explicit Decoupled Group (EDG) for solving
the two dimensional Convection-Diffusion equation with initial and Dirichlet boundary …

[PDF][PDF] A new version of the accelerated frfd method for solving time-fractional diffusion equations

AM Saeed - Journal of Computer Science and Computational …, 2018 - jcscm.net
Over the last few years, iterative schemes, derived from the rotated finite difference
approximation, have been proven to work well in solving standard diffusion equations …

Convergence analysis of the preconditioned group splitting methods in boundary value problems

NH Mohd Ali… - Abstract and Applied …, 2012 - Wiley Online Library
The construction of a specific splitting‐type preconditioner in block formulation applied to a
class of group relaxation iterative methods derived from the centred and rotated (skewed) …

Efficient group iterative method for solving the biharmonic equation

AM Saeed - British Journal of Mathematics & Computer …, 2015 - publish7promo.com
The biharmonic equations arise in many applications such as elasticity, fluid mechanics, and
many other areas. In this paper, the combination of Explicit Decoupled Group (EDG) method …

[PDF][PDF] Solving 2d time-fractional diffusion equations by preconditioned fractional edg method

AM Saeed - Progressive Research in Mathematics, 2018 - researchgate.net
Fractional differential equations play a significant role in science and technology given that
several scientific problems in mathematics, physics, engineering and chemistry can be …

[PDF][PDF] A new approach on numerical solutions of burgers equation using PMEDG iterative method

AM Saeed, AM Badiea - Journal of Asian Scientific Research, 2017 - researchgate.net
Modified Explicit Decoupled Group (MEDG) scheme from the rotated finite difference
discretization to the numerical solution of the nonlinear steady two dimensional Burgers' …

[PDF][PDF] Preconditioned Fractional MEG Iterative Method for Solving the Time Fractional Advection-Diffusion Equation

AM Saeed - Advances in Dynamical Systems and Applications …, 2021 - researchgate.net
In recent decades, grou** strategies have been proven to possess characteristics that are
able to reduce the spectral radius of the generated matrix resulting from the finite difference …

[PDF][PDF] On Approximate Solutions for Time-Fractional Diffusion Equation

AM Saeed - Journal of Asian Scientific Research, 2018 - researchgate.net
Contribution/Originality: This study contributes in the existing literature about the foundation
of fast iterative schemes from the preconditioned methods for solving the time-fractional …