Group splitting with sor/aor methods for solving boundary value problems: A computational comparison
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 …
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 …
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 …
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 …
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) …
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 …
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 …
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
Modified Explicit Decoupled Group (MEDG) scheme from the rotated finite difference
discretization to the numerical solution of the nonlinear steady two dimensional Burgers' …
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 …
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 …
of fast iterative schemes from the preconditioned methods for solving the time-fractional …