High-order solution of Generalized Burgers–Fisher Equation using compact finite difference and DIRK methods

MA Pirdawood, YA Sabawi - Journal of Physics: Conference …, 2021 - iopscience.iop.org
The main goal of this paper is to developed a high-order and accurate method for the
solution of one-dimensional of generalized Burgers-Fisher with Numman boundary …

Posteriori error bound for fullydiscrete semilinear parabolic integro-differential equations

YA Sabawi - Journal of physics: Conference series, 2021 - iopscience.iop.org
The main goal of this paper is to obtain error bounds for parabolic integro-differential
equation. The derivation of these bounds is based elliptic and Ritz-Volterra reconstructions …

Semi-implicit and explicit runge kutta methods for stiff ordinary differential equations

YA Sabawi, MA Pirdawood… - Journal of physics …, 2021 - iopscience.iop.org
In this work, we study the A [α]–stability of the additive methods of Runge-Kutta kind of
orders ranging from 2 up to 4 that will be applied for determining some stiff nonlinear system …

A compact fourth-order implicit-explicit Runge-Kutta type method for solving diffusive Lotka–Volterra system

YA Sabawi, MA Pirdawood… - Journal of Physics …, 2021 - iopscience.iop.org
This paper aims to developed a high-order and accurate method for the solution of one-
dimensional Lotka-Volterra-diffusion with Numman boundary conditions. A fourth-order …

Optimal rates for the parameter prediction of a Gaussian Vasicek process

AD Khalaf, A Zeb, YA Sabawi, S Djilali… - The European Physical …, 2021 - Springer
In this article, we deal with statistical estimation problems of drift parameters of a Vasicek-
type model that is perturbed by Gaussian noise that is defined via dz_t= ϑ (ν-z_t) dt+ dG_t,\; …

Numerical solution of the Whitham-Broer-Kaup shallow water equation by quartic B-spline collocation method

YA Sabawi, HQ Hamad - Physica Scripta, 2023 - iopscience.iop.org
This paper introduces a novel quartic B-spline collocation method to address the coupled
Whitham–Broer–Kaup (WBK) problem. The WBK problem is a topic of interest in the study of …

[PDF][PDF] Mathematical modeling and analysis for COVID-19 model by using implicit-explicit Rung-Kutta methods

MA Pirdawood, HM Rasool, YA Sabawi… - Academic Journal of …, 2022 - researchgate.net
One of the most common health care problems globally is COVID-19, and also there are an
international effort to monitor it have been proposed and discussed. Despite the fact that …

Model reduction and analysis for ERK cell signalling pathway using implicit-explicit Rung-Kutta methods

HM Rasool, MA Pirdawood… - Passer Journal of …, 2022 - passer.garmian.edu.krd
Many complex cell signalling pathways and chemical reaction networks include many
variables and parameters; this is sometimes a big issue for identifying critical model …

Signal diagonally implicit Runge Kutta (SDIRK) methods for solving stiff ordinary problems

YA Sabawi, MA Pirdawood, AD Khalaf - AIP Conference Proceedings, 2023 - pubs.aip.org
This paper is devoted to study the methods corresponding families of one-step methods like
the methods of Runge-Kutta, Rosenbrock, and ObreschKov. Which have A-stable of order 2 …

[PDF][PDF] A posteriori error analysis for discontinuous Galerkin methods for time discrete semilinear parabolic problems

M Sabawi - Italian Journal of Pure and Applied Mathematics - researchgate.net
A posteriori error estimates for time discretisations for semilinear parabolic (evolution)
problems by the discontinuous Galerkin method DG (r) of arbitrary order r≥ 0 are derived …