M. GASMI Abdelkader

Prof

Directory of teachers

Department

Informatics Department

Research Interests

1‐ Numerical methods for solving some problems with free boundary 2‐ Boundary value problems and partial differential equations. 3‐ Stochastic processes and their applications

Contact Info

University of M'Sila, Algeria

Email : abdelkader.gasmi@univ-msila.dz

On the Web:

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Recent Publications

2024-12-10

Interval Markov chain modeling for weather forecasting.

This article explores the use of Interval Markov Chains (IMCs) to improve the accuracy and reliability of
weather forecasting. IMCs enhance traditional Markov models by incorporating temporal intervals to
represent transitions between different weather states (e.g.,sunny, rainy, cloudy). This approach better
captures the dynamic and uncertain nature of atmospheric processes, allowing for more realistic
modeling of weather patterns over time. The study demonstrates that IMCs improve forecasting
accuracy by handling uncertainty and non-linear transitions, and can adapt to real-time data, offering
more flexible and responsive predictions. The research highlights the potential of IMCs to advance
weather prediction models and contribute to more sophisticated meteorological tools
Citation

M. GASMI Abdelkader, salaheddin.semati@univ-msila.dz, , (2024-12-10), "Interval Markov chain modeling for weather forecasting.", [international] ISIA'2024 , Mohamed Boudiaf University of M'Sila

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2024-05-14

Approximate solution of flow under a sluice gate with large Weber number

The problem of the steady two dimensional free surface flow of incompressible and inviscid f luid under a sluice gate is considered. The flow is assumed to be irrotational and steady, the effect of the surface tension is considered, but the gravity force is neglected. Schwarz Christoffel transformation is used to map the region in the complex potential plane, onto the upper half plane. The main purpose of this work is to give an approximate solution of this problem, by using the Hilbert method and the perturbation technique for small inclination angle, the results are calculated for a large values of the Weber number and small slope of the gate.
Citation

M. GASMI Abdelkader, (2024-05-14), "Approximate solution of flow under a sluice gate with large Weber number", [international] IC-NMAA'24 , University Mohamed El Bachir El Ibrahimi of Bordj Bou Arréridj

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Application of Interval Markov Chain In The Page Rank Algorithm

The Page Rank algorithm stands as an advanced ranking method presently employed
in Google’s search engine. This algorithm can be seen as a Markov chain, predicting the system’s
behavior as it transitions between states, relying exclusively on the current state. In this
work, we suggest using Markov Interval Chain models instead of Markov chains, because after
completing the crawling and indexing phase, the links between pages may change before
performing a new crawling process. The user initiates his query, and the search results will be
among the old pages, before changing the links between them, and here lies the issue that we
seek to solve then the links between pages can be changed over time. So, the results obtained
through Markov chains will be inaccurate. Overall,In the suggested model, the approach includes
taking into account the discrete values of the number of links between pages, treating
them as centers of symmetric intervals. Through said model, it would be possible to avoid the
problem of dangling node.
Citation

M. GASMI Abdelkader, salaheddin.semati@univ-msila.dz, , (2024-05-14), "Application of Interval Markov Chain In The Page Rank Algorithm", [international] IC-NMAA'24 , University Mohamed El Bachir El Ibrahimi of Bordj Bou Arréridj

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2023-11-06

Mathematical modelling of the spread of COVID-19 using Markov Interval Chain (MIC)

This paper discusses the application of Markov interval chain analysis for the long-term prediction of the spread of the Covid-19 pandemic by analyzing daily Covid-19 cases worldwide, the goal is to examine the longterm prediction of infected individuals using a stationary interval distribution of the interval Markov chain. The proposed model involves considering the numbers of daily declared cases, which are discrete values, as the centers of symmetric intervals. Through this approach, we have addressed the issue of fluctuations in the number of infected cases. This approach offers a mathematical model to enhance our understanding of the pandemic’s spread and can assist in the development of effective public health policies.
Citation

M. GASMI Abdelkader, (2023-11-06), "Mathematical modelling of the spread of COVID-19 using Markov Interval Chain (MIC)", [international] The first Sharjah International Conference on Mathematical Sciences , University of Sharjah

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2023-04-28

Numerical Study of a Mathematical Model of a Free-Surface Potential Flow

In this work, the problem of a potential and two-dimensional flow with a free surface of an incompressible, irrotational and inviscid fluid of a jet in front an inclined wall is considered, where γ is the inclination angle with the horizontal. The shape of the free surface is presented by curves which are found numerically by the series truncation method. This technique is based on the conformal transformations, resulting with the surface tension effect T with the boundary conditions on the free surfaces given by Bernoulli’s equation. The found results are dependant on parameters which are: the Weber’s number α and the angle γ. For each Weber’s number value, only one solution is specified and some shapes of free surfaces of the jet are illustrated.
Citation

M. GASMI Abdelkader, fairouz.chegaar@univ-setif.dz, , (2023-04-28), "Numerical Study of a Mathematical Model of a Free-Surface Potential Flow", [national] The Australian Journal of Mathematical Analysis and Applications , Austral Internet Publishing

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2023

Nonlinear Free Surface Flow past a Wedge in Channel

In this paper, the two-dimensional problem of irrotational flow past a wedge located in the center of the channel is considered. Assuming that the fluid is incompressible and non-viscous, the influence of gravity is ignored but the surface tension is considered. The problem which is characterized by the nonlinear boundary conditions on the free surface of the unknown equation is solved numerically by the series truncation technique. The results show that for all given wedge configurations, there is a critical value for the Weber number, for which there is no solution for every Weber number value smaller than this. In addition, the obtained results extend the work done by Gasmi and Mekias [2].
Citation

M. GASMI Abdelkader, (2023), "Nonlinear Free Surface Flow past a Wedge in Channel", [national] INCAS BULLETIN , INCAS - National Institute for Aerospace Research Elie Carafoli

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Markov interval chain (MIC) for solving a decision problem

One of the main missions of a certain company is to predict its future for reasons of continuity, which reflect the balance of its long term, in various aspects. In this work, we propose the use of Markov Interval Chain models to help business leaders to make better decisions. The proposed model consists in considering the numbers of customers declared by each company, which are discrete values as centers of symmetric intervals. By this, we have avoided the problem of increase and decrease in the number of customers for each company. As an example, we applied this model to predict the distribution of market shares in the later period as a probability distribution intervals, which provides information’s for companies to make decisions, and it gave satisfactory results.
Citation

M. GASMI Abdelkader, (2023), "Markov interval chain (MIC) for solving a decision problem", [national] OPSEARCH , Springer

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2022

An Approximate Solution Technique for the Flow Past an Obstacle with a Large Weber Number

The main objective of this work was to determine the shape of the two-dimensional freesurface flow over a triangular obstacle placed over a semi infinite channel’s bottom. The fluid possesses an inviscid and an incompressible nature, while the flow is considered irrotational and steady. Furthermore, we considered the impact of the superficial tension while neglecting the gravity’s. Employing the Hilbert transformation in tandem with the perturbation technique provides an approximate solution to the given problem with a large Weber number and slight variations of the triangle angle values. The unknown free-surface profiles are established for these variations of the triangle configuration and variousWeber numbers. The obtained results reveal the simplicity of the used method and provide approximate solutions for problems of the same type
Citation

M. GASMI Abdelkader, (2022), "An Approximate Solution Technique for the Flow Past an Obstacle with a Large Weber Number", [national] International Journal of Applied and Computational Mathematics , Springer

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THE APPLICATION OF THE HODOGRAPH METHOD TO FREE SURFACE FLOW PROBLEM

The problem of the steady two-dimensional free-surface flow of a fluid under a sluice gate is considered. The hodograph method is used to solve this problem analytically for different values of the inclination angle of the gate wall. The obtained results agree with the experimental and numerical results given by Birkhoff & Zarantonello and Gasmi & Mekias respectively.
Citation

M. GASMI Abdelkader, (2022), "THE APPLICATION OF THE HODOGRAPH METHOD TO FREE SURFACE FLOW PROBLEM", [national] Journal of Theoretical and Applied Mechanics , Walter de Gruyter

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Perturbation approach for a flow over a trapezoidal obstacle

In this paper, we tackle the two-dimensional and irrotational flow of inviscid and incom- pressible fluid over a trapezoidal obstacle. The free surface of the flow which is governed by the Bernoulli condition is determined as a part of solution of the problem. This condition renders difficult an analyt- ical solution of the problem. Hence, our work’s objective is utilize the Hilbert transformation and the perturbation technique to provide an approximate solution to this problem for large Weber numbers and various configurations of the obstacle. The obtained results demonstrate that the used method is easily applicable, and provides approximate solutions to these kinds of problems
Citation

M. GASMI Abdelkader, (2022), "Perturbation approach for a flow over a trapezoidal obstacle", [national] Journal of Siberian Federal University - Mathematics and Physics , Siberian Federal University

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2021

First order perturbation approach for the free surface flow over a step with large Weber number

The problem of two-dimensional free surface flow of inviscid and incompressible fluid over a step is considered. The flow is assumed to be as steady and irrotational, the effect of the surface tension is considered, but the gravity force is neglected. This problem is characterized by the nonlinear condition given by Bernoulli's equation on the unknown free surface, which can be considered as part of the solution. The main purpose of this work is to give an approximate solution of this problem, by using the Hilbert transformation and the perturbation technique; the results are calculated for a large values of the Weber number and small inclination angle of the step values. These results demonstrate that the used method is easily implemented, and provides approximate solutions to these kinds of problems.
Citation

M. GASMI Abdelkader, (2021), "First order perturbation approach for the free surface flow over a step with large Weber number", [national] INCAS BULLETIN , INCAS - National Institute for Aerospace Research Elie Carafoli

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2020

Two-Dimensional Jet Emerging From The Channel Against a Vertical Obstacle

In this paper, we study a problem of potential two dimensionnal flow of inviscid and incompresssible fluid emerging from channal and against a vertical obstacle: This problem is characterized by the nonlinear condition on the free surface wich is of unknown shape.
Citation

M. GASMI Abdelkader, Amara Abdelkader, , (2020), "Two-Dimensional Jet Emerging From The Channel Against a Vertical Obstacle", [national] The 2nd International Conference on Mathematics and Information Technology , Adrar, Algeria

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2019

Two Dimensional Free Surface Flows Past an Obstacle

The free surface problems can be defined as problems whose its mathematical formulation involves surfaces
that are to be determined as part of the solution of the problem. This type of problems is characterized by
the non-linear condition given by Bernoulli’s equation on its free boundary. Thus they are known in scientific
literature as problems where the Eulerian description is more practical to model them mathematically. In
this work, we try to give a mathematical formulation of two-dimensional free surface flow of inviscid and
incompressible fluid considered past an obstacle, using analytical and numerical techniques based on the
conformal mapping for reasons of simplification and find some approximate solutions.
Citation

M. GASMI Abdelkader, (2019), "Two Dimensional Free Surface Flows Past an Obstacle", [international] Third International Conference of Mathematical Sciences (ICMS 2019) , MALTEPE UNIVERSITY, ISTANBUL, TURKEY

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INTEGRO-DIFFERENTIAL EQUATION METHOD FOR DETERMINATION THE SHAPE OF TWO DIMENSIONAL JET FLOWS IN A SEMI INFINITE TUBE

In this work, we studied mathematically the two-dimensional free surface problem of a jet of inviscid
and incompressible fluid into a semi-infinite tube. The flow is considered to be irrotational.Where we
take in the consideration the surface tension effect, the problem becomes very difficult because of the
nonlinear condition on the free surface of the flow domain.This problem is also known as free boundary
problems whose his mathematical formulation involves surfaces that have to be found as part of the
solution. By using the integro-differential equation method, we solved numerically this problem for
different values of the Weber number, and some typical profiles of the free surface of the jet are illustrated
Citation

M. GASMI Abdelkader, ABDELKADER AMARA, , (2019), "INTEGRO-DIFFERENTIAL EQUATION METHOD FOR DETERMINATION THE SHAPE OF TWO DIMENSIONAL JET FLOWS IN A SEMI INFINITE TUBE", [international] International Arab Conference th The 6 on Mathematics and Computations (IACMC2019) , Zarqa University-Jordan

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2014

Numerical Study of Two-Dimensional Jet Flow Issuing from a Funnel

In this paper, the problem of steady two-dimensional flow emerging from a slot of a funnel is considered. The fluid is assumed to be incompressible and inviscid and the flow is irrotational. The problem is reformulated using conformal mappings and the resulting problem is then solved by using the series truncation method. We computed solutions for various values of the Weber numbers. The contraction coefficient for different forms of the funnel has been found. The shape of the free surface of the jet has been determined and presented.
Citation

M. GASMI Abdelkader, (2014), "Numerical Study of Two-Dimensional Jet Flow Issuing from a Funnel", [national] Advances in Applied Mathematics , Springe

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Two-dimensional cavitating flow past an oblique plate in a channel

A numerical method based on series truncation is presented to solve the problem of irrotational, inviscid, incompressible and steady flow of a fluid past an oblique flat plate placed in a tunnel. The gravity effect is neglected but we take into account the surface tension effect. A suggested numerical method for the solution of the fully nonlinear problem is presented for which the flow is super-critical in the downstream. It is found that solutions exist for each inclination angle of the plate. The effect of the Weber number, the value of the inclination angle and the shape of the free surface are discussed.
Citation

M. GASMI Abdelkader, (2014), "Two-dimensional cavitating flow past an oblique plate in a channel", [national] Journal of Computational and Applied Mathematics , Elsevier

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2007-01-25

Zero Gravity of Free-Surface Jet Flow

Our aim in this paper, is the studies of flow due to a jet against a
infinite vertical plate on the free surface, where the effects of gravity
and surface tension is not taken into account. We use initially the
method of the free streamline theory based on the hodograph method
and Schwarz-Christoffel transformation technique to obtain the exact
solution.
Citation

M. GASMI Abdelkader, (2007-01-25), "Zero Gravity of Free-Surface Jet Flow", [national] International Mathematical Forum , Hikari

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2007-01-22

The Free-Surface Flow due to a Jet Against an Infinite Vertical Plate in Presence of Surface Tension

In the present work, we are interested by the study of a bidimensional
and potential jet with a free surface. The fluid is assumed to be
inviscid, incompressible and irrotational against a vertical plate.With
the presence of the surface tension T on the free surface condition, we
computed numerically the solutions via a series tuncation method.Our
results obtained dependant of a physical parameter Weber number α
and the solution exist for any α ≥ 0.1.
Citation

M. GASMI Abdelkader, (2007-01-22), "The Free-Surface Flow due to a Jet Against an Infinite Vertical Plate in Presence of Surface Tension", [national] Applied Mathematical Sciences , Hikari

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2007

A Free Surface Flow over a Polygonal Obstacle

In the present work, we consider a bidimensional flow with a free
surface of an incompressible and inviscid fluid over a polygonal obstacle
(Housse-Model), where the effect of surface tension is not neglected. We
computed accurate numerical solution with surface tension (T = 0) via
a serie truncation . However, there is a solution for each value of the
Weber number α > αmin = 0.1.
Citation

M. GASMI Abdelkader, wahiba.delloum@univ-msila.dz, , (2007), "A Free Surface Flow over a Polygonal Obstacle", [national] International Mathematical Forum , Hikari

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A Jet from Container and Flow Past a Vertical Flat Plate in a Channel with the Surface Tension Effects

The problem of steady two-dimensional free surface potential flow of
incompressible fluid emerging from a slot of container of infinite long is
considered. The fluid is assumed to be inviscid and the flow is irrotational. The problem, which is characterized by the nonlinear boundary
condition on the free surface of unknown equation, is solved numerically
by series truncation. We computed solutions for arbitrary length of the
vertical wall of the container and various values of the Weber numbers.
Our problem is an extension of the work done by Gasmi and Mekias[1].
Citation

M. GASMI Abdelkader, Mekis Hocine, , (2007), "A Jet from Container and Flow Past a Vertical Flat Plate in a Channel with the Surface Tension Effects", [national] Applied Mathematical Sciences , Hikari

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2003

The effect of surface tension on the contraction coefficient of a jet

Two-dimensional free surface potential flow issued from an opening of a container is considered. The flow is assumed to be inviscid and incompressible. The mathematical problem, which is characterized by the nonlinear boundary condition on the free surface of an unknown equation, is solved via a series truncation. We computed solutions for all Weber numbers. Our problem is an extension of the work done by Ackerberg and Liu (1987 Phys. Fluids 30 289–96), the results confirm and extend their results.
Citation

M. GASMI Abdelkader, MEKIAS Hocine, , (2003), "The effect of surface tension on the contraction coefficient of a jet", [international] Journal of Physics A: Mathematical and General , IOPscience

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