Ousseni So | Université de ouagadougou (original) (raw)

Papers by Ousseni So

Research paper thumbnail of A Generalized Review on Homogenization and Two-Scale Convergence

Journal of mathematical sciences : advances and applications, Oct 10, 2019

We study homogenization and two-scale convergence. Homogenization is a mathematical concept that ... more We study homogenization and two-scale convergence. Homogenization is a mathematical concept that makes it possible to develop a global model of the behaviour of a physical structure evolving in a heterogeneous structure. The behaviour of this physical structure will therefore be studied in a homogeneous environment, which greatly facilitates calculations. The two-scale convergence method was introduced by Nguetseng and later developed by Allaire. It is a particular form of weak convergence, a convergence between weak convergence GÉRARD ZONGO et al. 54 and strong convergence. The two-scale convergence simplifies the proof of homogenization theory. The method evolved very quickly and has been extended to several cases depending on the functional space.

Research paper thumbnail of A Comparison of Adomian’s Method and Sba Method on the Nonlinear Schrödinger’s Equation

Far East Journal of Dynamical Systems, Dec 1, 2017

Research paper thumbnail of New Metric Procedure of Multi-Decisions Makers Choice

Far east journal of applied mathematics, Dec 26, 2016

Research paper thumbnail of Numerical resolution of Richards equation by the RBF-MQ method

In this paper, the flow equation in unsaturated porous media is numerically integrated using the ... more In this paper, the flow equation in unsaturated porous media is numerically integrated using the RBF-MQ method which is a meshless method. The conservative form which is a pressure-content method was considered. The Richards equation being strongly non-linear, we used Newton-Raphson's iterative method for linearisation. A implicit Euler scheme was used for temporal discretization. Comparison with exacts solution and experimental cases existing in the literature have shown the effectiveness of the approach.

Research paper thumbnail of Comparison of Finite Difference Scheme and Adomian Decomposition Method for Solving Reaction Diffusion Equation with Blow Up

Far east journal of applied mathematics, 2017

Research paper thumbnail of A RKHS Method for Determination of Potential Energy Curve from Ab Initio Data

Far East Journal of Applied Mathematics, 2018

Research paper thumbnail of A Generalized Review on Homogenization and Two-Scale Convergence

Journal of Mathematical Sciences: Advances and Applications, 2019

We study homogenization and two-scale convergence. Homogenization is a mathematical concept that ... more We study homogenization and two-scale convergence. Homogenization is a mathematical concept that makes it possible to develop a global model of the behaviour of a physical structure evolving in a heterogeneous structure. The behaviour of this physical structure will therefore be studied in a homogeneous environment, which greatly facilitates calculations. The two-scale convergence method was introduced by Nguetseng and later developed by Allaire. It is a particular form of weak convergence, a convergence between weak convergence GÉRARD ZONGO et al. 54 and strong convergence. The two-scale convergence simplifies the proof of homogenization theory. The method evolved very quickly and has been extended to several cases depending on the functional space.

Research paper thumbnail of Numerical scheme for solving some reaction diffusion equations with blow up

This paper aims to show the convergence of a numerical scheme for solving slow diffusion equation... more This paper aims to show the convergence of a numerical scheme for solving slow diffusion equations. Numerical simulations have shown the efficiency of this scheme [G. Barro, B. Mampassi, L. Some, J. M. Ntaganda, O. So, Cent. Eur. J. Math. 4, No. 2, 260–269 (2006; Zbl 1113.65089)].

Research paper thumbnail of A numerical method for some nonlinear differential equation models in biology

Applied Mathematics and Computation, 2008

Research paper thumbnail of Full discretization of some reaction diffusion equation with blow up

Central European Journal of Mathematics, 2006

This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems... more This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems with a convection that blows up in a finite time. A full discretization of this problem that preserves the blow — up property is presented as well as a numerical simulation. Efficiency of the method is derived via a numerical comparison with a classical scheme based on the Runge Kutta scheme.

Research paper thumbnail of Identification of Parameters of Richards Equation Using Modified Hybrid Grey Wolf Optimizer-Genetic Algorithm (HmGWOGA)

European Journal of Pure and Applied Mathematics

In this paper, it is a question of identification of the parameters in the equation ofRichards mo... more In this paper, it is a question of identification of the parameters in the equation ofRichards modelling the flow in unsaturated porous medium. The mixed formulation pressure head-moisture content has been used. The direct problem was solved using Multiquadratic Radial Basis Function ( RBF-MQ ) method which is a meshless method. The Newton-Raphson’s method was used to linearize the equation. The function cost used is built by using the infiltration. The optimization method used is a meta-heuristic called Modified hybrid Grey Wolf Optimizer -Genetic Algorithm (HmGWOGA). A test on experimental data has been carried. We compared the results with genetic algorithms. The results showed that this new method was better than genetic algorithms.

Research paper thumbnail of NUMERICAL SCHEME FOR SOLVING SOME REACTION DIFFUSION EQUATIONS WITH BLOW UP

This paper aims to show the existence and the propreties of the numerical solution of a nonlinear... more This paper aims to show the existence and the propreties of the numerical solution of a nonlinear reaction di¤usion problem with a convection , that blows up in a …nite time. Numerical simulations has show that this scheme is very e¢ cient to solve this problem (see ).

Research paper thumbnail of A Generalized Review on Homogenization and Two-Scale Convergence

Journal of mathematical sciences : advances and applications, Oct 10, 2019

We study homogenization and two-scale convergence. Homogenization is a mathematical concept that ... more We study homogenization and two-scale convergence. Homogenization is a mathematical concept that makes it possible to develop a global model of the behaviour of a physical structure evolving in a heterogeneous structure. The behaviour of this physical structure will therefore be studied in a homogeneous environment, which greatly facilitates calculations. The two-scale convergence method was introduced by Nguetseng and later developed by Allaire. It is a particular form of weak convergence, a convergence between weak convergence GÉRARD ZONGO et al. 54 and strong convergence. The two-scale convergence simplifies the proof of homogenization theory. The method evolved very quickly and has been extended to several cases depending on the functional space.

Research paper thumbnail of A Comparison of Adomian’s Method and Sba Method on the Nonlinear Schrödinger’s Equation

Far East Journal of Dynamical Systems, Dec 1, 2017

Research paper thumbnail of New Metric Procedure of Multi-Decisions Makers Choice

Far east journal of applied mathematics, Dec 26, 2016

Research paper thumbnail of Numerical resolution of Richards equation by the RBF-MQ method

In this paper, the flow equation in unsaturated porous media is numerically integrated using the ... more In this paper, the flow equation in unsaturated porous media is numerically integrated using the RBF-MQ method which is a meshless method. The conservative form which is a pressure-content method was considered. The Richards equation being strongly non-linear, we used Newton-Raphson's iterative method for linearisation. A implicit Euler scheme was used for temporal discretization. Comparison with exacts solution and experimental cases existing in the literature have shown the effectiveness of the approach.

Research paper thumbnail of Comparison of Finite Difference Scheme and Adomian Decomposition Method for Solving Reaction Diffusion Equation with Blow Up

Far east journal of applied mathematics, 2017

Research paper thumbnail of A RKHS Method for Determination of Potential Energy Curve from Ab Initio Data

Far East Journal of Applied Mathematics, 2018

Research paper thumbnail of A Generalized Review on Homogenization and Two-Scale Convergence

Journal of Mathematical Sciences: Advances and Applications, 2019

We study homogenization and two-scale convergence. Homogenization is a mathematical concept that ... more We study homogenization and two-scale convergence. Homogenization is a mathematical concept that makes it possible to develop a global model of the behaviour of a physical structure evolving in a heterogeneous structure. The behaviour of this physical structure will therefore be studied in a homogeneous environment, which greatly facilitates calculations. The two-scale convergence method was introduced by Nguetseng and later developed by Allaire. It is a particular form of weak convergence, a convergence between weak convergence GÉRARD ZONGO et al. 54 and strong convergence. The two-scale convergence simplifies the proof of homogenization theory. The method evolved very quickly and has been extended to several cases depending on the functional space.

Research paper thumbnail of Numerical scheme for solving some reaction diffusion equations with blow up

This paper aims to show the convergence of a numerical scheme for solving slow diffusion equation... more This paper aims to show the convergence of a numerical scheme for solving slow diffusion equations. Numerical simulations have shown the efficiency of this scheme [G. Barro, B. Mampassi, L. Some, J. M. Ntaganda, O. So, Cent. Eur. J. Math. 4, No. 2, 260–269 (2006; Zbl 1113.65089)].

Research paper thumbnail of A numerical method for some nonlinear differential equation models in biology

Applied Mathematics and Computation, 2008

Research paper thumbnail of Full discretization of some reaction diffusion equation with blow up

Central European Journal of Mathematics, 2006

This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems... more This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems with a convection that blows up in a finite time. A full discretization of this problem that preserves the blow — up property is presented as well as a numerical simulation. Efficiency of the method is derived via a numerical comparison with a classical scheme based on the Runge Kutta scheme.

Research paper thumbnail of Identification of Parameters of Richards Equation Using Modified Hybrid Grey Wolf Optimizer-Genetic Algorithm (HmGWOGA)

European Journal of Pure and Applied Mathematics

In this paper, it is a question of identification of the parameters in the equation ofRichards mo... more In this paper, it is a question of identification of the parameters in the equation ofRichards modelling the flow in unsaturated porous medium. The mixed formulation pressure head-moisture content has been used. The direct problem was solved using Multiquadratic Radial Basis Function ( RBF-MQ ) method which is a meshless method. The Newton-Raphson’s method was used to linearize the equation. The function cost used is built by using the infiltration. The optimization method used is a meta-heuristic called Modified hybrid Grey Wolf Optimizer -Genetic Algorithm (HmGWOGA). A test on experimental data has been carried. We compared the results with genetic algorithms. The results showed that this new method was better than genetic algorithms.

Research paper thumbnail of NUMERICAL SCHEME FOR SOLVING SOME REACTION DIFFUSION EQUATIONS WITH BLOW UP

This paper aims to show the existence and the propreties of the numerical solution of a nonlinear... more This paper aims to show the existence and the propreties of the numerical solution of a nonlinear reaction di¤usion problem with a convection , that blows up in a …nite time. Numerical simulations has show that this scheme is very e¢ cient to solve this problem (see ).