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Youssouf Pare

Publications (4)

Contribution to the Numerical Solution of Nonlinear Heat Transfer Equation Subject to a Boundary Integral Specification

Djibet Mbainguesse, Bakari Abbo & Youssouf Pare · Journal of Advances in Mathematics and Computer Science · 2023

The work presents one dimensional heat transfer in a media with temperature-dependent thermal conductivity. We solve numerically the one-dimensional unsteady heat conduction equation subject to initial condition and integral boundary conditions. We first discertize the equation i...

Open access Research Article 10.9734/jamcs/2023/v38i21745

Coupling the SBA Method and the Elzaki Transformation to Solve Nonlinear Fractional Differential Equations

Kamate Adama, Bakari Abbo, Djibet Mbaiguesse & Youssouf Pare · Journal of Advances in Mathematics and Computer Science · 2022

In this paper, we propose a new technique well adapted to the solution of nonlinear fractional differential equations. This technique combines the Elzaki transorm and the Some Blaise-Abbo (SBA) method. It allows to find the exact solution or an acceptable approximate solution of...

Open access Research Article 10.9734/jamcs/2022/v37i111720

Exact Analytical Solution of Ivancevic Options Pricing Model (IOPM) or Schrodinger's Equation via ADM and SBA Methods

Kamate Adama, Pare Daouda, Mouyedo Loufouilou Justin & Youssouf Pare · Asian Research Journal of Mathematics · 2022

This paper is devoted to the study of the general equation of the Ivancevic option pricing model (IOPM) or Schrodinger’s equation and to determine its analytical solution via the methods of numerical analysis ADM and SBA. The Ivancevic option pricing model is an adaptive wave mod...

Open access Research Article 10.9734/arjom/2022/v18i330366

Application of the Some Blaise Abbo (SBA) Method to Solving the Time-fractional Schrödinger Equation and Comparison with the Homotopy Perturbation Method

Joseph Bonazebi Yindoula, Yanick Alain Servais Wellot, Bamogo Hamadou, Francis Bassono & Youssouf Pare · Asian Research Journal of Mathematics · 2022

We have solved the Schrödinger equation with the HPM method and the SBA method. We have noticed that with these two methods we find the same result.

Open access Research Article 10.9734/arjom/2022/v18i11601