Finite Volume Scheme and Renormalized Solutions for a Noncoercive Elliptic Problem with Measure Data
Arouna Ouédraogo,
Wendlassida Basile Yaméogo
Issue:
Volume 12, Issue 1, February 2023
Pages:
1-11
Received:
14 January 2023
Accepted:
20 February 2023
Published:
2 March 2023
Abstract: The objective of this paper is to show that the approximate solution, by the finite volumes method, converges to the renormalized solution of elliptic problems with measure data. The methods used are a priori estimates and density arguments. In the first part, we recall formulas and give some notations which are useful for the next of the work. It is also mentioned some definitions and properties on Partial Differentials Equations. In the second part we show the bases principle of the main methods of discretization, more precisely, the finite volume method. In the third part, we study a no coercive elliptic convection-diffusion equation with measure data. In our case, we take a diffuse measure data instead of L1-data. The main originality in the present work is that we pass to the limit in a “renormalized discrete version”. A first difficulty is to establish a discrete version of the estimate on the energy. The second difficulty is to deal with the diffuse measure data. By adapting the strategy developed in the finite volume method, we state and show our main result: the approximate solution converges to the unique renormalized solution. This work ends with a conclusion.
Abstract: The objective of this paper is to show that the approximate solution, by the finite volumes method, converges to the renormalized solution of elliptic problems with measure data. The methods used are a priori estimates and density arguments. In the first part, we recall formulas and give some notations which are useful for the next of the work. It ...
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New Voting Method Adapted to Developing Countries (NoMePaVD)
Zoïnabo SAVADOGO,
Sougoursi Jean Yves ZARE,
Wambie ZONGO,
Blaise SOME
Issue:
Volume 12, Issue 1, February 2023
Pages:
12-15
Received:
19 December 2022
Accepted:
31 January 2023
Published:
9 March 2023
Abstract: Elections are the heart of democracy. The choices made by a social group generally affect all the individuals in that group. So social choice is about the selection of options by a group of individuals. Many voting methods exist in the literature but these methods are not necessarily adapted to the situation of low-income countries, forcing these countries to go into debt to organize elections that sometimes do not express the will of the people. In our case we seek to elect a president of the republic by indirect suffrage. To do this we first organize a coupled election (legislative and municipal) in which mayors and deputies are elected. Then, the latter will in turn constitute the electors responsible for designating a president of the republic. The weight of the votes of these electors in the choice of the president is therefore a function of the schooling rate of the region where they were designated. Thus, by applying the vote by score and considering the weight of the votes of the electors, a winner is designated. The winner of the election is the one who obtains the most points. This voting method has the advantage of being less costly.
Abstract: Elections are the heart of democracy. The choices made by a social group generally affect all the individuals in that group. So social choice is about the selection of options by a group of individuals. Many voting methods exist in the literature but these methods are not necessarily adapted to the situation of low-income countries, forcing these c...
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Effect of Mnemonic-Aided Instruction on Academic Performance of Maritime Students in Calculus
Issue:
Volume 12, Issue 1, February 2023
Pages:
16-22
Received:
25 February 2023
Accepted:
16 March 2023
Published:
28 March 2023
Abstract: This paper describes the effect of mnemonic aided instruction on the academic performance of maritime students in Calculus. Specifically, it aimed to determine the level of academic performance of students before and after the intervention when taken as a whole and in terms of the topic areas. Furthermore, it aimed to determine the significant difference between the level of academic performance before and after the intervention when taken as a whole and in terms of the topic areas (Derivative and Integral). A One-Group Pre-test Post-test Quasi-Experimental research design was used to assess the effect of mnemonic aided instruction on the academic performance of maritime students in calculus during the school year 2021-2022. The data were gathered using a researcher-made instrument in order to answer the study’s objectives, as reflected in the table of specifications prepared by the researcher, which had undergone validity and reliability testing. Thirty-four (34) maritime students participated in the study, considering they have complete attendance from the administration of test before intervention up to the administration of test after the intervention. The results showed that maritime students got low academic performance in calculus before the intervention and average level of academic performance in calculus after the intervention. This implied a favorable increase in students’ level of academic performance when taken as a whole and in terms of the topic areas after they are infused with mnemonic-aided instruction. Furthermore, the Wilcoxon Signed-Rank test results revealed a significant difference between the level of academic performance before and after the intervention when taken as a whole and in terms of the topic areas. From the results, this study emphasizes the need to consider the infusion of mnemonic-aided instruction to improve students’ learning through memory retention in calculus, specifically in the topic areas of derivative and integral.
Abstract: This paper describes the effect of mnemonic aided instruction on the academic performance of maritime students in Calculus. Specifically, it aimed to determine the level of academic performance of students before and after the intervention when taken as a whole and in terms of the topic areas. Furthermore, it aimed to determine the significant diff...
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