Efficient approximate analytical methods for nonlinear fuzzy boundary value problem

This paper aims to solve the nonlinear two-point fuzzy boundary value problem (TPFBVP) using approximate analytical methods. Most fuzzy boundary value problems cannot be solved exactly or analytically. Even if the analytical solutions exist, they may be challenging to evaluate. Therefore, approximate analytical methods may be necessary to consider the solution. Hence, there is a need to formulate new, efficient, more accurate techniques. This is the focus of this study: two approximate analytical methods-homotopy perturbation method (HPM) and the variational iteration method (VIM) is proposed. Fuzzy set theory properties are presented to formulate these methods from crisp domain to fuzzy domain to find approximate solutions of nonlinear TPFBVP. The presented algorithms can express the solution as a convergent series form. A numerical comparison of the mean errors is made between the HPM and VIM. The results show that these methods are reliable and robust. However, the comparison reveals that VIM convergence is quicker and offers a swifter approach over HPM. Hence, VIM is considered a more efficient approach for nonlinear TPFBVPs.

Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation

The development of analytical methods for viscoelastic fluid flows is challenging. Currently, this problem has been solved for particular cases of multimode differential rheological equations of media state (Giesekus, the exponential form of Phan-Tien-Tanner, eXtended Pom-Pom). We propose a parametric method that yields solutions without additional assumptions. The method is based on the parametric representation of the unknown velocity functions and the stress tensor components as a function of coordinate. Experimental flow visualization based on the SIV (smoke image velocimetry) method was carried out to confirm the obtained results. Compared to the Giesekus model, the experimental data are best predicted by the eXtended Pom-Pom model.

Unravelling Racist Ideological Attitudes in Texts for EFL Students’ Consciousness Awareness

The present paper seeks to raise students‘ consciousness about how language can be used to encode ideological meanings. It also aims to enhance their critical thinking about how social structures- notably racist practices- implicitly impact their behavior and attitudes. In that sense, it draws on critical discourse analysis (hereafter, CDA) to disentangle the meanings of a set of texts dealing with racial discrimination in Go for English Tle used to teach upper sixth students English in Benin. The study basically focuses on van Dijk (1993)‘s and Fowler & Kress (1979)‘s analytical methods to disclose the transparent and hidden situated meanings conveyed in/by the texts at stake. The results of the analysis reveal that racism, as a social practice, is not peculiar to any specific group or community; rather, it is expressed through discourse in all continents. It is concluded from the findings that CDA can serve as a potent theoretical and emancipatory tool for the analysis of important sociolinguistic, linguistic, educational, and multiracial issues facing students.

Supplemental Material: Calibrating the Russøya excursion in Svalbard, Norway, and implications for Neoproterozoic chronology

Detailed analytical methods and sample information, data tables containing all geochemical data, and compiled geochronological and chemostratigraphic data.<br>

Supplemental Material: Rifting of the Indian passive continental margin: Insights from the Langjiexue basalts in the central Tethyan Himalaya, southern Tibet

Text S1: Analytical methods. Figure S1: Zr versus selected element variation diagrams to highlight the effects of alteration and metamorphism for the basalts from Langjiexue area. Figure S2: (A) Ti/Y vs. TiO2, and (B) Ti/Y vs. MgO diagrams for the basalt samples from the Langjiexue in Tethyan Himalaya. Table S1: Representative Permian-Triassic magmatic events along the Tethyan Himalaya. Table S2: Zircon LA-ICP-MS U-Pb in-situ analyzing results for zircons from the Langjiexue basalts. Table S3: Whole-rock major, trace element and Sr-Nd isotope data of Langjiexue basalts.

Supplemental Material: Calibrating the Russøya excursion in Svalbard, Norway, and implications for Neoproterozoic chronology

Detailed analytical methods and sample information, data tables containing all geochemical data, and compiled geochronological and chemostratigraphic data.<br>

Supplemental Material: Rifting of the Indian passive continental margin: Insights from the Langjiexue basalts in the central Tethyan Himalaya, southern Tibet

Text S1: Analytical methods. Figure S1: Zr versus selected element variation diagrams to highlight the effects of alteration and metamorphism for the basalts from Langjiexue area. Figure S2: (A) Ti/Y vs. TiO2, and (B) Ti/Y vs. MgO diagrams for the basalt samples from the Langjiexue in Tethyan Himalaya. Table S1: Representative Permian-Triassic magmatic events along the Tethyan Himalaya. Table S2: Zircon LA-ICP-MS U-Pb in-situ analyzing results for zircons from the Langjiexue basalts. Table S3: Whole-rock major, trace element and Sr-Nd isotope data of Langjiexue basalts.

Comparison of Low-Cost Methods for Soil Water Holding Capacity

Purpose: The use of cost-effective methods for measurement of WHC is common in underdeveloped and developing countries, but the accuracy of these cost-effective methods compared to the sophisticated and more expensive alternatives is unclear. Methods: To compare different WHC measurement methods, 30 random samples of clay loam and sandy clay loam soils of Jhansi, India were used. The methods compared here were: FAO in-situ method (FAO), Keen Raczkowski box method (KM), funnel method (FM), column method (CM) and pressure plate method (PPA). Results: For WHC measurements the PPA results were comparable to KM and FM methods for sandy clay loam, and KM and FAO methods for clay loam. Conclusion: Therefore, until a reliable method that matches the results of sophisticated analytical methods of soil water measurement is available, different inexpensive analytical methods can be used, but they must be chosen with caution. The findings from this study will facilitate appropriate selection of a suitable method.