Some Approaches for Solving Multiplicative Second-Order Linear Differential Equations with Variable Exponentials and Multiplicative Airy’s Equation

Gulsen, Tuba

doi:10.55525/tjst.1282216

Turkish Journal of Science and Technology

2023

DOI: 10.55525/tjst.1282216

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Some Approaches for Solving Multiplicative Second-Order Linear Differential Equations with Variable Exponentials and Multiplicative Airy’s Equation

Tuba Gulsen

Abstract: This paper offers several approaches for solving multiplicative second-order linear differential equations with variable exponentials, such as normalization and reduction to Riccati equations. In addition, in this paper, the multiplicative version of the Airy equation, which emerges in fluid mechanics, geophysics, and atomic physics, is solved using the multiplicative power series solution method.

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Examination Of Perlite-Polymer Interface Interactions in Polypropylene-Based Composites via Several Compatibilizers

ARSLAN,

TAYFUN,

DOĞAN

2023

Hittite Journal of Science and Engineering

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The surface contact between the polymer and the mineral additive is one of the most significant aspects influencing the efficiency of mineral-filled polymeric composites. In this work, three distinct compatibilizers were introduced to composites based on polypropylene (PP) and perlite to improve interactions between the constituents. On composites comprising 10% expanded perlite content, three different ratios of ethylene vinyl acetate copolymer (EVA), thermoplastic polyurethane elastomer (TPU), and maleic anhydride grafted polypropylene (MA-PP) compatibilizers were employed. The composite was produced using an approach designated melt blending followed by injection molding. The composites containing MA-PP compatibilizer possessed the most outstanding performance, according to the results of mechanical, physical, and dynamic mechanical evaluations and morphological characterizations. The investigated aspects indicated a rise in the composites containing 10 percent compatibilizer with the lowest adding amount, whereas performances declined at high compatibilizer contents. Along with these results, it was determined that the compatibilizers included in the PP/perlite composite system assisted in the fabrication of the composites by promoting the force values and melt flow rates identified during melt mixing. Following the test outcomes, MA-PP performed better than TPU and EVA in terms of compatibilizer efficiency. In general, it has been revealed that the selection of MA-PP compatibilizer in the manufacturing stages would offer benefits in terms of both simplicity of processing and mechanical strength where expanded perlite will be adopted as a natural filler for PP-based composites.

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Examination Of Perlite-Polymer Interface Interactions in Polypropylene-Based Composites via Several Compatibilizers

ARSLAN,

TAYFUN,

DOĞAN

2023

Hittite Journal of Science and Engineering

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show abstract

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Some Approaches for Solving Multiplicative Second-Order Linear Differential Equations with Variable Exponentials and Multiplicative Airy’s Equation

Cited by 1 publication

References 32 publications

Examination Of Perlite-Polymer Interface Interactions in Polypropylene-Based Composites via Several Compatibilizers

Examination Of Perlite-Polymer Interface Interactions in Polypropylene-Based Composites via Several Compatibilizers

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