Heat polynomials method for solving Stefan problem
| dc.contributor.author | Orynbassarova A. | |
| dc.date.accessioned | 2025-06-09T06:24:09Z | |
| dc.date.available | 2025-06-09T06:24:09Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | This study explores the efficacy of the HPM in solving the Stefan problem, a critical mathematical model for heat conduction during phase transitions. By employing heat polynomials, this method provides a structured framework for accurately approximating temperature distributions, particularly when faced with moving boundaries inherent in phase-change phenomena. Theoretical foundations unravel the mathematical intricacies of the method, emphasizing its adaptability to handle dynamic phase interfaces. Utilizing the basic heat equation and incorporating a moving boundary, the HPM offers a systematic series representation for temperature fields. Key coefficients are efficiently determined through the Galerkin method, ensuring computational effectiveness. Demonstrating its versatility, the method is applied to practical scenarios through diverse case studies, showcasing its applicability in industrial and environmental contexts. Comparative analysis with traditional numerical approaches highlights the HPM’s unique advantages, positioning it as a promising tool for enhanced accuracy and efficiency in thermal modeling. This study contributes to the evolving landscape of phasechange research, offering valuable insights and practical solutions. | |
| dc.identifier.citation | Orynbassarova A / Heat polynomials method for solving Stefan problem / Faculty of Engineering and Natural Science / 7M05401 - 2024 | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/1745 | |
| dc.language.iso | en | |
| dc.publisher | Faculty of Engineering and Natural Science | |
| dc.title | Heat polynomials method for solving Stefan problem | |
| dc.type | Thesis |