Article detail · 2023
Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative
- Year
- 2023
- DOI
- 10.1002/mma.7582
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Mathematical Methods in the Applied Sciences
- Catalog match (ISSN) Mathematical Methods in the Applied Sciences
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
The main purpose of this paper is to conduct a complete study on analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative. To this end, the governing model, which is about the cooling of a lumped system with a variable specific heat, is considered, and its analytical and numerical solutions are obtained through adopting a group of well‐designed techniques such as the homotopy analysis method, the operational collocation method based on Jacobi polynomials, and the finite difference method. To show the effectiveness of the schemes, comparisons are given in two‐dimensional postures demonstrating an agreement between analytical and numerical solutions. In the end, the effect of the parameter α on the dynamical features of the obtained solutions is investigated graphically.
Topics
Citations
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29 citations
OpenAlex cited_by_count (cache / database)
6 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
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