This article constructs a numerical solution for a nonlinear diffusion equation with a time-fractional derivative. The considered problem is posed on a semi-infinite domain, where the diffusion coefficient is expressed through a power function of the solution. The boundary condition of the problem also has a nonlinear form. The time-fractional derivative is discretized by an L1-type fractional difference approximation, while the spatial operator is discretized by the finite difference method in conservative form. The nonlinear diffusion coefficient is taken from the previous time layer, leading to a semi-implicit scheme. As a result, a tridiagonal system of linear algebraic equations is obtained at each time layer. This approach simplifies the computational process, improves stability, and provides a convenient framework for practical implementation.
| Mualliflar | Nigora Abdumurotovna, Xolmurzayeva |
|---|---|
| Jurnal | Innovative Multidisciplinary Journal of Applied Technology |
| Nashriyot | ТДТУ Қўқон филиали |
| ISSN | 2995-486X, 2995-486x |
| Nashr sanasi | 2026-04-28 |
| Jild | 4 |
| Son | 4 |
| Betlar | 179-187 |
| Til | Ingliz |
| DOI | 10.51699/bvtfbp52 |
| Indeksga qo‘shilgan | 2026-10-18 |
DOI: 10.51699/bvtfbp52 · Maqolaning asl sahifasi
: fractional derivative, Caputo derivative, L1 scheme, nonlinear diffusion, semi-implicit scheme
| APA | Nigora Abdumurotovna, Xolmurzayeva (2026). Numerical Solution of a Nonlinear Fractional Diffusion Problem. Innovative Multidisciplinary Journal of Applied Technology, 4(4), 179-187. https://doi.org/10.51699/bvtfbp52 |
|---|---|
| GOST (OAK) | Nigora Abdumurotovna, Xolmurzayeva Numerical Solution of a Nonlinear Fractional Diffusion Problem // Innovative Multidisciplinary Journal of Applied Technology. – 2026. – T. 4, № 4. – P. 179-187. – DOI: 10.51699/bvtfbp52. |
| MLA | Nigora Abdumurotovna, Xolmurzayeva. “Numerical Solution of a Nonlinear Fractional Diffusion Problem.” Innovative Multidisciplinary Journal of Applied Technology, 4(4), 179-187, 2026. https://doi.org/10.51699/bvtfbp52 |
| Chicago | Nigora Abdumurotovna, Xolmurzayeva. “Numerical Solution of a Nonlinear Fractional Diffusion Problem.” Innovative Multidisciplinary Journal of Applied Technology, 4(4), 179-187 (2026). https://doi.org/10.51699/bvtfbp52 |
| Harvard | Nigora Abdumurotovna, Xolmurzayeva (2026) ‘Numerical Solution of a Nonlinear Fractional Diffusion Problem’, Innovative Multidisciplinary Journal of Applied Technology, 4(4), 179-187. https://doi.org/10.51699/bvtfbp52 |
| BibTeX | @article{nigoraabdumurotovnaxolmurzayeva2026,
title = {Numerical Solution of a Nonlinear Fractional Diffusion Problem},
author = {Nigora Abdumurotovna, Xolmurzayeva},
journal = {Innovative Multidisciplinary Journal of Applied Technology},
year = {2026},
volume = {4},
number = {4},
pages = {179-187},
doi = {10.51699/bvtfbp52},
url = {https://doi.org/10.51699/bvtfbp52}
} |
Boshqa maqola uchun iqtibos tayyorlash
The physico-chemical, textural, mechanical and operational properties of catalysts prepared from local mineral raw materials Oltintog’ and Angren kaolins, various grades of Navbahor bentonite, and Karmana opaque…
This study investigates the morphological features, obtained by scanning electron microscopy (SEM), of individual activated carbons prepared from agricultural and fruit-processing wastes apricot stone shells, walnut…
This article mathematically analyzes the R parametric multiplication operation introduced in the national standard of the Republic of Uzbekistan O'zMSt 286:2024 "Processes of generating and verifying electronic digital…
This article investigates the implementation of a quality management system based on lean production principles and the assessment of its effectiveness. The study analyzes approaches aimed at reducing losses in…
This paper investigates a mechatronic control algorithm aimed at improving the operational efficiency and optimizing the energy consumption of a passenger car cooling system fan. The negative impacts of the conventional…
The controllability and stability of self-propelled energy vehicles are key parameters that determine their effectiveness in agricultural production and safety during transportation work. This work examines the course…
Strategic Management Information Systems (SMIS) have emerged as critical tools for enhancing organizational resilience in an increasingly dynamic, technology-driven, and uncertain business environment. This study…
This article discusses the importance of consumer-oriented design strategies in the development of modern light industry products. The study analyzes the main factors influencing the creation of competitive products…
The rapid growth of urbanization, motorization, and transportation demand has significantly increased the complexity of traffic management in modern cities. Accurate forecasting of road traffic capacity has therefore…
Background: Energy grids and healthcare systems and financial networks and transportation systems more vulnerable to sophisticated cyber threats. The signature-based detection systems which rule-based cybersecurity…
Innovative Multidisciplinary Journal of Applied Technology — barcha maqolalar · 2026-yil arxivi