In this article, descriptions of partial fractional derivatives in the sense of Riemann-Liouville and Caputo, brief descriptions of the literature describing a number of methods for obtaining approximate solutions to fractional partial differential equations are given. An algorithm for the numerical solution of a non-homogeneous Caputo fractional diffusion equation by the finite difference method based on implicit calculation schemes is described. Based on the calculation algorithm, the software was designed using the object-oriented design method. The project is developed in the form of one main class. The class project is represented in a special diagram. Using the software developed on the basis of the project, a numerical solution for the special case of the fractional diffusion equation in the sense of Caputo was created. In a three-dimensional coordinate system, a set of numerical solutions is represented in a three-dimensional graphic form.
| Mualliflar | Karimov, M.M., Yaxshiboyev, M.U. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2023-12-26 |
| Jild | 6 |
| Son | 4 |
| Betlar | 29-35 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v6i4.130 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v6i4.130 · Maqolaning asl sahifasi
Caputo-type derivative, Caputo-type fractional time diffusion equation, central finite difference scheme, Kaputo ma’nosidagi hosila, Kaputo ma’nosidagi vaqt boʻyicha kasr tartibli diffuziya tenglamasi, markaziy chekli ayirmali sxema
| APA | Karimov, M.M., & Yaxshiboyev, M.U. (2023). Creation of Software for Numerical Solution of Fractional Diffusion Equation. Рақамли технологияларнинг назарий ва амалий масалалари, 6(4), 29-35. https://doi.org/10.62132/ijdt.v6i4.130 |
|---|---|
| GOST (OAK) | Karimov, M.M., Yaxshiboyev, M.U. Creation of Software for Numerical Solution of Fractional Diffusion Equation // Рақамли технологияларнинг назарий ва амалий масалалари. – 2023. – T. 6, № 4. – P. 29-35. – DOI: 10.62132/ijdt.v6i4.130. |
| MLA | Karimov, M.M., and Yaxshiboyev, M.U. “Creation of Software for Numerical Solution of Fractional Diffusion Equation.” Рақамли технологияларнинг назарий ва амалий масалалари, 6(4), 29-35, 2023. https://doi.org/10.62132/ijdt.v6i4.130 |
| Chicago | Karimov, M.M., and Yaxshiboyev, M.U. “Creation of Software for Numerical Solution of Fractional Diffusion Equation.” Рақамли технологияларнинг назарий ва амалий масалалари, 6(4), 29-35 (2023). https://doi.org/10.62132/ijdt.v6i4.130 |
| Harvard | Karimov, M.M., and Yaxshiboyev, M.U (2023) ‘Creation of Software for Numerical Solution of Fractional Diffusion Equation’, Рақамли технологияларнинг назарий ва амалий масалалари, 6(4), 29-35. https://doi.org/10.62132/ijdt.v6i4.130 |
| BibTeX | @article{karimovmm2023,
title = {Creation of Software for Numerical Solution of Fractional Diffusion Equation},
author = {Karimov, M.M. and Yaxshiboyev, M.U.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2023},
volume = {6},
number = {4},
pages = {29-35},
doi = {10.62132/ijdt.v6i4.130},
url = {https://doi.org/10.62132/ijdt.v6i4.130}
} |
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