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 |
| Nashr sanasi | 2023-12-26 |
| Jild | 6 |
| Son | 4 |
| Betlar | 29-35 |
| Til | Rus |
| DOI | 10.62132/ijdt.v6i4.130 |
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
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