Рақамли технологияларнинг назарий ва амалий масалалари 6-jild 4-son (2023) · 29-35-betlar
Creation of Software for Numerical Solution of Fractional Diffusion Equation
Karimov, M.M., Yaxshiboyev, M.U.
Annotatsiya
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.
Caputo-type derivativeCaputo-type fractional time diffusion equationcentral finite difference schemeKaputo ma’nosidagi hosilaKaputo ma’nosidagi vaqt boʻyicha kasr tartibli diffuziya tenglamasimarkaziy chekli ayirmali sxema
Metadata manbasi: jurnal OAI-PMH arxivi · Sindex toʻliq matnni saqlamaydi, manbaga havola beradi.