Article

Optimization of difference formulas for solving differential equations in the Hilbert space

Kholmat ShadimetovTashkent State Transport University, Temiryo‘lchilar street, 1, Tashkent, 100167, UzbekistanShermamat EsanovTermez State University, Barkamol avlod street, 43, Termez, 190111, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In the numerical solution of Initial Value Problems (IVP) for ordinary differential equations, computational methods serve to approximate the determination of functions representing the solution of these problems. The problem of finding the most convenient numerical expressions for a function and its connection with methods for improving such approximations plays an important role in practical calculations. It is of great interest to consider the so-called discrete methods, i.e. methods that determine the solution for discrete values of the independent variable. Discrete methods are currently the most widely used.

Topics

Numerical methods for differential equations Differential Equations and Numerical Methods Differential Equations and Boundary Problems

Identifiers

DOI: 10.1063/5.0199940

Citations and references

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