在 $$p$$ -自旋弦和物理动力学理论中出现的一些非线性积分方程的数值解

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI:10.1134/s2070046624010047

Kh. A. Khachatryan, A. Kh. Khachatryan, A. Zh. Narimanyan

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引用次数: 0

摘要

摘要本研究致力于寻找半线上两类非线性积分方程的数值解，其核取决于参数的和与差。这些方程出现在数学物理的各个领域：气体动力学理论、理论天体物理学、p-adic弦理论等。这项工作的主要成果是推导出了两个连续近似解之间差值规范的统一估计值，它对控制迭代方案的收敛性和迭代次数起着重要作用。所获得的结果已被用于确定不同应用领域模型的数值解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Numerical Solutions of some Nonlinear Integral Equations Arising in the Theory of $$p$$ -Adic Strings and Physical Kinetics

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Numerical Solutions of some Nonlinear Integral Equations Arising in the Theory of $$p$$ -Adic Strings and Physical Kinetics

Abstract

The present work is devoted to finding numerical solutions of two types of nonlinear integral equations on half line with kernels depending on the sum and difference of arguments. These equations arise in various fields of mathematical physics: kinetic theory of gases, theoretical astrophysics, p-adic string theory, etc. The main result of the work is the derivation of an uniform estimate of the norm of difference between two successive approximations of solutions, which plays an important role for the control of the convergence of iterative schemes and number of iterations. The obtained results have been applied to determine numerical solutions of models from different areas of applications.

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来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.