Contents

Computational Mathematics and Mathematical Physics

Vol. 65, No. 9, 2025

GENERAL NUMERICAL METHODS

Difference Schemes Based on Exponentially Converging Quadratures for the Cauchy Integral

A. A. Belov, V. S. Khokhlacev, and Zh. O. Dombrovskaya p. 2053  abstract

On the 2D Hybrid Hyperchaotic Modified Lemniscate (2D-HHML) Map

J. Jackson and R. Perumal p. 2063  abstract

The Fibonacci and Lucas Generalized Quaternionic Sequences Over \(\mathcal{H}\mathcal{G}\mathcal{C}\) Numbers

G. Y. Saçlı and N. Gürses p. 2074  abstract

GENERAL NUMERICAL METHODS

Recurrence Relations for Degenerate Bell and Dowling Polynomials via Boson Operators

Taekyun Kim and Dae San Kim p. 2087  abstract

OPTIMAL CONTROL

A Linearized Time-Adaptive Second-Order Backward Difference Scheme for the Fisher Equation and Its Optimal Error Estimates

Jin-ge Zhu and Guang-hua Gao p. 2097  abstract

Mathematical Modeling and Optimal Control of Dengue Virus Infection Dynamics

M. Prakash Raj, A. Venkatesh, K. Arun Kumar, and M. Manivel p. 2111  abstract

ORDINARY DIFFERENTIAL EQUATION

Reduced Hahn Differential Transform Method

M. A. Chirko and F. Hıra p. 2127  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Principles of Dualism in the Theory of Solutions to Infinite-Dimensional Differential Equations Depending on Existing Types of Symmetries

L. A. Beklaryan and A. L. Beklaryan p. 2140  abstract

Convergence of Eigenelements of a Steklov-Type Boundary Value Problem for the Lamé Operator in a Half-Cylinder with a Small Cavity

D. B. Davletov, O. B. Davletov, R. R. Davletova, and A. A. Ershov p. 2166  abstract

On the Existence and Uniqueness of the Solution of an Integro-Differential Equation in the Problem of Diffraction of an Electromagnetic Wave by a Graphene-Coated Inhomogeneous Dielectric Body

Yu. G. Smirnov p. 2178  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Nonlinear Periodic Solutions and Chaotic Dynamics of a Duffing-Type Model with an Hyperbolic Double-Well Potential

Alain M. Dikandé p. 2185  abstract

MATHEMATICAL PHYSICS

High-Accuracy Difference Boundary Conditions for Bicompact Schemes with Splitting over Transport Processes

M. D. Bragin p. 2197  abstract

MATHEMATICAL PHYSICS

Analysis of Perturbation Coefficients in the Problem of Filtering Nonlinear Distortions in Fiber Optics

I. A. Kosolapov, T. O. Sheloput, R. R. Dyachenko, N. L. Zamarashkin, and D. A. Zheltkov p. 2212  abstract

MATHEMATICAL PHYSICS

Determination of Reflection and Transmission Operators for a Plane-Parallel Medium

M. G. Muradyan p. 2226  abstract

MATHEMATICAL PHYSICS

Note on the Application of the Characteristic Function to Calculation of Moments of Inertia of a Rigid Body

V. I. Nikonov p. 2230  abstract

A Parameterized Block Splitting Iteration Method for Double Saddle Point Problems Arising from Liquid Crystal Director Modeling

Jun Li, Lingsheng Meng, and Xiangtuan Xiong p. 2235  abstract

INFORMATION SCIENCE

Numerical-Analytical Method for Estimating Signal Parameters on a Set of Alternative Grids under Uncertainty

Yu. G. Bulychev p. 2245  abstract

INFORMATION SCIENCE

Separable Physics-Informed Neural Networks for Solving Elasticity Problems

V. A. Es’kin, D. V. Davydov, J. V. Gur’eva, A. O. Malkhanov, and M. E. Smorkalov p. 2260  abstract

INFORMATION SCIENCE

A Decomposition Approach on the Base of Brownian Iteration for the Linear Programming Where All Basis Matrices Are M-Matrix

R. H. Hamidov, M. M. Mutallimov, and Fikret A. Aliev p. 2276  abstract