Contents

Computational Mathematics and Mathematical Physics

Vol. 65, No. 4, 2025

GENERAL NUMERICAL METHODS

Approximation of Function and Its Derivative from the Hölder–Lipschitz Class by Their Fourier Coefficients for the Harmonically Modulated Argument

N. D. Kuz’michev p. 663  abstract

On Higher-Order Gaussian Fibonacci Quaternions and Their Properties

Can Kızılateş, and Samson Tiankum Yachani p. 674  abstract

GENERAL NUMERICAL METHODS

Approximation of Functions Defined in Tabular Form. II

A. P. Nelyubin, and V. V. Podinovski p. 689  abstract

ORDINARY DIFFERENTIAL EQUATION

Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay

H. Acar, I. Amirali, M. E. Durmaz, and G. M. Amiraliyev p. 698  abstract

ORDINARY DIFFERENTIAL EQUATION

An Efficient Computational Algorithm for a Class of Two Parameter Nonlinear Singular Perturbation Problems with Cauchy Data

Manikandan Mariappan p. 711  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Algorithms for Localization of Scattering Inhomogeneities Using Incomplete Multibeam Ultrasonic Sounding Data

P. A. Vornovskikh, and I. V. Prokhorov p. 727  abstract

The Maupertuis–Jacobi Principle and the Fermat Variational Principle in the Problem of Short-Wavelength Asymptotics of the Solution of the Helmholtz Equation with a Localized Source

S. Yu. Dobrokhotov, I. A. Nosikov, and A. A. Tolchennikov p. 739  abstract

PARTIAL DIFFERENTIAL EQUATIONS

First Boundary Value Problem for the Heat Equation in Domains Degenerate with Respect to Time

A. N. Konenkov p. 754  abstract

On Blow-Up of Solutions to Cauchy Problems for Nonlinear Ferrite Equations in (N + 1)-Dimensional Case

M. O. Korpusov, and V. M. Ozornin p. 765  abstract

Gaps in the Spectrum of a Periodic Family of Bodies Connected by Thin Elastic Rods

S. A. Nazarov p. 790  abstract

Choice of an Algorithm for Broadband Monitoring of the Optical Coating Deposition Process Taking into Account the Effect of Error Self-Compensation

A. N. Sharov, A. V. Tikhonravov, S. A. Sharapova, and A. G. Yagola p. 812  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Analytical Study on the Generalized q-Deformed Sinh–Gordon (Eleuch) Equation

Ulviye Demirbilek p. 825  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Study on the Definite Solution Problems for Systems of Partial Differential Equations under Elastic External Boundary Condition of Polynomial Function Type and Application in Composite Reservoir

Xiaoxu Dong, Ying Liang, Yu Wang, Yu Peng, and Zheng Zeng p. 840  abstract

MATHEMATICAL PHYSICS

Bicompact Schemes on Locally Adaptive Cartesian Grids for the Convection–Diffusion Equation

M. D. Bragin p. 857  abstract

Effect of Temperature Modulation on Rotating Magnetoconvection

Hiya Mondal p. 878  abstract

MATHEMATICAL PHYSICS

Numerical Analysis of Drift-Dissipative Instability in the Region of Equatorial Plasma Bubbles for Different Geophysical Conditions

N. M. Kashchenko, S. A. Ishanov, E. V. Zubkov, and G. V. Kvitko p. 892  abstract

Fifth-Order Finite-Difference Scheme in Space with Increased Accuracy in Shock Influence Areas

V. A. Kolotilov, V. V. Ostapenko, and N. A. Khandeeva p. 901  abstract

INFORMATION SCIENCE

Dynamic Self-Organization in Neuron Systems

S. D. Glyzin, A. Yu. Kolesov, and D. D. Fedulov p. 917  abstract

INFORMATION SCIENCE

Identification of Split Factors in Pedestrian Flows Modeling

M. V. Zaitseva, and P. A. Tochilin p. 935  abstract