Contents

Computational Mathematics and Mathematical Physics

Vol. 65, No. 2, 2025

GENERAL NUMERICAL METHODS

Derivation of Lower Error Bounds for the Bilinear Element Method with a Weight for the One-Dimensional Wave Equation

A. A. Zlotnik p. 213  abstract

Spectral Methods of Polynomial Interpolation and Approximation

V. P. Varin p. 224  abstract

GENERAL NUMERICAL METHODS

A Computational Scheme for 1D Time-Dependent Singularly Perturbed Parabolic Differential-Difference Equations

E. Siva Prasad, and K. Phaneendra p. 236  abstract

GENERAL NUMERICAL METHODS

Fitted Operator Methods for Singularly Perturbed Differential-Difference Equations via Splines

K. Vivek, and R. Nageshwar Rao p. 252  abstract

ORDINARY DIFFERENTIAL EQUATION

New Technique for Solving System of Variable-Order Fractional Partial Integro Differential Equations

Yaser Rostami p. 270  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Quadrature Method for Solving the Boundary Integral Equations of Elastic Wave Scattering Problems

H. Guo, J. Huang, H. Li, and Z. X. Li p. 290  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Local Discontinuous Galerkin Method for the Variable-Order Fractional Mobile-Immobile Advection-Dispersion Equation

Miaomiao Yang, Lijie Liu, and Leilei Wei p. 308  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Asymptotic Stability and Approximate Solutions to Quadratic Functional Integral Equations Containing ψ-Riemann–Liouville Fractional Integral Operator

Supriya Kumar Paul, and Lakshmi Narayan Mishra p. 320  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Chebyshev Spectral Method for One Class of Singular Integro-Differential Equations

G. A. Rasolko, and V. M. Volkov p. 339  abstract

MATHEMATICAL PHYSICS

Capabilities of Sounding at a Finite Set of Frequencies

A. S. Barashkov p. 349  abstract

Investigation of Nondissipative Discontinuity Structures for Equations of Micropolar Magnetoelastic Medium and Development of a General Approach to the Numerical Solution of Evolutionary Partial Differential Equations

I. B. Bakholdin p. 359  abstract

Exact Solution of a Bicompact Difference Scheme for Maxwell’s Equations

A. A. Belov, and Zh. O. Dombrovskaya p. 372  abstract

MATHEMATICAL PHYSICS

Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature

B. V. Semisalov, I. A. Bugoets, L. I. Kutkin, and V. P. Shapeev p. 383  abstract

Grid-Characteristic Method Combined with Discontinuous Galerkin Method for Simulation of Wave Propagation through Linear Elastic Media in the Three-Dimensional Case

A. V. Favorskaya, I. B. Petrov, and A. A. Kozhemyachenko p. 403  abstract

INFORMATION SCIENCE

Sample Size Determination: Likelihood Bootstrapping

N. S. Kiselev, and A. V. Grabovoy p. 416  abstract

Dynamical Analysis of Fractional Order Generalized Logistic Map

Sachin Bhalekar, Janardhan Chevala, and Prashant M. Gade p. 424  abstract