Contents

Computational Mathematics and Mathematical Physics

Vol. 61, No. 12, 2021

General Numerical Methods

Application of Cubic Splines on Bakhvalov Meshes in the Case of a Boundary Layer

I. A. Blatov, A. I. Zadorin and E. V. Kitaeva p. 1911  abstract

Accuracy Estimation for a Class of Iteratively Regularized Gauss–Newton Methods with a posteriori Stopping Rule

M. M. Kokurin p. 1931  abstract

Identity for Deviations from the Exact Solution of the Problem $\Lambda {\text{*}}\mathcal{A}\Lambda u + \ell = 0$ and Its Implications

S. I. Repin p. 1943  abstract

Ordinary Differential Equations

Spectral Analysis of Small Perturbations of Geostrophic Currents with a Parabolic Vertical Profile of Velocity as Applied to the Ocean

S. L. Skorokhodov and N. P. Kuzmina p. 1966  abstract

Partial Differential Equations

Existence of Bounded Soliton Solutions in the Problem of Longitudinal Vibrations of an Infinite Elastic Rod in a Field with a Strongly Nonlinear Potential

L. A. Beklaryan and A. L. Beklaryan p. 1980  abstract

Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

Anjan Biswas, Abdullah Sonmezoglu, Mehmet Ekici, Abdul Hamid Kara, Abdullah Kamis Alzahrani and Milivoj R. Belic p. 1995  abstract

Approximate Solution of Inverse Problems for the Heat Equation with a Singular Perturbation

A. M. Denisov p. 2004  abstract

Asymptotics of the Solution to the Cauchy Problem for a Singularly Perturbed Operator Differential Transport Equation in Several Space Variables

A. V. Zaborskii, A. V. Nesterov and D. Yu. Nechaev p. 2015  abstract

Sinc–Muntz–Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations

M. Shareef Ajeel, M. Gachpazan and Ali R. Soheili p. 2024  abstract

Mathematical Physics

Two Novel Bessel Matrix Techniques to Solve the Squeezing Flow Problem between Infinite Parallel Plates

M. Izadi, Ş. Yüzbaşı and W. Adel p. 2034  abstract

Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone

V. I. Vasil’ev, M. V. Vasil’eva, D. Ya. Nikiforov, N. I. Sidnyaev, S. P. Stepanov and A. N. Tseeva p. 2054  abstract

Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications

N. N. Nefedov p. 2068  abstract

Determination of the Attenuation Coefficient for the Nonstationary Radiative Transfer Equation

I. V. Prokhorov and I. P. Yarovenko p. 2088  abstract

New Boundary Conditions for One-Dimensional Network Models of Hemodynamics

S. S. Simakov p. 2102  abstract

Sound Radiation from Non-Uniformly Lined Duct with Partial Rigidity

B. Tiryakioglu p. 2118  abstract

New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side

M. V. Urev p. 2129  abstract