Andrei D. Polyanin

发表

Nonlinear delay reaction-diffusion equations with varying transfer coefficients: Exact methods and new solutions

Andrei D. Polyanin, Alexei I. Zhurov, A. Polyanin, 2014, Appl. Math. Lett..

RAYLEIGH-LOVE MODEL OF LONGITUDINAL VIBRATIONS OF CONICAL AND EXPONENTIAL RODS: EXACT SOLUTIONS AND NUMERICAL SIMULATION BY THE METHOD OF LINES

Andrei D. Polyanin, Michael Y. Shatalov, W Schiesser, 2011 .

Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients

Andrei D. Polyanin, A. Polyanin, 2019, Appl. Math. Comput..

Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations

Andrei D. Polyanin, Inna K. Shingareva, 2018, Appl. Math. Lett..

Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients

Andrei D. Polyanin, A. Polyanin, 2019, Appl. Math. Lett..

Systems of General Form

Andrei D. Polyanin, Valentin Zaitsev, 2011 .

Hypersingular nonlinear boundary-value problems with a small parameter

Andrei D. Polyanin, Inna K. Shingareva, A. Polyanin, 2018, Appl. Math. Lett..

Special Functions and Their Properties

Andrei D. Polyanin, Vladimir E. Nazaikinskii, 2006 .

Chapter 10: Methods for the Construction of Particular Solutions

Andrei D. Polyanin, Valentin Zaitsev, 2017 .

Partial differential equation

Andrei D. Polyanin, Alexei I. Zhurov, William Schiesser, 2008, Scholarpedia.

New numerical methods for blow-up problems

Andrei D. Polyanin, Inna K. Shingareva, 2017 .

Nonlinear delay reaction-diffusion equations: Traveling-wave solutions in elementary functions

Andrei D. Polyanin, V. G. Sorokin, Vsevolod G. Sorokin, 2015, Appl. Math. Lett..

Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition

Andrei D. Polyanin, Vladimir E. Nazaikinskii, A. Polyanin, 2016 .

Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics

Andrei D. Polyanin, Alexei I. Zhurov, 2016, Appl. Math. Lett..

Separation of variables in PDEs using nonlinear transformations: Applications to reaction-diffusion type equations

Andrei D. Polyanin, Alexei I. Zhurov, A. Polyanin, 2020, Appl. Math. Lett..

Supplement: Some Useful Electronic Mathematical Resources

Andrei D. Polyanin, Alexander V. Manzhirov, 2006 .

Empirical and Engineering Formulas and Criteria for Their Applicability

Andrei D. Polyanin, Alexei Chernoutsan, 2010 .

Elements of Applied and Engineering Sciences

Andrei D. Polyanin, Alexei Chernoutsan, 2010 .

Second-Order Linear PDEs: Classification, Problems, and Particular Solutions

Andrei D. Polyanin, Vladimir E. Nazaikinskii, 2016 .

Some Useful Electronic Mathematical Resources

Andrei D. Polyanin, Alexei Chernoutsan, 2010 .

New exact solutions of nonlinear wave type PDEs with delay

Andrei D. Polyanin, V G Sorokin, V. G. Sorokin, 2020, Appl. Math. Lett..

Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods

Andrei D. Polyanin, Alexei I. Zhurov, A. Polyanin, 2017, Appl. Math. Lett..

Nonlinear problems with blow-up solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints

Andrei D. Polyanin, Inna K. Shingareva, A. Polyanin, 2018, Appl. Math. Comput..