# A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics

## Abstract

We describe applications of asymptotic methods to problems of mathematical physics and mechanics, primarily, to the solution of nonlinear singularly perturbed problems in local domains. We also discuss applications of Padé approximations for transformation of asymptotic expansions to rational or quasi-fractional functions.

- Authors:

- Vyatka State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771263

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; BOUNDARY-VALUE PROBLEMS; DISTURBANCES; NONLINEAR PROBLEMS; SERIES EXPANSION

### Citation Formats

```
Shatrov, A. V., E-mail: shatrov@vyatsu.ru.
```*A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3794-0.

```
Shatrov, A. V., E-mail: shatrov@vyatsu.ru.
```*A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics*. United States. doi:10.1007/S10958-018-3794-0.

```
Shatrov, A. V., E-mail: shatrov@vyatsu.ru. Tue .
"A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics". United States. doi:10.1007/S10958-018-3794-0.
```

```
@article{osti_22771263,
```

title = {A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics},

author = {Shatrov, A. V., E-mail: shatrov@vyatsu.ru},

abstractNote = {We describe applications of asymptotic methods to problems of mathematical physics and mechanics, primarily, to the solution of nonlinear singularly perturbed problems in local domains. We also discuss applications of Padé approximations for transformation of asymptotic expansions to rational or quasi-fractional functions.},

doi = {10.1007/S10958-018-3794-0},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 5,

volume = 230,

place = {United States},

year = {2018},

month = {5}

}

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