On the boundary-value problem for a mixed-type equation: Asymptotic analysis and an effective numerical algorithm

Autor:	T. O. Kapustina
Rok vydání:	2017
Předmět:	Human-Computer Interaction Computational Mathematics Elliptic operator Asymptotic analysis Control and Optimization Factorization Numerical analysis Mathematical analysis Asymptotology Boundary (topology) Boundary value problem Algorithm Mathematics
Zdroj:	Moscow University Computational Mathematics and Cybernetics. 41:157-164
ISSN:	1934-8428 0278-6419
Popis:	A singularly perturbed boundary-value problem for an equation of mixed ellipticparabolic type is considered. The first part of this work is devoted to an asymptotic study of the solution to the problem. Modification of the boundary function method for mixed-type equations with small parameters at the highest derivatives is used. The second part is devoted to creating a numerical method that considers the structure of the solution for small parameter values. The idea of an approximate factorization of an elliptic operator into the product of two parabolic operators is employed. An effective numerical algorithm based on an asymptotic representation of the solution is developed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2a2827a4b82c8a0766bf12a39ba9b540 https://doi.org/10.3103/s0278641917040057 Zobrazit plný text záznamu Full text from SpringerLink