Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients
Joint Authors
Otero, Josafath A.
Torba, Sergii M.
Kravchenko, Vladislav
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-14
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A complete family of solutions for the one-dimensional reaction-diffusion equation, uxx(x,t)-q(x)u(x,t)=ut(x,t), with a coefficient q depending on x is constructed.
The solutions represent the images of the heat polynomials under the action of a transmutation operator.
Their use allows one to obtain an explicit solution of the noncharacteristic Cauchy problem with sufficiently regular Cauchy data as well as to solve numerically initial boundary value problems.
In the paper, the Dirichlet boundary conditions are considered; however, the proposed method can be easily extended onto other standard boundary conditions.
The proposed numerical method is shown to reveal good accuracy.
American Psychological Association (APA)
Kravchenko, Vladislav& Otero, Josafath A.& Torba, Sergii M.. 2017. Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1123111
Modern Language Association (MLA)
Kravchenko, Vladislav…[et al.]. Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients. Advances in Mathematical Physics No. 2017 (2017), pp.1-5.
https://search.emarefa.net/detail/BIM-1123111
American Medical Association (AMA)
Kravchenko, Vladislav& Otero, Josafath A.& Torba, Sergii M.. Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1123111
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123111