Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present a general method of operational nature to analyze and obtain solutions for a variety of equations of mathematical physics and related mathematical problems.
We construct inverse differential operators and produce operational identities, involving inverse derivatives and families of generalised orthogonal polynomials, such as Hermite and Laguerre polynomial families.
We develop the methodology of inverse and exponential operators, employing them for the study of partial differential equations.
Advantages of the operational technique, combined with the use of integral transforms, generating functions with exponentials and their integrals, for solving a wide class of partial derivative equations, related to heat, wave, and transport problems, are demonstrated.
American Psychological Association (APA)
Zhukovsky, K.. 2014. Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049671
Modern Language Association (MLA)
Zhukovsky, K.. Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1049671
American Medical Association (AMA)
Zhukovsky, K.. Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049671
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049671