Abstract
An operator – algebraic algorithm of solution of linear partial differential equations suitable to be realized using computers is presented in this article; furthermore, examples of application are given as well.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Weil, J.-A.: Recent algorithms for Solving second – order differential equations. In: Chyzak, F. (ed.) Algorithms Seminar, 2001-2002, pp. 43–46. INRIA (2003)
Navickas, Z.: Constructive solution of the Cauchy problem for a special class of partial differential equations with constant coefficients. Lithuanian Mathematical Journal 34(4), 404–414 (1994)
Bikulčienė, L., Marcinkevičius, R., Navickas, Z.: Computer Realization of the Operator Method for Solving of Differential Equations. In: Li, Z., Vulkov, L.G., Waśniewski, J. (eds.) NAA 2004. LNCS, vol. 3401, pp. 182–189. Springer, Heidelberg (2005)
Viskov, O.V.: Operator characterization for generalized Appell polynomials. Report Akad. Nauk SSSR 225(4) (mathematics), 749–752 (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bikulčienė, L., Navickas, Z. (2009). Expressions of Solutions of Linear Partial Differential Equations Using Algebraic Operators and Algebraic Convolution. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-00464-3_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00463-6
Online ISBN: 978-3-642-00464-3
eBook Packages: Computer ScienceComputer Science (R0)