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On the computation of rational solutions of linear integro-differential equations with polynomial coefficients.
- Source :
-
Journal of Symbolic Computation . Mar2024, Vol. 121, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- We develop the first algorithm for computing rational solutions of scalar integro-differential equations with polynomial coefficients. It starts by finding the possible poles of a rational solution. Then, bounding the order of each pole and solving an algebraic linear system, we compute the singular part of rational solutions at each possible pole. Finally, using partial fraction decomposition, the polynomial part of rational solutions is obtained by computing polynomial solutions of a non-homogeneous scalar integro-differential equation with a polynomial right-hand side. The paper is illustrated by examples where the computations are done with our Maple implementation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR equations
*POLYNOMIALS
*INTEGRO-differential equations
*LINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 07477171
- Volume :
- 121
- Database :
- Academic Search Index
- Journal :
- Journal of Symbolic Computation
- Publication Type :
- Academic Journal
- Accession number :
- 171393612
- Full Text :
- https://doi.org/10.1016/j.jsc.2023.102252