Direct Algebraic Solution for Linear Differential Equations Using PL Transform
Summary :
A new direct algebraic algorithm is developed for the numerical solution of linear differential equations. The differential equations are solved via PL transform by means of an integral operator without iterative calculations. The use of PL transform paves the way, with the aid of symbolic and algebraic manipulation system such as REDUCE for instance, for a simple direct solution for boundary value problems as well as initial value problems of linear differential equations. Examples show that the accuracy of solution is excellent considering the limited length of the PL transform that is used.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E72-E No.11 pp.1185-1190
- Publication Date
- 1989/11/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Numerical Calculation and Mathematical Programming
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Kazuo NOHARA, "Direct Algebraic Solution for Linear Differential Equations Using PL Transform" in IEICE TRANSACTIONS on transactions,
vol. E72-E, no. 11, pp. 1185-1190, November 1989, doi: .
Abstract: A new direct algebraic algorithm is developed for the numerical solution of linear differential equations. The differential equations are solved via PL transform by means of an integral operator without iterative calculations. The use of PL transform paves the way, with the aid of symbolic and algebraic manipulation system such as REDUCE for instance, for a simple direct solution for boundary value problems as well as initial value problems of linear differential equations. Examples show that the accuracy of solution is excellent considering the limited length of the PL transform that is used.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_11_1185/_p
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@ARTICLE{e72-e_11_1185,
author={Kazuo NOHARA, },
journal={IEICE TRANSACTIONS on transactions},
title={Direct Algebraic Solution for Linear Differential Equations Using PL Transform},
year={1989},
volume={E72-E},
number={11},
pages={1185-1190},
abstract={A new direct algebraic algorithm is developed for the numerical solution of linear differential equations. The differential equations are solved via PL transform by means of an integral operator without iterative calculations. The use of PL transform paves the way, with the aid of symbolic and algebraic manipulation system such as REDUCE for instance, for a simple direct solution for boundary value problems as well as initial value problems of linear differential equations. Examples show that the accuracy of solution is excellent considering the limited length of the PL transform that is used.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Direct Algebraic Solution for Linear Differential Equations Using PL Transform
T2 - IEICE TRANSACTIONS on transactions
SP - 1185
EP - 1190
AU - Kazuo NOHARA
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1989
AB - A new direct algebraic algorithm is developed for the numerical solution of linear differential equations. The differential equations are solved via PL transform by means of an integral operator without iterative calculations. The use of PL transform paves the way, with the aid of symbolic and algebraic manipulation system such as REDUCE for instance, for a simple direct solution for boundary value problems as well as initial value problems of linear differential equations. Examples show that the accuracy of solution is excellent considering the limited length of the PL transform that is used.
ER -
English
