A simple approach to the particular solution of constant coefficient ordinary differential equations

Manuel D. Ortigueira

doi:10.1016/j.amc.2014.01.036

A simple approach to the particular solution of constant coefficient ordinary differential equations

Manuel D. Ortigueira

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

An eigenfunction approach to compute the particular solution of constant coefficient ordinary differential equations is presented. It is shown that the exponentials are the eigenfunctions of such equations. Solutions corresponding to products of powers and exponentials are obtained. The singular case is studied and a fast algorithm for its implementation is presented.

Original language	English
Pages (from-to)	254-260
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	232
DOIs	https://doi.org/10.1016/j.amc.2014.01.036
Publication status	Published - 12 Apr 2014

Keywords

Constant coefficient
Eigenfunction
Ordinary differential equations
Particular solution
Transfer function

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10.1016/j.amc.2014.01.036

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title = "A simple approach to the particular solution of constant coefficient ordinary differential equations",

abstract = "An eigenfunction approach to compute the particular solution of constant coefficient ordinary differential equations is presented. It is shown that the exponentials are the eigenfunctions of such equations. Solutions corresponding to products of powers and exponentials are obtained. The singular case is studied and a fast algorithm for its implementation is presented.",

keywords = "Constant coefficient, Eigenfunction, Ordinary differential equations, Particular solution, Transfer function",

author = "Ortigueira, {Manuel D.}",

note = "This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal.",

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AU - Ortigueira, Manuel D.

N1 - This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal.

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Y1 - 2014/4/12

N2 - An eigenfunction approach to compute the particular solution of constant coefficient ordinary differential equations is presented. It is shown that the exponentials are the eigenfunctions of such equations. Solutions corresponding to products of powers and exponentials are obtained. The singular case is studied and a fast algorithm for its implementation is presented.

AB - An eigenfunction approach to compute the particular solution of constant coefficient ordinary differential equations is presented. It is shown that the exponentials are the eigenfunctions of such equations. Solutions corresponding to products of powers and exponentials are obtained. The singular case is studied and a fast algorithm for its implementation is presented.

KW - Constant coefficient

KW - Eigenfunction

KW - Ordinary differential equations

KW - Particular solution

KW - Transfer function

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DO - 10.1016/j.amc.2014.01.036

M3 - Article

AN - SCOPUS:84893857831

SN - 0096-3003

VL - 232

SP - 254

EP - 260

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

A simple approach to the particular solution of constant coefficient ordinary differential equations

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Keywords

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