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Journal ArticleDOI

A New Method for Determining A Series Solution of Linear Differential Equations with Constant or Variable Coefficients

W. O. Pennell
- 01 Jun 1926 - 
- Vol. 33, Iss: 6, pp 293-307
TLDR
In this article, a new method for determining a series solution of linear differential equations with constant or variable coefficients was proposed, based on the series solution with constant and variable coefficients (SVC) method.
Abstract
(1926). A New Method for Determining A Series Solution of Linear Differential Equations with Constant or Variable Coefficients. The American Mathematical Monthly: Vol. 33, No. 6, pp. 293-307.

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Proceedings ArticleDOI

Fast computation of power series solutions of systems of differential equations

TL;DR: In this article, the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary point are computed using a number of arithmetic operations that is quasi-linear with respect to N.
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Fast computation of power series solutions of systems of differential equations

TL;DR: Algorithm for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary point is proposed, using a number of arithmetic operations that is quasi-linear with respect to N.