Work

On the approximation of particular solution of nonhomogeneous linear differential equation with Legendre series

Year: 2016

Type: article

Abstract: In this study, we propose an approximation method for particular solutions of the nonhomogeneous second-order differential equations by truncated Legendre series.Particulary, the govern problem is a linear differential equation with constant coefficients.The choice of series solutions depends upon the complementary solutions and the approximate nonhomogeneous terms.An upper bound for the approximation error is formulated.Some examples are presented to demonstrate the validity of the proposed method.

Source: Journal of Applied Science

DOI: 10.14416/j.appsci.2016.08.001

Authors: Nichaphat Patanarapeelert, Klot Patanarapeelert

Institutions: King Mongkut's University of Technology North Bangkok, Silpakorn University

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2593679985

FWCI:

Cites: 7

Cited by:

Related to: 9