Applications of general residual power series method to differential equations with variable coefficients
type: Item
instance of: scholarly article
title: Applications of general residual power series method to differential equations with variable coefficients
zbMATH Open document ID: 1417.35219
DOI: 10.1155/2018/2394735
author: Xianqiang Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations with variable coefficients, including nonhomogeneous parabolic equations, fractional heat equations in 2D, and fractional wave equations in 3D. These applications show that residual power series method is a simple, effective, and powerful method for seeking analytical series solutions of differential equations (especially for fractional differential equations) with variable coefficients.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 7026526
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2394735
OpenAlex ID: W2853586086
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Wikidata QID: Q129544590
description: scientific article; zbMATH DE number 7026526