On series solution for second order semilinear parabolic IBVPs

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:330

Article

Aryana, S.¹  Furtado, F.²  Ginting, V.²  Torsu, P.³ 

[1] Univ Wyoming, Dept Chem Engn, Laramie, WY 82071 USA

[2] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

[3] Calif State Univ, Dept Math, Bakersfield, CA 93311 USA

关键词: Adomian decomposition;    Fourier series;    Burgers equation;    KPZ equation;   

DOI  :  10.1016/j.cam.2017.08.024

来源: Elsevier

【 摘 要 】

This paper presents a method to obtain semi-analytical solutions to second order semilinear IBVPs where the standard Adomian decomposition may fail to yield nontrivial solutions or fail to produce the correct partial solutions. In contrast to the standard Adomian decomposition method, the proposed solution method is distinguished by simultaneous inversion of the linear differential operators using eigenfunctions expansion representations. The proposed method is applied to several examples of initial boundary value problems a linear Advection-Diffusion problem, a Burgers equation and the deterministic KardarParisi-Zhang (KPZ) equation. It is shown that the dependence of the series solution on the truncation order (N), the number of eigenfunctions (M) and the diffusion coefficient is rather complex. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free