首页|Fully discretized methods based on boundary value methods for solving diffusion equations

Fully discretized methods based on boundary value methods for solving diffusion equations

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  • NSTL
  • Elsevier
Based on boundary value methods, we establish a kind of new fully discretized meth-ods for solving one-dimensional diffusion equations. The proposed methods are composed of a series of full discretizations with multi-time-level and multi-space-level. For the full discretizations, we give the local truncation error. Moreover, we analyze the stability of the proposed methods and obtain the corresponding error estimate. Meanwhile, we make some numerical experiments to show that the proposed methods are stable and own high accuracy. (c) 2021 Elsevier Inc. All rights reserved.

Boundary value methodDiffusion equationStabilityConvergenceDELAY-DEPENDENT STABILITYCONSISTENT INITIAL VALUESDIFFERENCE-SCHEMESMULTISTEP METHODSLINEAR MULTISTEPCONVERGENCECOMPUTATION

Jiang, Xingzhou、Xu, Yang、Zhao, Jingjun

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Harbin Inst Technol

2022

10.1016/j.amc.2021.126848

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.418
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