A new kernel functions based approach for solving 1-D interface problems

X.Y. Li and B.Y. Wu

Applied Mathematics and Computation, 2020, vol. 380, issue C

Abstract: In this work, a new numerical method is proposed for solving 1-D elliptic type interface problems. The methods is a combination of the multi-step reproducing kernel functions collocation techniques and the shooting method. Firstly the boundary value problems are converted to the initial value problem with interface conditions by the shooting method. Then multi-step reproducing kernel functions collocation techniques are proposed for solving the reduced linear initial value problems. Finally, some numerical example are presented to show the accuracy of this method.

Keywords: Reproducing kernel method; impulsive differential equations; 1-D elliptic interface problems (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302459

DOI: 10.1016/j.amc.2020.125276

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