Variable-coefficient BDF methods with fully-geometric grid for linear nonhomogeneous neutral pantograph equations

Zhixiang Jin and Chengjian Zhang

Applied Mathematics and Computation, 2025, vol. 499, issue C

Abstract: This paper deals with numerical computation and analysis for the initial value problems (IVPs) of linear nonhomogeneous neutral pantograph equations. For solving this kind of IVPs, a class of extended k-step variable-coefficient backward differentiation formula (BDF) methods with fully-geometric grid are constructed. It is proved under the suitable conditions that an extended k-step variable-coefficient BDF method can arrive at k-order accuracy and is asymptotically stable. With a series of numerical experiments, the computational effectiveness and theoretical results of the presented methods are further confirmed.

Keywords: Linear nonhomogeneous neutral pantograph equations; Variable-coefficient BDF methods; Fully-geometric grid; Error analysis; Asymptotical stability (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:499:y:2025:i:c:s0096300325001390

DOI: 10.1016/j.amc.2025.129412

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