Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations

DOI10.1016/j.camwa.2015.07.018zbMath1443.35028arXiv1412.8756OpenAlexW2301825533MaRDI QIDQ2006469

Zdeněk Šmarda, Josef Rebenda

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8756

zbMATH Keywords

convergence analysisiterative schemeinitial value problemerror estimatepartial differential equationBanach fixed-point theorem

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (1)

Choice of an initial guess for Newton's method to solve nonlinear differential equations

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