A fifth (six) order accurate, three-point compact finite difference scheme for the numerical solution of sixth order boundary value problems on geometric meshes

DOI10.1007/s10915-014-9947-5zbMath1326.65093OpenAlexW2087908639MaRDI QIDQ887016

Navnit Jha, Lesław K. Bieniasz

Publication date: 27 October 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9947-5

zbMATH Keywords

convergencefinite difference approximationssingularityerror boundTaylor seriescompact schemesingular problemnumerical testgeometric gridsgeneralized Numerov scheme

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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