A qualitative analysis on nonconstant graininess of the adaptive grids via time scales

DOI10.1216/rmjm/1181069491zbMath1135.65030OpenAlexW1978854756MaRDI QIDQ2477813

Stefan Hilger, Paul W. Eloe, Qin Sheng

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069491

zbMATH Keywords

numerical examplesGreen's functionstime scalesfinite difference schemessecond-order ordinary differential equationsadaptive methodnonuniform griddelta and nabla derivativesnonconstant graininess

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (6)

An exploration of combined dynamic derivatives on time scales and their applications ⋮ Notes on the diamond-\(\alpha\) dynamic derivative on time scales ⋮ An operator splitting approach for two-dimensional Kawarada problems ⋮ ⋄_α-Measurability and combined measure theory on time scales ⋮ Hybrid approximations via second-order crossed dynamic derivatives with the \(\diamondsuit _\alpha \) derivative ⋮ Lebesgue-Stieltjes combined \(\Diamond_\alpha\)-measure and integral on time scales

Cites Work

• On Green's functions and positive solutions for boundary value problems on time scales
• An Application of Calculus on Measure Chains to Fourier Theory and Heisenberg's Uncertainty Principle
• Notes on Crossed Symmetry Solutions of the Two-point Boundary Value Problems on Time Scales
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