Hyers-Ulam stability of a second-order finite difference scheme using a diamond-\(\alpha\) difference operator

DOI10.1007/s12346-023-00927-4MaRDI QIDQ6181182

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Publication date: 22 January 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

stability regionsdiamond-\(\alpha\) derivativebest stability constantcentered-difference operator

Mathematics Subject Classification ID

Difference operators (39A70) Stability theory for difference equations (39A30)

Cites Work

• Remarks on stability of linear recurrence of higher order
• An exploration of combined dynamic derivatives on time scales and their applications
• Notes on the diamond-\(\alpha\) dynamic derivative on time scales
• Ulam-Hyers stability of second-order convergent finite difference scheme for first- and second-order nonhomogeneous linear differential equations with constant coefficients
• Novel diamond alpha Bennett-Leindler type dynamic inequalities and their applications
• On the best Ulam constant of a higher order linear difference equation
• On Ulam stability of a linear difference equation in Banach spaces
• Ulam stability of operators
• Hyers-Ulam stability of the linear recurrence with constant coefficients
• Equilibrium stability for the discrete diamond-alpha operator
• On the Stability of the Linear Mapping in Banach Spaces
• Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations
• Hyers–Ulam Stability of a Discrete Diamond-Alpha Derivative Equation
• Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications

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