A numerical investigation of the buckling of doubly clamped nano-actuators governed by an integro-differential equation

DOI10.1007/s10958-022-05886-wWikidataQ113901077 ScholiaQ113901077MaRDI QIDQ6147816

Khuri, Suheil A., Youssef Abdelrahman, Issam Louhichi

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Bratu's problem: a novel approach using fixed-point iterations and Green's functions
• A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM-Padé technique
• A novel fixed point scheme: proper setting of variational iteration method for BVPs
• A novel Ishikawa-Green's fixed point scheme for the solution of BVPs
• A novel fixed point iteration method for the solution of third order boundary value problems
• A new analytic solution for buckling of doubly clamped nano-actuators with integro differential governing equation using Duan-Rach Adomian decomposition method
• Variational iteration method: Green's functions and fixed point iterations perspective
• On the Adomian decomposition method for solving the Stefan problem
• New approximate solutions of the Blasius equation
• MODELING THE EFFECT OF VAN DER WAALS ATTRACTION ON THE INSTABILITY OF ELECTROSTATIC CANTILEVER AND DOUBLY-SUPPORTED NANO-BEAMS USING MODIFIED ADOMIAN METHOD
• Influence of surface effects on size-dependent instability of nano-actuators in the presence of quantum vacuum fluctuations

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