Variational iteration method for elastodynamic Green's functions

DOI10.1016/j.na.2008.10.057zbMath1238.74006OpenAlexW2083926810MaRDI QIDQ419743

Hakan K. Akmaz

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.057

zbMATH Keywords

Green's functionvariational iteration methoddynamic system of elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (3)

Solving BVPs with shooting method and VIMHP ⋮ Convergent optimal variational iteration method and applications to heat and fluid flow problems ⋮ Constructing approximate Green's function for a vector equation for the electric field using the variational iteration method

Cites Work

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• Numerical approach to differential equations of fractional order
• A new method to obtain 3-D Green's functions for anisotropic solids
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• New applications of variational iteration method
• Numerical solution of non-linear Klein–Gordon equations by variational iteration method
• Variational iteration method for solving the space‐ and time‐fractional KdV equation
• A new approach to nonlinear partial differential equations
• Variational iteration method for autonomous ordinary differential systems

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