Solving a singular beam equation by using a weak-form integral equation method

DOI10.1016/j.aml.2016.08.010zbMath1388.74062OpenAlexW2518338876MaRDI QIDQ338954

Dongjie Liu, Wun-Sin Jhao, Chein-Shan Liu

Publication date: 7 November 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.08.010

zbMATH Keywords

exponentially/polynomially fitted trial functionssingular beam equationweak-form integral equation method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items

Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions ⋮ Solving nonlinear singularly perturbed problems by fractional order exponential trial functions ⋮ Solving a singular beam equation by the method of energy boundary functions ⋮ Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method ⋮ Solvability of the clamped Euler-Bernoulli beam equation ⋮ Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions. ⋮ Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions

Cites Work

• Asymptotic numerical methods for singularly perturbed fourth-order ordinary differential equations of reaction-diffusion type
• Perturbation methods in applied mathematics
• A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
• An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
• Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs
• Superconvergence of conforming finite element for fourth‐order singularly perturbed problems of reaction diffusion type in 1D

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