Solving nonlinear singularly perturbed problems by fractional order exponential trial functions

DOI10.1016/J.AML.2018.04.008OpenAlexW2797410161WikidataQ115597966 ScholiaQ115597966MaRDI QIDQ1644170

Chih-Wen Chang, Chein-Shan Liu

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.04.008

zbMATH Keywords

weak-form integral equation methodadjoint test functionsfractional order exponential trial functionsnonlinear singularly perturbed problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems

Cites Work

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• Solving a singular beam equation by using a weak-form integral equation method
• Singular perturbation methods for ordinary differential equations
• An initial-value approach for solving singularly perturbed two-point boundary value problems
• Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions

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