\(F\)-transform-based shooting method for nonlinear boundary value problems

DOI10.1007/s00500-017-2543-5zbMath1384.65046OpenAlexW2601069494MaRDI QIDQ1701833

Radek Valášek, Petra Števuliáková, Irina Perfilieva

Publication date: 27 February 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-017-2543-5

zbMATH Keywords

stabilitynumerical exampletwo-point boundary value problemsshooting methodnonlinear second-order ordinary differential equations\(F\)-transformhigher-degree \(F\)-transform

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (3)

Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle ⋮ Discrete fractional calculus for interval-valued systems ⋮ An approximation method to solve coupled system ODEs of order second using fuzzy transform

Cites Work

• Towards a higher degree \(F\)-transform
• Fuzzy transforms of higher order approximate derivatives: A theorem
• A new fuzzy approximation method to Cauchy problems by fuzzy transform
• Fuzzy transforms: theory and applications
• F-TRANSFORM FOR NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM
• Fuzzy transform to approximate solution of two‐point boundary value problems
• Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform
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