Trigonometric tension B-spline method for the solution of problems in calculus of variations

DOI10.1134/S0965542518050020zbMath1457.65229OpenAlexW2808039302MaRDI QIDQ1662562

N. Alinia, M. Zarebnia

Publication date: 20 August 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518050020

zbMATH Keywords

numerical methodtensionB-splinecalculus of variation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Variational methods applied to PDEs (35A15) Spline approximation (41A15)

Related Items (4)

A quartic trigonometric tension B‐spline finite element method for solving Gardner equation ⋮ A numerical scheme for the wave simulations of the Kuramoto-Sivashinsky model via quartic-trigonometric tension B-spline ⋮ Numerical simulations of reaction-diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines ⋮ A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines

Cites Work

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• Unified and extended form of three types of splines
• Shifted Legendre direct method for variational problems
• Laguerre series direct method for variational problems
• Theory of exponential splines
• Properties of splines in tension
• A Walsh series direct method for solving variational problems
• \(GB\)-splines of arbitrary order
• Shifted Chebyshev direct method for solving variational problems
• A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines

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