On accuracy and stability analysis of the reproducing kernel space method for the forced Duffing equation

DOI10.1155/2016/3520815zbMath1353.34019OpenAlexW2530964987WikidataQ59124243 ScholiaQ59124243MaRDI QIDQ341220

Bahram Asadi, Taher Lotfi

Publication date: 16 November 2016

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3520815

zbMATH Keywords

convergence orderreproducing space method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• A new reproducing kernel method for linear nonlocal boundary value problems
• A reproducing kernel method for solving nonlocal fractional boundary value problems
• Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions
• Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space
• Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems
• Error estimation for the reproducing kernel method to solve linear boundary value problems
• Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers
• Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
• Some error estimates for solving Volterra integral equations by using the reproducing kernel method
• The exact solution of system of linear operator equations in reproducing kernel spaces
• On the numerical verification of the asymptotic expansion of duffing's equation
• Application of He's energy balance method to Duffing-harmonic oscillators
• Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space

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