Application of a differential transformation method to strongly nonlinear damped \(q\)-difference equations

DOI10.1016/J.CAMWA.2011.02.048zbMath1221.39010OpenAlexW2092836066MaRDI QIDQ639068

Hsuan-Ku Liu

Publication date: 18 September 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.048

zbMATH Keywords

approximate solutionsdifferential transformation method\(q\)-polynomialsnonlinear \(q\)-difference equation

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13)

Related Items (7)

Developing a series solution method of \(q\)-difference equations ⋮ Legendre wavelet – quasilinearization technique for solvingq-difference equations ⋮ A new algorithm for solving dynamic equations on a time scale ⋮ Application of the variational iteration method to strongly nonlinear \(q\)-difference equations ⋮ On q,ω -differential transform method ⋮ The formula for the multiplicity of two generalized polynomials on time scales ⋮ A new algorithm for solving terminal value problems of \(q\)-difference equations

Cites Work

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• Differential transformation technique for solving higher-order initial value problems
• q-difference equations of KdV type and Chazy-type second-degree difference equations
• Hierarchies of nonlinear integrableq-difference equations from series of Lax pairs
• A q-difference version of the ϵ-algorithm
• The factorization of aq-difference equation for continuousq-Hermite polynomials

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