APPROXIMATE SOLUTIONS OF THE SWIFT-HOHENBERG EQUATION WITH DISPERSION

DOI10.32523/2077-9879-2023-14-1-71-80OpenAlexW4363609311MaRDI QIDQ6114127

H. Rouhparvar

Publication date: 14 August 2023

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj463

zbMATH Keywords

Swift-Hohenberg equationdifferential transform methodreduced differential transform method

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Cites Work

• Unnamed Item
• Solitary wave solutions for the KdV and mKdV equations by differential transform method
• Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation
• Application to differential transformation method for solving systems of differential equations
• Differential transform method applied to high index differential-algebraic equations
• Solution of free vibration equations of beam on elastic soil by using differential transform method
• Analytical and numerical results for the Swift-Hohenberg equation
• Reduced differential transform method for generalized KdV equations
• Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method
• Analysis of the response of a strongly nonlinear damped system using a differential transformation technique
• On the two-dimensional differential transform method
• Solutions of the system of differential equations by differential transform method
• Two-dimensional differential transform for partial differential equations
• Differential transformation technique for solving higher-order initial value problems
• Solution of fractional differential equations by using differential transform method
• Solution of boundary value problems for integro-differential equations by using differential transform method
• Stable particle-like solutions of multidimensional nonlinear fields
• On small stationary localized solutions for the generalized 1-D Swift–Hohenberg equation