Approximate solutions of multidimensional wave problems using an effective approach

DOI10.1155/2023/5484241zbMath1517.35132MaRDI QIDQ6099088

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Publication date: 19 June 2023

Published in: Journal of Function Spaces (Search for Journal in Brave)

zbMATH Keywords

Laplace-Carson homotopy integral transform method (LCHITM)Laplace-Carson integral transform (LCIT)

Mathematics Subject Classification ID

Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Cites Work

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• The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations
• Convergence of the homotopy perturbation method for partial differential equations
• Approximate solution of two-dimensional nonlinear wave equation by optimal homotopy asymptotic method
• The modified extended tanh method with the Riccati equation for solving the space-time fractional EW and MEW equations
• Analytical approach to linear fractional partial differential equations arising in fluid mechanics
• An analytical numerical method for solving fuzzy fractional Volterra integro-differential equations
• Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method
• Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
• Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method

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