CONVERGENCE AND APPLICATION OF A MODIFIED DOUBLE LAPLACE TRANSFORM (MDLT) IN SOME EQUATIONS OF MATHEMATICAL PHYSICS

DOI10.17654/0974324323010OpenAlexW4378227747MaRDI QIDQ6115099

Shams A. Ahmed, Mourad Chamekh, Tarig M. Elzaki

Publication date: 15 August 2023

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0974324323010

zbMATH Keywords

convergenceBenney-Luke equationpseudo-hyperbolic equationmodified double Laplace transform (MDLT)

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Cites Work

• New iterative method: an application for solving fractional physical differential equations
• A Laplace variational iteration strategy for the solution of differential equations
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Applications of numerical double Laplace transform algorithms to the solution of linear partial differential equations
• Variational iteration method for delay differential equations
• Solving coupled pseudo-parabolic equation using a modified double Laplace decomposition method
• Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers
• Variational iteration method for fractional calculus -- a universal approach by Laplace transform
• Application of double Laplace decomposition method for solving singular one dimensional system of hyperbolic equations
• On the new double integral transform for solving singular system of hyperbolic equations
• Variational iteration method for autonomous ordinary differential systems

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