Two numerical methods for solving the Schrödinger parabolic and pseudoparabolic partial differential equations

DOI10.1155/2022/6542490zbMath1490.35215OpenAlexW4293100977WikidataQ114068317 ScholiaQ114068317MaRDI QIDQ2142406

Sevgi Kuşulay, Bushra Bajjah, Mahmut Modanlı

Publication date: 27 May 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/6542490

zbMATH Keywords

modified double Laplace decomposition methodsemianalytic solutions

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
• Three-dimensional Laplace Adomian decomposition method and singular pseudoparabolic equations
• Solution of time-independent Schrödinger equation by the imaginary time propagation method
• Solving coupled pseudo-parabolic equation using a modified double Laplace decomposition method
• Three layer difference method for linear pseudo-parabolic equation with delay
• Reconstructing an unknown potential term in the third-order pseudo-parabolic problem
• A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates
• Finite time blowup for a semilinear pseudo-parabolic equation with general nonlinearity
• An approximate analytical solution of the nonlinear Schrödinger equation with harmonic oscillator using homotopy perturbation method and Laplace-Adomian decomposition method
• Analysis of second order finite volume element methods for pseudo-parabolic equations in three spatial dimensions
• On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation

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